数学中国

标题: 哥德巴赫猜想解的个数的绝对下限 [打印本页]

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作者: ysr    时间: 2020-10-25 19:53
标题: 哥德巴赫猜想解的个数的绝对下限
       猜想内容:大于等于4的偶数都可以表示为两个素数的和。简记为“1+1”。其实就是个偶数的拆分问题。如:4=2+2，6=3+3，8=3+5，10=5+5=3+7，……   我们叫10有两个“1+1”，或两个哥猜素数和对。只要有一个“1+1”哥猜就成立，下面来证明。
         将偶数2A内数字如下排列(上排是大的)即得全部拆分:
A    A+1   A+2  ……   2A-3   2A-2   2A-1
A    A-1    A-2   ……    3          2           1
对应项数字之和为2A。
        从这两个数列可以得到这个现象和下面这些定理。
        (现象)当A为奇数时，上下排的奇数对比偶数对多一对，当A为偶数时，上下排的奇数对和偶数对相等。如210拆分:
105   106   107   ……207   208   209
105   104   103   ……   3       2         1
上排少了1个偶数210，下排多了一个奇数105，则奇数比偶数多了2个。
再如204分拆:
102   103 …… 201  202  203
102   101 ……    3       2       1
上排少写了一个偶数204，下排多写了一个偶数102，奇偶数个数仍相等。
        定理1:偶与偶必相对，奇与奇必相对；若2A除以P余0，则上下排含素因子P的项必然相对且无剩余；若2A除以p余r，则除以P余r的项和余0的项上下排相对且无剩余。
         定理2:设[√(2A)]=M(取整数部分)，则2A内的合数全部分别含有M内的素因子。理论上说，除以P余0的项与除以P余r(某确定的数)的项个数相等。(若2A除以p余r，设1≤r-s<p，则上下排除p余r-s的项与除以p余s的项互相对应，没有剩余。)
        定理3:除P余0的项和除以P余r的项规律出现，以P为周期间隔出现，不会总是挤在一起。
        定理4:素数无限多且分布越来越稀，而且还是疏密相间分布的。
        设下排的素数个数和合数个数分别为a和b，上排的分别为c和d，则a+b=c+d，由于素数分布越来越稀，则a>c，a-c=d-b=e>0.(不加说明，一般把1算在下排合数个数里)
       设上排的合数被下排的对应项刚好抵消完时，下排剩下的合数为b1素数为a1则有:c=a1+b1，只要a1>=1则哥猜成立，下面证明。

        下面证明a1>=m-1：
（注意：设m为偶数2A的方根M内的素数个数，且这个数值是以文章中的个数公式计算结果为标准的，因为公式结果是下限是低于实际的。特此注明！）
        首先证明偶数2A仅A内的素数个数就大于（m-1）^2个：
      证明：由素数个数公式Y/lnY知，(这是个下限公式，低于实际，不会影响结论的推导)，a=A/lnA，m=2√(2A)/ln(2A)，则(m-1)^2=8A/(ln(2A))^2-4√(2A)/ln(2A)+1，可见该函数非抛物线。
       由于lnA<<(ln(2A))^2，分子A→8A扩大了8倍，分母扩到自身平方，分母增长更快些，则A/lnA>8A/(ln(2A))^2>8A/(ln(2A))^2-4√(2A)/ln(2A)+1，故a>(m-1)^2.
若下排素数每m-1个算一个区间，就会有m-1个区间，若每个区间有1个素数产生哥德巴赫猜想素数和对，则就会有m-1个哥德巴赫猜想解。就是a1>=m-1.
       若上排的素数个数c大于m，能产生m-1对就是可能的。
      
下面证明c≠0，且c>m:
       据相邻素数的最大差定理(见本人发《数学中国》论坛的《某数内的最大的相邻素数差》一文，若使A~2A之间的最大相邻素数差为4n或4n+2，则须A>n^4，则2A=2n^4，而n^4+4n或n^4+4n+2远远小于2n^4，故二者之间会有许多素数。另有:当A=101时，101~201之间有4个平方数，121，144，169，196，跨5个杰波夫区间，每个区间至少含1个素数，更强的定理:100以上，每个区间至少含2个素数。随着A增大，区间个数增多，区间长度增大，甚至每个含有成千上万个素数。故A~2A之间不会没有素数，即c≠0.虽偶有c2=c1-1的情况，但当A>101时，c>>1，故几乎没减少一样，c近似于不减函数，经验证及查素数表知c就是个近似的不减函数，当2A=210时，c=19，m=6，c>m成立，c与m为同一个函数，变量A>M=[√(2A)]，则c的增长快于m，故当2A>=202时，c>m成立，当A增大c>>m。
下面证明，每m-1个素数为一个区间，平均每个区间至少1个素数和对成立：
证明公式
（(P^2)/4)*(1/3)*(3*/5)*......*(1-2/P)/(m-1)>1.
而公式（(P^2)/4)*(1/3)*(3*/5)*......*(1-2/P)/(m-1)就是每m-1个素数中的哥德巴赫猜想解的个数的平均值。

由于p^2+1才是偶数公式也可以改成这样，公式
（(P^2+1)/4)*(1/3)*(3*/5)*......*(1-2/P)/(m-1)>1.（其中m-1>=2公式才成立）(不等式左侧就是每个区间内的哥德巴赫猜想解的个数的平均值的最低值)

证明连乘积公式：（（p^2+1）/4）*（1/3）*（3/5）*……*（1-2/p）/（m-1）为不减函数，（其中m-1>=2）
（注：公式中p为偶数2A方根M内的最大素数。）

证明：由于p^2+1>p>m，所以连乘积分子大于分母m-1，也可以这样做，我们去掉分母m-1不讨论，先讨论分子连乘积的大小，第一项乘数（p^2+1）/4不考虑先去掉，剩下的为（1/3）*（3/5）*……*（1-2/p），这是个减函数，若把分母都变为连续的奇数，则为（1/3）*（3/5）*……*（1-2/（2s+1））（设2s+1=p），错位约分得到结果为1/（2s+1）=1/p，由于这是个减函数，项数越多越小，比原来的连乘积多了不少项，所以是小于原来的连乘积的，由于p^2+1>p>m，所以若p>=97，则p/4>m-1，（因为97以内有25个素数，此时m-1=24），（p^2+1）/p>（p^2+1）/（4p）>m-1，则因为分子大于（p^2+1）/（4p），则有此时分子大于分母m-1，分子的增长速度大于分母的增长速度故是不减函数，而在p小于97时，我们可以代入数值验证其整数部分是不减函数，则原函数是不减函数，证毕！

连乘积公式结果： 500  方根内最大素数19 方根内的素数个数8  每m-1个中的平均值1.00667189952904  总个数为9.75997686524001（由连乘积公式计算从300开始，在每m-1个素数中的平均值已经开始大于1了，这里说的从500开始是保守的说法。）
实际500拆分为：
500的方根为22.3606797749979,
22内有8个素数，所以，m-1=8-1=7，方根内有1个总数有13个:500=13+ 487
37+ 463
43+ 457
61+ 439
67+ 433
79+ 421
103+ 397
127+ 373
151+ 349
163+ 337
193+ 307
223+ 277
229+ 271
由于13/7=1.857142857大于1了，因此实际从500开始平均值的最低值早就大于1了。
所以平均值的最低值是大于等于1的，按1计算是绝对下限。（前面已经证明了，这个平均值的最低值是个不减函数，或者说平均值的极小值是个不减函数，就是说随着偶数增大还会增大。而平均值是会随着偶数哥德巴赫猜想解的总个数的波动而波动的，幅度不大不明显而已，但平均值的极小值是不波动的，前面证明了是不减函数！）
理论公式平均值就是这个：（（p^2+1）/2）*（1/2）*（1/3）*……*（1-2/p）/（m-1）
理论上大于500的偶数都成立，实际验证，在4~500范围内，这个平均值都是大于等于1的，所以a1>=m-1，且随着偶数增大远远大于m-1.

      所以不等式c>=a1>=m-1成立，a1决定了哥猜素数和对个数，这个不等式表示了哥猜素数和对的两个绝对界线，c是绝对上限，m-1为绝对下限。（其中的m是以前面的公式计算结果为标准的，就是m=2√(2A)/ln(2A)）

由于m-1是偶数2A方根M内的素数个数，而素数个数为不减函数，随着偶数增大，m-1远远大于1，故哥德巴赫猜想远远成立。

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作者: ysr    时间: 2020-10-27 05:59
差定理的证明：
比如如下数列：
2n+1：3，5，7，……
2n+2m+1：3+2m，5+2m，7+2m，……
对应项差为2m，可以严格证明（我可以用多种方法证明，比如用欧几里得反证法）这两个数列中含有无穷多对素数对，而2m为全体偶数，m可以等于0，这就是差定理。2m就是所有，就是全体偶数。
从而由差定理推导和证明和定理（就是哥德巴赫猜想）：任意两个素数的和可以表示大于等于4的全体偶数。
证明：设p3>=p2>=p1>=3，由差定理知p2-p1=0，2，4，……，则有p2=p1+0，2，4，……（等式含义不解释）。由于p1，p2，p3各自集合无区别，则有p2+p3=2p1+0，2，4，……，又因为2p1>=6，4=2+2.故，命题成立。

证毕！

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作者: ysr    时间: 2021-1-12 15:39
哥德巴赫猜想非常容易证明，是远远成立的，并不是“世界级”难题。之所以没有被证明和认可，唯一的障碍就是中国科学院不重视基础理论！不讲科学不讲理！

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作者: vfbpgyfk    时间: 2021-1-12 17:36
1、 上排的合数被下排的主【对应项】刚好抵消完时——【对应项】指的是什么？
2、下排素数个数【小于】上排素数个数需要由证明来确认。
3、若是以实验数据为证明依据的话，别说500，就是5千万，也不能确定哥猜成立。但是，若是从素数对下限角度考虑哥猜问题的话，应以哥猜命题的题意为抓手。如果哥猜命题的题意就是要计算出每个偶数【各有多少】个素数的话，素数对下限计算就失去实用价值和意义啦。
4、按照你的计算公式作了次检验，检验中发现，除偶数为28外，再也没有真实素数对个数低于你的公式计算值了。
5、由你的计算公式计算得到的素数对下限值，在小于394范围内，比我的N/2ln(N)^2计算值大，在394~620区间的是相等的，从大于620后，就逐步地以小于本人的公式计算公值拉大差距，到达204122202时，就达到：278765-1498=277267了。

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作者: ysr    时间: 2021-1-12 17:54
1，对应项当然是既有合数也有素数的，唯一对应规则就是对应项的和为2A。
2，素数分布越来越稀(这就是个定理，书上有这句话的，可惜无人重视，这个书上应该有证明但我没有见，我可以证明的书上承认了咱不重复了)，所以，下一排的素数多于上一排的。
下面的老师应该能懂，不做解释了。
谢谢老师关注和鼓励！

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作者: ysr    时间: 2021-1-12 18:01
500是实际验证结果，理论值是p>=97，但p在97内的验证结果仍然成立，就是大于等于4的偶数都成立的。

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作者: ysr    时间: 2021-1-12 18:11


我知道你的28是怎么验证的，我的m值是以欧拉公式计算结果为标准的，28的方根为5(取整数部分)，实际5(包括5本身)内有3个素数，而ln5=1.6094取整数部分为1，此时m-1=1-1=0.
所以，这个不是反例，实际28=5+23=11+17，有2对素数和对解。不是反例。

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作者: ysr    时间: 2021-1-12 18:20
这个是绝对下限，随着偶数增大远远低于实际的，函数曲线比较平滑，后面就低于你的公式结果了。
在人为划分的那个区间内的平均值的最低值(或者说叫极低值)也是个不减函数，是随着偶数增大还增长的，我们不管它长不长了，就按1计算，结果就是绝对的下限，没有反例的。

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作者: ysr    时间: 2021-1-12 20:30


你这个计算公式是错误的，不是我的理论值，我的理论值是ln5=1.6094.
而且我的理论值是m-1，而不是m。

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作者: ysr    时间: 2021-1-12 20:39
若m=int(2*sqr(28)/ln28)=3,则m-1=3-1=2.
则仍然是符合实际的。

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作者: ysr    时间: 2021-1-12 20:48
m-1是指的偶数方根内的奇素数个数，m是以欧拉公式的计算结果为标准的。

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作者: ysr    时间: 2021-1-12 21:04


5/ln5=3，3-1=2.
对的，这样算是对的，结果一样。
还有偶数128也是这样，不能省掉-1.
2*128^(1/2)/ln128=4，4-1=3，实际128有3对素数和对。
只有大于等于500可以省掉-1。
为了不过多解释，理论值就是m-1.

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作者: ysr    时间: 2021-1-12 21:32
老师用的公式和计算结果都是对的，是你忘记了-1，m为偶数方根内的素数个数，m-1才是奇素数个数和绝对下限结果。

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作者: ysr    时间: 2021-1-12 22:38
谢谢老师点评和指导！
我是把素数越来越稀当定理来用的，这个容易证明，在我即将出版的书中给出了一个太过简略的证明，或者说是个说明。
这个不重要，重要的是各位是否承认这一句，或者说是否能提出更有理力的证明，或者能反驳？

这是我的证明的重要依据和出发点，你要是反驳了这一点，那我的东西就不成立了。

各位朋友，关于素数分布越来越稀的证明，您有更好的证明不妨提出来，当然，怕学术泄密你可以不发。

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作者: ysr    时间: 2021-1-12 22:41
公式中加了，咋没有加？就是说的下限是m-1吗？

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作者: vfbpgyfk    时间: 2021-1-12 22:47
根据你的定义，a是下排的素数个数。
X/ln(X)是素数定理，用于求解上排的素数个数，一点问题也没有。但是，它可不能直接用于求解下排的素数个数，正确的下排素数个数计算应该是：
2A/ln(2A)-A/ln(A)，由证明得知：下排素数个数(A/ln(A))(1-2ln(2)/ln(2A))。
所以，你对下排剩余素数的证明需要慎重考虑。

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作者: ysr    时间: 2021-1-12 22:51
如果老师也认为素数分布是越来越稀的，那我就不用证明了，我在好几种版本的数论书(包括不同年代的数论初步，简明数论等)中都见到过这句话，把它当做公认的定理了。
只是为了说明我的方法还可以证明素数越来越稀而不仅是能证明素数无穷多，才简略证明了一下。其实也就不算是证明，仅算是说明。如果要详细论述和证明，真的是费篇幅的。篇幅长了，会很长的。

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作者: ysr    时间: 2021-1-12 22:58
老师您是把上下排的计算公式弄反了，对于偶数2A下排是小数，是小于等于A的素数，公式就是A/lnA.

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作者: ysr    时间: 2021-1-12 22:59
上排的素数个数才是2A/ln(2A)-A/ln(A).

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作者: ysr    时间: 2021-1-13 08:41
谢谢老师关注和沟通！您想的太复杂了，没有那么复杂的，我们得到的是素数对，上下排必须都有而且对应的，不是说上排少就不会有剩余，如果没有剩余那就不成立了。
正是因为排稀少才能产生素数对呢。就是因为素数个数不同产生了差才会有素数和对，当然不是唯一的条件。你可以考虑其他原因，所以，方法是很多的，都是初等数学就可以的。并不难。

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作者: ysr    时间: 2021-1-13 08:56
比如偶数210，上排仅含有19个素数，正好产生了19个素数和对，上排的素数全部剩下了。
为啥呢？就是因为210所含的不同的素因子个数多，这一点你以前证明过，论述过，我不用班门弄斧了吧。

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作者: ysr    时间: 2021-1-13 08:59
以前我是分类讨论的，现在我们不用分类讨论了。省了不少事，只要弄出来最少能产生多少对就可以了。

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作者: vfbpgyfk    时间: 2021-1-13 09:04
设上排的合数被下排的对应项刚好抵消完时，下排剩下的合数为b1素数为a1则有:c=a1+b1，只要a1>=1
【下排剩下的合数为b1素数为a1】这是从理论上得出的结论，但是，若是从极端角度考虑的话，假如素数没有剩余的话（b1=0），那么这种理论上的剩余不就变成了事先确定有剩余了吗？
若是从素数定理角度计算2A平方根内的素数个数的话（当设这个区间内的素数个数为m时），则有：m=√2A/ln(√2A)，不知你是怎么得出：m=2√2A/ln(2A)的。
若下排素数每m-1个算一个区间，就会有m-1个区间，若每个区间有1个素数产生哥德巴赫猜想素数和对，则就会有m-1个哥德巴赫猜想解。就是a1>=m-1.
需要考虑的问题：
1、m是2A平方根内的素数个数。但是，在A范围内根本就不会有m-1个区间，而是A/(m-1)个区间（这个错误应该产生于由m=2√2A/ln(2A)转换到(m-1)^2=8A/(ln(2A))^2-4√(2A)/ln(2A)+1h上）。
例如：
当2A=100时，则有：m=√100/ln(√100)=4.34，50/3.34≈15
当2A=999时，则有：m=√990/ln(√990)=9.12，459/8.12≈61
当2A=1234时，则有：m=√1234/ln(√1234)=9.87，617/8.87≈70
2、每个A/(m-1)区间是否能够有素数构成素数和对是个未知数（可能能够构成，也可能不能构成）。所以，你的【若】是没有理论依据的，而且，【若】的本身就是个假设，怎么能以假设为数理依据呢？因此，你下面的推论就失去了意义和作用了。

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作者: ysr    时间: 2021-1-13 09:19
你说的问题下面都证明了，并不是假设有剩余才证明的，没有利用啥假设。
由于A内含有的素数个数超过了(m-1)^2个，所以，每m-1个算一个区间，正好可以分m-1个区间。

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作者: ysr    时间: 2021-1-13 10:07
不是可能不可能的事，下面给出证明了，是必然的，每一个区间至少一个是说的平均值，管他那个区间多，那个区间少还是没有呢，至于至少每个区间有一个的情况是在偶数大于63280之后，另一篇文章已经证明了，是严格证明的东西，不是啥可能不可能的事。这些命题是比哥德巴赫猜想更强的命题。都是成立的，而且是远远成立的。

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作者: ysr    时间: 2021-1-13 15:28
在功利者眼里，这样的文章毫无用处。
但在真正的科学爱好者眼里，科学大厦的每一砖一瓦都是弥足珍贵的，价值无可限量！

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作者: ysr    时间: 2021-1-14 10:25
素数分布越来越稀的数据：
从素数表可以看出：在1到100中间有25个素数,在1到1000中间有168个素数,在1000到2000中间有135个素数, 在2000到3000中间有127个素数，在3000到4000中间有120个素数,在4000到5000中间有119个素数,在5000到10000中间有560个素数。由此可看出，素数的分布越往上越稀少。

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作者: ysr    时间: 2021-1-14 10:32
证明：
素数定理
关于素数个数的研究是素数分布中最重要的问题之一。以 π(x)表示不大于x的素数个数，例如，π(2)=1，π(3)=2，π(100)=25，π(1000)=168。欧几里得早就证明了素数有无穷多个，即。从表可以看出：①x越大,π(x)与x的比值越接近于0；②x越大,π(x)与x/lnx的比值越接近于1。A.-M.勒让德和C.F.高斯猜测即通常所称的素数定理。它是素数分布理论的中心定理。在这方面首先做出贡献的是∏.Л.切比雪夫，他在1852年左右证明了存在两个正常数с1,с2，使得不等式с1x/lnx≤π(x)≤с2x/lnx成立，其中x≥2。在1896年，J.（-S.）阿达马和C.瓦莱·普桑彼此独立而又几乎同时证明了素数定理。他们的证明都使用了高深的复变函数论知识。因此，能否以尽可能初等的方法来证明素数定理，则成为数学家一直探讨的重要问题。1949年，A.赛尔伯格和P.爱尔特希给出了素数定理的初等证明，除了极限、lnx和e的性质之外，没有用到其他的分析知识，但证明过程十分复杂。

此证明过程已经包含了素数越来越稀的证明。

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作者: ysr    时间: 2021-1-14 10:35
不做定量的函数公式研究，仅证明素数分布越来越稀的话，仅此一句话就足够了，就是：
x越大,π(x)与x的比值越接近于0。

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作者: ysr    时间: 2021-1-14 10:44
素数分布越来越稀的数据：
从素数表可以看出：在1到100中间有25个素数,在1到1000中间有168个素数,在1000到2000中间有135个素数, 在2000到3000中间有127个素数，在3000到4000中间有120个素数,在4000到5000中间有119个素数,在5000到10000中间有560个素数。由此可看出，素数的分布越往上越稀少。
证明：
素数定理
关于素数个数的研究是素数分布中最重要的问题之一。以 π(x)表示不大于x的素数个数，例如，π(2)=1，π(3)=2，π(100)=25，π(1000)=168。欧几里得早就证明了素数有无穷多个，即。从表可以看出：①x越大,π(x)与x的比值越接近于0；②x越大,π(x)与x/lnx的比值越接近于1。A.-M.勒让德和C.F.高斯猜测即通常所称的素数定理。它是素数分布理论的中心定理。在这方面首先做出贡献的是∏.Л.切比雪夫，他在1852年左右证明了存在两个正常数с1,с2，使得不等式с1x/lnx≤π(x)≤с2x/lnx成立，其中x≥2。在1896年，J.（-S.）阿达马和C.瓦莱·普桑彼此独立而又几乎同时证明了素数定理。他们的证明都使用了高深的复变函数论知识。因此，能否以尽可能初等的方法来证明素数定理，则成为数学家一直探讨的重要问题。1949年，A.赛尔伯格和P.爱尔特希给出了素数定理的初等证明，除了极限、lnx和e的性质之外，没有用到其他的分析知识，但证明过程十分复杂。
此证明过程已经包含了素数越来越稀的证明。

不做定量的函数公式研究，仅证明素数分布越来越稀的话，仅此一句话就足够了，就是：
x越大,π(x)与x的比值越接近于0。

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作者: wangyangke    时间: 2021-3-3 19:41
不过些二百五、几坨狗屎而已——



[attach]93692[/attach]

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作者: lusishun    时间: 2021-3-3 20:31

wangyangke 发表于 2021-3-3 11:41
不过些二百五、几坨狗屎而已——

有一个斯露丝雨（不很准，）您没有统计上，你本人吧，老w先生

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作者: 愚工688    时间: 2021-3-4 12:12


计算任意大于5的偶数M的表为两个素数的下界计算式 inf(M)：
    有
        S(m)＞ inf(M)≈（A-2)P(m)/(1+0.21)=（A-2)/(1+0.21)×0.5*Π[(p-2)/p ]*Π[(p1-1)/(p1-2)],（M≥6）
    显然，这个偶数表法数的下界计算值 inf(M)是具有波动性的。

如果排除掉素数对下界计算值其中的波动因子Π[(p1-1)/(p1-2)],那么偶数素数对的下界计算值则称为区域下界计算值infS(m)。infS(m)是与偶数M的根号内的最大素数r有关联的。

因此以素数r的值作为划分区域下界计算值infS(m)的使用区域是比较适宜的。
    区域下界计算值infS(m)，有
        infS(m)= inf(M)/K(m) .
    infS(m)取整规则——向上取整。
   波动系数  K(m) =Π[(p1-1)/(p1-2)]

偶数M的区域下界计算值infS(m) 有两个基本特征：
1. 在r不变的区域，p(m)min是个常数，表法数的下界计算值infS(m)是个单调缓慢上升的数值；
2. 在不同的r区域的首个偶数，虽然随偶数增大r会逐级增大，最低发生概率p(m)min会逐渐下降，但是由于偶数M的增大速度远远超过了p(m)min的下降速度，因此各个r区域首位偶数的素对表法数的下界计算值infS(m)的相互比较，仍然是个随A增大而单调上升的数值。

因此可以得出结论：任意大偶数必然能够表为两个素数和的形式，即 偶数哥猜必定成立 。

从区域下界计算值式 infS(m) 上面论证猜想的成立，不仅具有理论上面的依据，还能够经得起实际偶数的验证。

最大素数r对应区间首个偶数表为两个素数之和数量的下界计算值infS(m)的计算与实际区域最少素对的偶数的示例：

r=2 与r=3 、r=5的的偶数区域：
M= 6       S(m)= 1     Sp(m)≈ .5       δ(m)≈-.5      K(m)= 1       infS(m)≈ .41
M= 12    S(m)= 1     Sp(m)≈ 1.333    δ(m)≈ .333    K(m)= 2       infS(m)≈ .55
S( 28 )= 2       Sp(m)≈ 1.2      δ(m)≈-.4     K(m)= 1       infS(m)≈ .99   

因为 infS(6)≈ .41 ，向上取整 =1，
所以：任意≥6的偶数表为两个素数之和的表法数不少于1；
实际素对低位值偶数有 ：S(6)= 1、S(8)= 1、S(12)= 1；

r=7的偶数区域（即7^2+3=52 起始的区域，下同）：
S( 52 )= 3       Sp(m)≈ 1.714    δ(m)≈-.429   K(m)= 1       infS(m)≈ 1.41  inf( 52 )≈ 1.41

因为 infS(52)≈ 1.41，向上取整= 2，
所以：任意≥52 的偶数表为两个素数之和的表法数不少于2；
实际素对低位值偶数有 ：S(68)=2 ；

r=11的偶数区域（即11^2+3=124 起始的区域，下同）：
M= 124     S(m)= 5     Sp(m)≈ 3.506     δ(m)≈-.299    K(m)= 1       infS(m)≈ 2.9

因为 infS(124)≈ 2.9，向上取整= 3，
所以：任意≥124 的偶数表为两个素数之和的表法数不少于3；
实际素对低位值偶数有 ：S(128)= 3；

r=13的偶数区域：
M= 172     S(m)= 6     Sp(m)≈ 4.154     δ(m)≈-.308    K(m)= 1       infS(m)≈ 3.43

因为 infS(172)≈ 3.43，向上取整= 4，
所以：任意≥172 的偶数表为两个素数之和的表法数不少于4；
实际素对低位值偶数有 ：S(188)= 5；

r=17与r=19的偶数区域：
M= 292     S(m)= 8     Sp(m)≈ 6.283     δ(m)≈-.215    K(m)= 1       infS(m)≈ 5.19
M= 364     S(m)= 14    Sp(m)≈ 9.199     δ(m)≈-.343    K(m)= 1.309   infS(m)≈ 5.81

因为 infS(292)≈ 5.19，向上取整= 6，
所以：任意≥292 的偶数表为两个素数之和的表法数不少于6 ；
实际素对低位值偶数有 ：S( 332 )= 6 ；

r=23的偶数区域：
M= 532     S(m)= 17    Sp(m)≈ 11.957    δ(m)≈-.297    K(m)= 1.271   infS(m)≈ 7.78

因为 infS(532)≈ 7.78，向上取整= 8，
所以：任意≥532 的偶数表为两个素数之和的表法数不少于8；
实际素对低位值偶数有 ：S( 542 )= 10 、S(632)= 10；

r=31的偶数区域：
M= 964     S(m)= 18    Sp(m)≈ 14.902    δ(m)≈-.172    K(m)= 1       infS(m)≈ 12.31

因为 infS(964)≈ 12.3，向上取整= 13，
所以：任意≥964 的偶数表为两个素数之和的表法数不少于13；
实际素对低位值偶数有：S( 992 )= 13 ；

r=37的偶数区域：
M= 1372    S(m)= 27    Sp(m)≈ 24.105    δ(m)≈-.107    K(m)= 1.2     infS(m)≈ 16.6

因为 infS(1372)≈ 16.6，向上取整= 17，
所以：任意≥1372 的偶数表为两个素数之和的表法数不少于17；
实际素对低位值偶数有：S( 1412 )= 18 ；

r=41的偶数区域：
M= 1684    S(m)= 31    Sp(m)≈ 23.465    δ(m)≈-.243    K(m)= 1       infS(m)≈ 19.4

因为 infS(1682)≈ 19.4，向上取整= 20，
所以：任意≥1682 的偶数表为两个素数之和的表法数不少于20；
实际素对低位值偶数有：S( 1718 )= 21 ；

……
可以看到，各个不同素数对应的区域下界素对数量计算值infS(m)与不小于该偶数的限定区域偶数的素对最小值是比较接近的。

而对于比较大的连续偶数的验证表明，偶数M的表为两个素数的下界计算式 inf(M)具有比较高的计算精度与相对误差值趋同性：
1000亿的偶数的素对计算值的相对误差：
G(100000000000) = 149091160；inf( 100000000000 ) = 1/(1+ .21 )*( 100000000000 /2 -2)*p(m) ≈ 142957976.6 ,Δ≈-0.041137
G(100000000002) = 268556111；inf( 100000000002 ) = 1/(1+ .21 )*( 100000000002 /2 -2)*p(m) ≈ 257491343.1 ,Δ≈-0.041201
G(100000000004) = 111836359；inf( 100000000004 ) = 1/(1+ .21 )*( 100000000004 /2 -2)*p(m) ≈ 107224584.4 ,Δ≈-0.041239
G(100000000006) = 111843604；inf( 100000000006 ) = 1/(1+ .21 )*( 100000000006 /2 -2)*p(m) ≈ 107245660.7 ,Δ≈-0.041110,
G(100000000008) = 223655943；inf( 100000000008 ) = 1/(1+ .21 )*( 100000000008 /2 -2)*p(m) ≈ 214436964.8 ,Δ≈-0.041219

10000亿的偶数的素对计算值的相对误差：
G( 1000000000000 )=1243722370 ;inf( 1000000000000 ) = 1/(1+ .21 )*( 1000000000000 /2 -2)*p(m) ≈ 1201359378.5 ;Δ≈-0.034061;
G( 1000000000002 )= 1865594604;inf( 1000000000002 ) = 1/(1+ .21 )*( 1000000000002 /2 -2)*p(m) ≈ 1802039067.8 ;Δ≈-0.034067;
G( 1000000000004 )= 1006929938;inf( 1000000000004 ) = 1/(1+ .21 )*( 1000000000004 /2 -2)*p(m) ≈  972589636.4 ;Δ≈-0.034104;
G( 1000000000006 )= 1121226810;inf( 1000000000006 ) = 1/(1+ .21 )*( 1000000000006 /2 -2)*p(m) ≈ 1083010586.8 ;Δ≈-0.034084;

10万亿偶数的素对计算值的相对误差：
G(10000000000000) = 10533150855 ;inf( 10000000000000 )≈  10236702086.4 , Δ≈-0.028144 ,infS(m) = 7677526564.82 ,
G(10000000000002) = 15813767528 ;inf( 10000000000002 )≈  15368742740.2 , Δ≈-0.028142 ,infS(m) = 7677526564.82 ,
G(10000000000004) = 9479735161  ;inf( 10000000000004 )≈  9213031877.8 ,  Δ≈-0.028134 ,infS(m) = 7677526564.82 ,

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作者: ysr    时间: 2021-3-4 14:11

愚工688 发表于 2021-3-4 04:12
计算任意大于5的偶数M的表为两个素数的下界计算式 inf(M)：
    有
        S(m)＞ inf(M)≈（A-2)P(m)/(1+0.21) ...

谢谢沟通探讨，您的下界值公式用到了连乘积公式？那是计算量太大的，不可能算到很大的数据，希望改进。
我的绝对下限比实际小的多，能证明哥德巴赫猜想，但在实际计算中用处不大。
如果你的接近实际，即使管不到无穷大，也可能是有用的有价值的，希望改进一下，把连乘积公式换做其他不需要筛选素数的函数。这样就可以计算更大的数据了。

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作者: 重生888@    时间: 2021-3-4 16:46

ysr 发表于 2021-3-4 14:11
谢谢沟通探讨，您的下界值公式用到了连乘积公式？那是计算量太大的，不可能算到很大的数据，希望改进。
...

我的四个新公式你了解吗？

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作者: ysr    时间: 2021-3-4 18:35

重生888@ 发表于 2021-3-4 08:46
我的四个新公式你了解吗？

谢谢您沟通探讨！我不了解，如果您认为有独到先进之处，希望继续努力！祝愿取得更大成绩！

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作者: lusishun    时间: 2021-3-4 18:44
我建议论坛的网友，无需探讨偶数表为素数对的公式，
1、永远得不到精确公式，
2，用公式的误差分析，判断哥猜成立，不容易被接受。
3，证明注重的逻辑推理的过程。
4，节约精力，做点别的事，更有意义。

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作者: 愚工688    时间: 2021-3-5 11:22

ysr 发表于 2021-3-4 06:11
谢谢沟通探讨，您的下界值公式用到了连乘积公式？那是计算量太大的，不可能算到很大的数据，希望改进。
...

实际上素数连乘积公式的计算是最符合数理的，因为判断素数的最准确的方法只有艾氏筛法。
当然其它的计算方法也能够比较精确的计算偶数的素对数理，也确实能够计算更大的偶数。但是不能否定艾氏筛法的正确性与不可替代的地位。
比如哈代素对计算式（已化为单记）的计算：
虽然单单计算是能够满足更大的偶数的情况，但是真值的筛选也仍然离不开艾氏筛，因此计算的偶数再大，没有对应的真值比较，也是无用的。
因此我们只能在有限的范围内研究偶数的素对数量的变化规律，一切计算充分大、无限大偶数的言论，除了忽悠之外，都是不能实现的空话。
对数计算素对的实例：
S( 1000000000000000 ) = 783538341852  ;h(10^ 15 ) ≈  737867593871  δ(M)≈-0.05829
S( 1D+16 ) =                     ;h(10^ 16 ) ≈  6485164798463.9     δ(M)≈
S( 1D+17 ) =                     ;h(10^ 17 ) ≈  57446442040612.3    δ(M)≈
S( 1D+18 ) =                     ;h(10^ 18 ) ≈  512408086255259.1   δ(M)≈
S( 1D+19 ) =                     ;h(10^ 19 ) ≈  4598897907379382    δ(M)≈
S( 1D+20 ) =           ;h(10^ 20 ) ≈  4.1505053217032D+16        δ(M)≈
S( 1D+21 ) =           ;h(10^ 21 ) ≈  3.764630903308817D+17      δ(M)≈
S( 1D+22 ) =           ;h(10^ 22 ) ≈  3.430169785261958D+18      δ(M)≈
S( 1D+23 ) =           ;h(10^ 23 ) ≈  3.13837836289502D+19       δ(M)≈
S( 1D+24 ) =           ;h(10^ 24 ) ≈  2.882295408378367D+20      δ(M)≈

S( 1D+100 ) =          ;h(10^ 100 ) ≈  1.660202174550452D+95     δ(M)≈
S( 1D+101 ) =          ;h(10^ 101 ) ≈  1.627489570147807D+96     δ(M)≈
S( 1D+102 ) =          ;h(10^ 102 ) ≈  1.595734444626755D+97     δ(M)≈
S( 1D+103 ) =          ;h(10^ 103 ) ≈  1.564899790357675D+98     δ(M)≈
S( 1D+104 ) =          ;h(10^ 104 ) ≈  1.534950266128008D+99     δ(M)≈

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作者: 重生888@    时间: 2021-3-5 18:48

愚工688 发表于 2021-3-5 11:22
实际上素数连乘积公式的计算是最符合数理的，因为判断素数的最准确的方法只有艾氏筛法。
当然其它的计算 ...

愚工先生好！我计算了几个数，不知误差多大，放在下面，望指正，谢谢！
偶数                                            愚工数据                                    吴代业计算                 误差
10^15                                    783538341852                           739012714490            -0.05 83
10^16                                    6485164798463                         6473008650712
10^17                                   57446442040612                       57165087927426
10^18                                  512408086255259                      508521463112089
......
我的公式：D（n） =5/6*(n+2n/lnn)/(lnn)^2
以上是同因子偶数，素数对呈线性增长！     

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作者: lusishun    时间: 2021-3-6 08:57
给出近似公式，大家是为了什么？
证明哥猜吗？
找出规律吗？

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作者: 蔡家雄    时间: 2021-12-24 11:27
蔡氏偶数猜想

设 2m=p1+p2 表为二素数之和，且 2m+p1 与 2m+p2 均为素数，

每个大于10^10的偶数 2m=素数p1+素数p2，

且 6m=素数(2m+p1)+素数(2m+p2) 均有解。

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作者: 蔡家雄    时间: 2021-12-24 11:39
但，大于6，小于一百，就有多个偶数：不成立！小于一万，就会有更多个偶数：不成立！！

这些不成立的偶数，都不满足：6m＝素数(2m+p1)+素数(2m+p2) 均有解。

王兄：你可以用程序计算小于等于一万，有哪些偶数是成立的蔡氏偶数？

程序显示：2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

---

作者: 蔡家雄    时间: 2021-12-24 17:31
点评：时空伴随者

这是一个假命题，当m不是3的倍数时，p1、p2、2m+p1、2m+p2有3的倍数。  发表于 2021-12-24 14:25

如：m=4, [当m不是3的倍数时，p1、p2、2m+p1、2m+p2有3的倍数。]

但，2m=2*4=8是成立的蔡氏偶数，p1=3,  p2=5,  8+3 与 8+5 均为素数。

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作者: 时空伴随者    时间: 2021-12-24 18:42

蔡家雄 发表于 2021-12-24 17:31
点评：时空伴随者

这是一个假命题，当m不是3的倍数时，p1、p2、2m+p1、2m+p2有3的倍数。  发表于 2021-1 ...

接下来是2*5=10，3，7，13，17
3的倍数中3是惟一的素数。2m-3也为素数的概率很低，再加上2m+3、4m-3也同时为素数的概率就更低了，当m不能被3整除时。

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作者: 蔡家雄    时间: 2021-12-24 18:51
我的命题：

且 6m=素数(2m+p1)+素数(2m+p2) 均有解。没提及2m-3, 4m-3,  而是 2m+p1,  2m+p2,  

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作者: 时空伴随者    时间: 2021-12-24 18:53
蔡家雄点评
我的命题：且 6m=素数(2m+p1)+素数(2m+p2) 均有解。没提及2m-3, 4m-3, 而是2m+p1, 2m+p2,  发表于 2021-12-24
p1、p2、2m+p1、2m+p2有3的倍数，如果它们都是都是素数，只有p1=3才有可能！？

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作者: 时空伴随者    时间: 2021-12-24 19:04

蔡家雄 发表于 2021-12-24 18:51
我的命题：

且 6m=素数(2m+p1)+素数(2m+p2) 均有解。没提及2m-3, 4m-3,  而是 2m+p1,  2m+p2,

p1、p2、2m+p1、2m+p2有3的倍数，如果它们四个数，（不包括2m，）都是都是素数，只有p1=3才有可能！？

---

作者: 时空伴随者    时间: 2021-12-24 19:15

蔡家雄 发表于 2021-12-24 18:51
我的命题：

且 6m=素数(2m+p1)+素数(2m+p2) 均有解。没提及2m-3, 4m-3,  而是 2m+p1,  2m+p2,

你自己慢慢猜想吧，我点到为止！

---

作者: 蔡家雄    时间: 2021-12-24 19:18

时空伴随者 发表于 2021-12-24 19:15
你自己慢慢猜想吧，我点到为止！

蔡家雄的：设 2m=p1+p2 表为二素数之和，且 2m+p1 与 2m+p2 均为素数，  发表于 2021-12-24 19:10

我对另一人的点评：p1、p2、2m+p1、2m+p2 有3的倍数，那么它们四个数 不全为 素数，不合蔡氏偶数猜想的题设，

---

作者: 时空伴随者    时间: 2021-12-24 19:30

蔡家雄 发表于 2021-12-24 19:18
蔡家雄的：设 2m=p1+p2 表为二素数之和，且 2m+p1 与 2m+p2 均为素数，  发表于 2021-12-24 19:10

我 ...

在你的题设条件下，加上一条m不是3的倍数，就能得出：p1、p2、2m+p1、2m+p2 有3的倍数。
你若不信，举一个反例即可！

---

作者: 时空伴随者    时间: 2021-12-24 20:07

蔡家雄 发表于 2021-12-24 19:18
蔡家雄的：设 2m=p1+p2 表为二素数之和，且 2m+p1 与 2m+p2 均为素数，  发表于 2021-12-24 19:10

我 ...

你的眼睛倒是睁大了，可惜眼大无光！不管多大的偶数，是不是你说的2m，你能保证m是3的倍数吗？

---

作者: 时空伴随者    时间: 2021-12-24 20:22
[attach]105691[/attach]
你是真会装疯卖傻充楞，不成立的也叫蔡氏偶数？成立大约是三分之一略多。

---

作者: 时空伴随者    时间: 2021-12-24 20:36
[attach]105693[/attach]
跟你说话太累，你不能直接回复吗？不管算到多大，也是三分之一略多一点点而已！

---

作者: 蔡家雄    时间: 2021-12-24 20:41
偶数越大，哥猜数对就越大！！！

---

作者: 时空伴随者    时间: 2021-12-24 20:44

蔡家雄 发表于 2021-12-24 20:41
偶数越大，哥猜数对就越大！！！

跟你的猜想没有直接联系，任何大的素数都不是3的倍数！
没必要再争辩了。

---

作者: 蔡家雄    时间: 2021-12-24 21:07
如果10000以内约有10000/2 /3.33 个 能成立的蔡氏偶数，
如果20000以内约有20000/2 /3.32 个 能成立的蔡氏偶数，
如果30000以内约有30000/2 /3.31 个 能成立的蔡氏偶数，
如果40000以内约有40000/2 /3.30 个 能成立的蔡氏偶数，
如果50000以内约有50000/2 /3.29 个 能成立的蔡氏偶数，
如果60000以内约有60000/2 /3.28 个 能成立的蔡氏偶数，
如果70000以内约有70000/2 /3.27 个 能成立的蔡氏偶数，
如果80000以内约有80000/2 /3.26 个 能成立的蔡氏偶数，
如果90000以内约有90000/2 /3.25 个 能成立的蔡氏偶数，

如果10^9 以内约有 10^9 /2 /1.01 个 能成立的蔡氏偶数，

---

作者: 蔡家雄    时间: 2021-12-24 21:50
偶数越大，哥猜素数对就越大！！！

ysr 兄：用你的估计公式，

10^8 的哥猜素数对大约为 ？

10^9 的哥猜素数对大约为 ？

10^10 的哥猜素数对大约为 ？

---

作者: ysr    时间: 2021-12-24 21:55

蔡家雄 发表于 2021-12-24 13:50
偶数越大，哥猜素数对就越大！！！

ysr 兄：用你的估计公式，

这个好回答，我的都是下限公式：
1，绝对下限公式：设偶数X其方根为M=X^(1/2),c=M/lnM,则绝对下限为c-1.
2，下限公式：设d=c/(ln(16*c)+1),则当偶数大于等于150时下限为：s=c*d-1.
3，下限公式：当偶数大于等于484时，则下限公式为：s=c*(c/ln(4*c)-1)-1.

公式1<公式2<公式3.

你的要求都是大偶数，用公式3更接近实际。

---

作者: 蔡家雄    时间: 2021-12-24 21:59
但，大于6，小于一百，就有多个偶数：不成立！小于一万，就会有更多个偶数：不成立！！

这些不成立的偶数，都不满足：6m＝素数(2m+p1)+素数(2m+p2) 均有解。

王兄：你可以用程序计算小于等于一万，有哪些偶数是成立的蔡氏偶数？

程序显示：2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

---

作者: ysr    时间: 2021-12-24 22:01
10^8 的哥猜素数对大约为 ？
利用公式3有：M=10^4，c=10000/ln（10000）=1085，s=1085*（1085/ln（4*1085）-1）-1=139467

---

作者: ysr    时间: 2021-12-24 22:05


10^9 的哥猜素数对大约为 ？
由公式3得：
M=31622
C=31622/ln（31622）=3051.
s=3051*（3051/ln（4*3051）-1）-1=986222.

回复您的点评：“10^9的哥猜数对意识2247845. 误差（0.012....） 你的计算相差太远！”
前面已经说过了：这是下限公式，低于实际的。由于实际是波动式上升的，甚至有的远远低于实际。谢谢！

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作者: ysr    时间: 2021-12-24 22:09
10^10 的哥猜素数对大约为 ？
由公式3得：
M=10^5.
C=100000/ln（100000）=8685.
s=8685*（8685/ln（4*8685）-1）-1=7205523.

---

作者: ysr    时间: 2021-12-24 22:12

蔡家雄 发表于 2021-12-24 13:50
偶数越大，哥猜素数对就越大！！！

ysr 兄：用你的估计公式，

10^8 的哥猜素数对大约为 ？答：至少139467.

10^9 的哥猜素数对大约为 ？答：至少986222.

10^10 的哥猜素数对大约为 ？答：至少7205523.

---

作者: 蔡家雄    时间: 2021-12-27 05:58
但，大于6，小于一百，就有多个偶数：不成立！小于一万，就会有更多个偶数：不成立！！

这些不成立的偶数，都不满足：6m＝素数(2m+p1)+素数(2m+p2) 均有解。

王兄：你可以用程序计算小于等于一万，有哪些偶数是成立的蔡氏偶数？

程序显示：2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

---

作者: 蔡家雄    时间: 2021-12-27 13:09
6*8=2*3*8=48，但 48 不是蔡氏偶数，

---

作者: 蔡家雄    时间: 2021-12-27 13:31
6 <2m <= 10000 有(         )个蔡氏偶数？

程序显示：2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

10000 <2m <= 20000 有(         )个蔡氏偶数？

20000 <2m <= 30000 有(         )个蔡氏偶数？

---

作者: ysr    时间: 2021-12-28 01:10

蔡家雄 发表于 2021-12-27 05:31
6

有717组蔡氏偶数2m=8p111p2=-3p3=19p45
2m=12p119p2=-7p3=31p45
2m=42p189p2=-47p3=131p4-5
2m=54p1127p2=-73p3=181p4-19
2m=66p1163p2=-97p3=229p4-31
2m=114p1307p2=-193p3=421p4-79
2m=354p11097p2=-743p3=1451p4-389
2m=714p12467p2=-1753p3=3181p4-1039
2m=768p12699p2=-1931p3=3467p4-1163
2m=828p12939p2=-2111p3=3767p4-1283
2m=882p13191p2=-2309p3=4073p4-1427
2m=1020p13739p2=-2719p3=4759p4-1699
2m=1080p14007p2=-2927p3=5087p4-1847
2m=1140p14259p2=-3119p3=5399p4-1979
2m=1260p14793p2=-3533p3=6053p4-2273
2m=1440p15573p2=-4133p3=7013p4-2693
……




2m=5986p130367p2=-24381p3=36353p4-18395
2m=6000p130469p2=-24469p3=36469p4-18469
2m=6012p130539p2=-24527p3=36551p4-18515
2m=6014p130557p2=-24543p3=36571p4-18529
2m=6032p130677p2=-24645p3=36709p4-18613
2m=6032p130689p2=-24657p3=36721p4-18625
2m=6040p130727p2=-24687p3=36767p4-18647
2m=6058p130841p2=-24783p3=36899p4-18725
2m=6060p130853p2=-24793p3=36913p4-18733
2m=6060p130859p2=-24799p3=36919p4-18739
2m=6060p130869p2=-24809p3=36929p4-18749
2m=6060p130871p2=-24811p3=36931p4-18751
2m=6066p130931p2=-24865p3=36997p4-18799
2m=6066p130937p2=-24871p3=37003p4-18805
2m=6072p130977p2=-24905p3=37049p4-18833
2m=6074p131013p2=-24939p3=37087p4-18865
2m=6078p131039p2=-24961p3=37117p4-18883
2m=6096p131147p2=-25051p3=37243p4-18955
2m=6114p131223p2=-25109p3=37337p4-18995
2m=6120p131249p2=-25129p3=37369p4-19009
2m=6126p131271p2=-25145p3=37397p4-19019
2m=6146p131391p2=-25245p3=37537p4-19099
2m=6150p131469p2=-25319p3=37619p4-19169
2m=6152p131481p2=-25329p3=37633p4-19177
2m=6160p131531p2=-25371p3=37691p4-19211
2m=6174p131607p2=-25433p3=37781p4-19259
2m=6200p131751p2=-25551p3=37951p4-19351
2m=6204p131793p2=-25589p3=37997p4-19385
2m=6242p132057p2=-25815p3=38299p4-19573
2m=6250p132083p2=-25833p3=38333p4-19583
2m=6252p132099p2=-25847p3=38351p4-19595
2m=6264p132183p2=-25919p3=38447p4-19655
2m=6264p132189p2=-25925p3=38453p4-19661
2m=6288p132321p2=-26033p3=38609p4-19745
2m=6288p132323p2=-26035p3=38611p4-19747
2m=6294p132359p2=-26065p3=38653p4-19771
2m=6298p132371p2=-26073p3=38669p4-19775
2m=6316p132467p2=-26151p3=38783p4-19835
2m=6328p132533p2=-26205p3=38861p4-19877
2m=6330p132561p2=-26231p3=38891p4-19901
2m=6354p132687p2=-26333p3=39041p4-19979
2m=6354p132693p2=-26339p3=39047p4-19985
2m=6360p132719p2=-26359p3=39079p4-19999
2m=6362p132771p2=-26409p3=39133p4-20047
2m=6376p132833p2=-26457p3=39209p4-20081
2m=6384p132909p2=-26525p3=39293p4-20141
2m=6400p132983p2=-26583p3=39383p4-20183
2m=6406p133013p2=-26607p3=39419p4-20201
2m=6412p133049p2=-26637p3=39461p4-20225
2m=6420p133091p2=-26671p3=39511p4-20251
2m=6444p133223p2=-26779p3=39667p4-20335
2m=6446p133287p2=-26841p3=39733p4-20395
2m=6448p133301p2=-26853p3=39749p4-20405
2m=6456p133343p2=-26887p3=39799p4-20431
2m=6462p133359p2=-26897p3=39821p4-20435
2m=6462p133377p2=-26915p3=39839p4-20453
2m=6472p133457p2=-26985p3=39929p4-20513
2m=6490p133547p2=-27057p3=40037p4-20567
2m=6510p133619p2=-27109p3=40129p4-20599
2m=6514p133637p2=-27123p3=40151p4-20609
2m=6516p133647p2=-27131p3=40163p4-20615
2m=6542p133809p2=-27267p3=40351p4-20725
2m=6560p133911p2=-27351p3=40471p4-20791
2m=6560p133923p2=-27363p3=40483p4-20803
2m=6562p133937p2=-27375p3=40499p4-20813
2m=6624p134303p2=-27679p3=40927p4-21055
2m=6666p134513p2=-27847p3=41179p4-21181
2m=6670p134543p2=-27873p3=41213p4-21203
2m=6674p134589p2=-27915p3=41263p4-21241
2m=6684p134649p2=-27965p3=41333p4-21281
2m=6694p134693p2=-27999p3=41387p4-21305
2m=6710p134781p2=-28071p3=41491p4-21361
2m=6722p134871p2=-28149p3=41593p4-21427
2m=6728p134913p2=-28185p3=41641p4-21457
2m=6728p134919p2=-28191p3=41647p4-21463
2m=6738p135023p2=-28285p3=41761p4-21547
2m=6756p135107p2=-28351p3=41863p4-21595
2m=6762p135141p2=-28379p3=41903p4-21617
2m=6762p135149p2=-28387p3=41911p4-21625
2m=6768p135201p2=-28433p3=41969p4-21665
2m=6772p135251p2=-28479p3=42023p4-21707
2m=6780p135291p2=-28511p3=42071p4-21731
2m=6802p135419p2=-28617p3=42221p4-21815
2m=6808p135449p2=-28641p3=42257p4-21833
2m=6814p135509p2=-28695p3=42323p4-21881
2m=6818p135531p2=-28713p3=42349p4-21895
2m=6834p135603p2=-28769p3=42437p4-21935
2m=6834p135617p2=-28783p3=42451p4-21949
2m=6840p135731p2=-28891p3=42571p4-22051
2m=6864p135863p2=-28999p3=42727p4-22135
2m=6874p135923p2=-29049p3=42797p4-22175
2m=6878p135963p2=-29085p3=42841p4-22207
2m=6890p136011p2=-29121p3=42901p4-22231
2m=6906p136107p2=-29201p3=43013p4-22295
2m=6912p136151p2=-29239p3=43063p4-22327
2m=6922p136229p2=-29307p3=43151p4-22385
2m=6926p136263p2=-29337p3=43189p4-22411
2m=6930p136293p2=-29363p3=43223p4-22433
2m=6940p136343p2=-29403p3=43283p4-22463
2m=6970p136529p2=-29559p3=43499p4-22589
2m=6990p136637p2=-29647p3=43627p4-22657
2m=6990p136643p2=-29653p3=43633p4-22663
2m=7002p136709p2=-29707p3=43711p4-22705
2m=7014p136779p2=-29765p3=43793p4-22751
2m=7044p136919p2=-29875p3=43963p4-22831
2m=7054p136973p2=-29919p3=44027p4-22865
2m=7056p136997p2=-29941p3=44053p4-22885
2m=7056p137003p2=-29947p3=44059p4-22891
2m=7062p137039p2=-29977p3=44101p4-22915
2m=7062p137049p2=-29987p3=44111p4-22925
2m=7062p137057p2=-29995p3=44119p4-22933
2m=7062p137061p2=-29999p3=44123p4-22937
2m=7076p137181p2=-30105p3=44257p4-23029
2m=7080p137201p2=-30121p3=44281p4-23041
2m=7112p137379p2=-30267p3=44491p4-23155
2m=7128p137493p2=-30365p3=44621p4-23237
2m=7134p137517p2=-30383p3=44651p4-23249
2m=7144p137567p2=-30423p3=44711p4-23279
2m=7178p137781p2=-30603p3=44959p4-23425
2m=7192p137861p2=-30669p3=45053p4-23477
2m=7204p137957p2=-30753p3=45161p4-23549
2m=7224p138069p2=-30845p3=45293p4-23621
2m=7224p138083p2=-30859p3=45307p4-23635
2m=7224p138113p2=-30889p3=45337p4-23665
2m=7224p138119p2=-30895p3=45343p4-23671
2m=7236p138197p2=-30961p3=45433p4-23725
2m=7254p138299p2=-31045p3=45553p4-23791
2m=7254p138303p2=-31049p3=45557p4-23795
2m=7260p138329p2=-31069p3=45589p4-23809
2m=7262p138351p2=-31089p3=45613p4-23827
2m=7264p138377p2=-31113p3=45641p4-23849
2m=7266p138431p2=-31165p3=45697p4-23899
2m=7278p138543p2=-31265p3=45821p4-23987
2m=7280p138561p2=-31281p3=45841p4-24001
2m=7314p138713p2=-31399p3=46027p4-24085
2m=7324p138767p2=-31443p3=46091p4-24119
2m=7336p138851p2=-31515p3=46187p4-24179
2m=7350p138923p2=-31573p3=46273p4-24223
2m=7356p138971p2=-31615p3=46327p4-24259
2m=7358p138993p2=-31635p3=46351p4-24277
2m=7368p139079p2=-31711p3=46447p4-24343
2m=7368p139089p2=-31721p3=46457p4-24353
2m=7378p139133p2=-31755p3=46511p4-24377
2m=7386p139181p2=-31795p3=46567p4-24409
2m=7400p139239p2=-31839p3=46639p4-24439
2m=7410p139317p2=-31907p3=46727p4-24497
2m=7414p139343p2=-31929p3=46757p4-24515
2m=7480p139727p2=-32247p3=47207p4-24767
2m=7500p139839p2=-32339p3=47339p4-24839
2m=7510p139877p2=-32367p3=47387p4-24857
2m=7542p140087p2=-32545p3=47629p4-25003
2m=7546p140111p2=-32565p3=47657p4-25019
2m=7560p140177p2=-32617p3=47737p4-25057
2m=7564p140213p2=-32649p3=47777p4-25085
2m=7568p140241p2=-32673p3=47809p4-25105
2m=7614p140543p2=-32929p3=48157p4-25315
2m=7616p140577p2=-32961p3=48193p4-25345
2m=7644p140763p2=-33119p3=48407p4-25475
2m=7648p140801p2=-33153p3=48449p4-25505
2m=7656p140841p2=-33185p3=48497p4-25529
2m=7684p140993p2=-33309p3=48677p4-25625
2m=7700p141081p2=-33381p3=48781p4-25681
2m=7706p141141p2=-33435p3=48847p4-25729
2m=7708p141149p2=-33441p3=48857p4-25733
2m=7708p141161p2=-33453p3=48869p4-25745
2m=7710p141179p2=-33469p3=48889p4-25759
2m=7734p141269p2=-33535p3=49003p4-25801
2m=7740p141341p2=-33601p3=49081p4-25861
2m=7756p141443p2=-33687p3=49199p4-25931
2m=7762p141491p2=-33729p3=49253p4-25967
2m=7764p141513p2=-33749p3=49277p4-25985
2m=7768p141539p2=-33771p3=49307p4-26003
2m=7774p141593p2=-33819p3=49367p4-26045
2m=7780p141611p2=-33831p3=49391p4-26051
2m=7784p141627p2=-33843p3=49411p4-26059
2m=7786p141647p2=-33861p3=49433p4-26075
2m=7790p141669p2=-33879p3=49459p4-26089
2m=7800p141759p2=-33959p3=49559p4-26159
2m=7814p141849p2=-34035p3=49663p4-26221
2m=7818p141879p2=-34061p3=49697p4-26243
2m=7824p141903p2=-34079p3=49727p4-26255
2m=7838p141969p2=-34131p3=49807p4-26293
2m=7840p141983p2=-34143p3=49823p4-26303
2m=7848p142023p2=-34175p3=49871p4-26327
2m=7848p142043p2=-34195p3=49891p4-26347
2m=7850p142071p2=-34221p3=49921p4-26371
2m=7854p142089p2=-34235p3=49943p4-26381
2m=7866p142181p2=-34315p3=50047p4-26449
2m=7866p142187p2=-34321p3=50053p4-26455
2m=7872p142221p2=-34349p3=50093p4-26477
2m=7874p142227p2=-34353p3=50101p4-26479
2m=7878p142281p2=-34403p3=50159p4-26525
2m=7890p142337p2=-34447p3=50227p4-26557
2m=7904p142407p2=-34503p3=50311p4-26599
2m=7912p142451p2=-34539p3=50363p4-26627
2m=7934p142569p2=-34635p3=50503p4-26701
2m=7936p142577p2=-34641p3=50513p4-26705
2m=7938p142611p2=-34673p3=50549p4-26735
2m=7942p142649p2=-34707p3=50591p4-26765
2m=7950p142697p2=-34747p3=50647p4-26797
2m=7950p142701p2=-34751p3=50651p4-26801
2m=7956p142727p2=-34771p3=50683p4-26815
2m=7966p142787p2=-34821p3=50753p4-26855
2m=7980p142859p2=-34879p3=50839p4-26899
2m=7986p142923p2=-34937p3=50909p4-26951
2m=8000p142989p2=-34989p3=50989p4-26989
2m=8006p143037p2=-35031p3=51043p4-27025
2m=8008p143051p2=-35043p3=51059p4-27035
2m=8008p143063p2=-35055p3=51071p4-27047
2m=8014p143117p2=-35103p3=51131p4-27089
2m=8020p143177p2=-35157p3=51197p4-27137
2m=8046p143391p2=-35345p3=51437p4-27299
2m=8054p143427p2=-35373p3=51481p4-27319
2m=8064p143499p2=-35435p3=51563p4-27371
2m=8064p143517p2=-35453p3=51581p4-27389
2m=8070p143577p2=-35507p3=51647p4-27437
2m=8076p143607p2=-35531p3=51683p4-27455
2m=8078p143613p2=-35535p3=51691p4-27457
2m=8080p143633p2=-35553p3=51713p4-27473
2m=8106p143787p2=-35681p3=51893p4-27575
2m=8118p143891p2=-35773p3=52009p4-27655
2m=8134p143987p2=-35853p3=52121p4-27719
2m=8148p144053p2=-35905p3=52201p4-27757
2m=8174p144189p2=-36015p3=52363p4-27841
2m=8176p144203p2=-36027p3=52379p4-27851
2m=8186p144267p2=-36081p3=52453p4-27895
2m=8200p144371p2=-36171p3=52571p4-27971
2m=8220p144507p2=-36287p3=52727p4-28067
2m=8224p144533p2=-36309p3=52757p4-28085
2m=8226p144543p2=-36317p3=52769p4-28091
2m=8238p144623p2=-36385p3=52861p4-28147
2m=8242p144647p2=-36405p3=52889p4-28163
2m=8244p144657p2=-36413p3=52901p4-28169
2m=8250p144701p2=-36451p3=52951p4-28201
2m=8252p144729p2=-36477p3=52981p4-28225
2m=8262p144789p2=-36527p3=53051p4-28265
2m=8270p144843p2=-36573p3=53113p4-28303
2m=8278p144893p2=-36615p3=53171p4-28337
2m=8280p144917p2=-36637p3=53197p4-28357
2m=8294p144987p2=-36693p3=53281p4-28399
2m=8296p145013p2=-36717p3=53309p4-28421
2m=8298p145061p2=-36763p3=53359p4-28465
2m=8330p145263p2=-36933p3=53593p4-28603
2m=8330p145281p2=-36951p3=53611p4-28621
2m=8336p145317p2=-36981p3=53653p4-28645
2m=8356p145427p2=-37071p3=53783p4-28715
2m=8364p145497p2=-37133p3=53861p4-28769
2m=8390p145659p2=-37269p3=54049p4-28879
2m=8402p145737p2=-37335p3=54139p4-28933
2m=8424p145853p2=-37429p3=54277p4-29005
2m=8424p145863p2=-37439p3=54287p4-29015
2m=8424p145869p2=-37445p3=54293p4-29021
2m=8424p145887p2=-37463p3=54311p4-29039
2m=8428p145949p2=-37521p3=54377p4-29093
2m=8432p145971p2=-37539p3=54403p4-29107
2m=8442p146051p2=-37609p3=54493p4-29167
2m=8442p146061p2=-37619p3=54503p4-29177
2m=8446p146093p2=-37647p3=54539p4-29201
2m=8450p146133p2=-37683p3=54583p4-29233
2m=8524p146549p2=-38025p3=55073p4-29501
2m=8538p146633p2=-38095p3=55171p4-29557
2m=8544p146663p2=-38119p3=55207p4-29575
2m=8564p146769p2=-38205p3=55333p4-29641
2m=8566p146807p2=-38241p3=55373p4-29675
2m=8578p146861p2=-38283p3=55439p4-29705
2m=8580p146877p2=-38297p3=55457p4-29717
2m=8580p146889p2=-38309p3=55469p4-29729
2m=8582p146919p2=-38337p3=55501p4-29755
2m=8584p146957p2=-38373p3=55541p4-29789
2m=8590p147041p2=-38451p3=55631p4-29861
2m=8598p147093p2=-38495p3=55691p4-29897
2m=8604p147129p2=-38525p3=55733p4-29921
2m=8616p147207p2=-38591p3=55823p4-29975
2m=8616p147221p2=-38605p3=55837p4-29989
2m=8620p147269p2=-38649p3=55889p4-30029
2m=8628p147303p2=-38675p3=55931p4-30047
2m=8646p147407p2=-38761p3=56053p4-30115
2m=8650p147431p2=-38781p3=56081p4-30131
2m=8660p147507p2=-38847p3=56167p4-30187
2m=8676p147591p2=-38915p3=56267p4-30239
2m=8682p147629p2=-38947p3=56311p4-30265
2m=8700p147717p2=-39017p3=56417p4-30317
2m=8700p147737p2=-39037p3=56437p4-30337
2m=8712p147807p2=-39095p3=56519p4-30383
2m=8714p147819p2=-39105p3=56533p4-30391
2m=8730p147933p2=-39203p3=56663p4-30473
2m=8766p148157p2=-39391p3=56923p4-30625
2m=8766p148163p2=-39397p3=56929p4-30631
2m=8770p148193p2=-39423p3=56963p4-30653
2m=8772p148221p2=-39449p3=56993p4-30677
2m=8790p148341p2=-39551p3=57131p4-30761
2m=8790p148353p2=-39563p3=57143p4-30773
2m=8794p148397p2=-39603p3=57191p4-30809
2m=8802p148449p2=-39647p3=57251p4-30845
2m=8826p148563p2=-39737p3=57389p4-30911
2m=8826p148571p2=-39745p3=57397p4-30919
2m=8834p148623p2=-39789p3=57457p4-30955
2m=8850p148751p2=-39901p3=57601p4-31051
2m=8868p148821p2=-39953p3=57689p4-31085
2m=8884p148907p2=-40023p3=57791p4-31139
2m=8886p148953p2=-40067p3=57839p4-31181
2m=8886p148973p2=-40087p3=57859p4-31201
2m=8892p149009p2=-40117p3=57901p4-31225
2m=8900p149043p2=-40143p3=57943p4-31243
2m=8910p149117p2=-40207p3=58027p4-31297
2m=8910p149121p2=-40211p3=58031p4-31301
2m=8954p149367p2=-40413p3=58321p4-31459
2m=8960p149409p2=-40449p3=58369p4-31489
2m=8962p149417p2=-40455p3=58379p4-31493
2m=8962p149429p2=-40467p3=58391p4-31505
2m=8972p149481p2=-40509p3=58453p4-31537
2m=9006p149681p2=-40675p3=58687p4-31669
2m=9016p149747p2=-40731p3=58763p4-31715
2m=9036p149853p2=-40817p3=58889p4-31781
2m=9036p149871p2=-40835p3=58907p4-31799
2m=9036p149877p2=-40841p3=58913p4-31805
2m=9048p149943p2=-40895p3=58991p4-31847
2m=9054p149999p2=-40945p3=59053p4-31891
2m=9060p150047p2=-40987p3=59107p4-31927
2m=9080p150129p2=-41049p3=59209p4-31969
2m=9098p150261p2=-41163p3=59359p4-32065
2m=9106p150311p2=-41205p3=59417p4-32099
2m=9110p150333p2=-41223p3=59443p4-32113
2m=9112p150359p2=-41247p3=59471p4-32135
2m=9122p150417p2=-41295p3=59539p4-32173
2m=9130p150497p2=-41367p3=59627p4-32237
2m=9142p150551p2=-41409p3=59693p4-32267
2m=9142p150581p2=-41439p3=59723p4-32297
2m=9142p150587p2=-41445p3=59729p4-32303
2m=9150p150647p2=-41497p3=59797p4-32347
2m=9156p150707p2=-41551p3=59863p4-32395
2m=9156p150723p2=-41567p3=59879p4-32411
2m=9184p150893p2=-41709p3=60077p4-32525
2m=9192p150957p2=-41765p3=60149p4-32573
2m=9192p150969p2=-41777p3=60161p4-32585
2m=9204p151047p2=-41843p3=60251p4-32639
2m=9212p151131p2=-41919p3=60343p4-32707
2m=9254p151347p2=-42093p3=60601p4-32839
2m=9256p151361p2=-42105p3=60617p4-32849
2m=9276p151461p2=-42185p3=60737p4-32909
2m=9278p151479p2=-42201p3=60757p4-32923
2m=9302p151599p2=-42297p3=60901p4-32995
2m=9304p151613p2=-42309p3=60917p4-33005
2m=9306p151637p2=-42331p3=60943p4-33025
2m=9306p151647p2=-42341p3=60953p4-33035
2m=9324p151767p2=-42443p3=61091p4-33119
2m=9362p151971p2=-42609p3=61333p4-33247
2m=9366p151991p2=-42625p3=61357p4-33259
2m=9390p152153p2=-42763p3=61543p4-33373
2m=9390p152163p2=-42773p3=61553p4-33383
2m=9408p152259p2=-42851p3=61667p4-33443
2m=9412p152291p2=-42879p3=61703p4-33467
2m=9426p152387p2=-42961p3=61813p4-33535
2m=9428p152433p2=-43005p3=61861p4-33577
2m=9444p152543p2=-43099p3=61987p4-33655
2m=9464p152667p2=-43203p3=62131p4-33739
2m=9464p152673p2=-43209p3=62137p4-33745
2m=9474p152727p2=-43253p3=62201p4-33779
2m=9474p152733p2=-43259p3=62207p4-33785
2m=9476p152757p2=-43281p3=62233p4-33805
2m=9486p152837p2=-43351p3=62323p4-33865
2m=9494p152889p2=-43395p3=62383p4-33901
2m=9498p152919p2=-43421p3=62417p4-33923
2m=9502p152957p2=-43455p3=62459p4-33953
2m=9516p153047p2=-43531p3=62563p4-34015
2m=9520p153077p2=-43557p3=62597p4-34037
2m=9524p153093p2=-43569p3=62617p4-34045
2m=9526p153113p2=-43587p3=62639p4-34061
2m=9552p153267p2=-43715p3=62819p4-34163
2m=9560p153309p2=-43749p3=62869p4-34189
2m=9574p153407p2=-43833p3=62981p4-34259
2m=9602p153597p2=-43995p3=63199p4-34393
2m=9602p153609p2=-44007p3=63211p4-34405
2m=9618p153681p2=-44063p3=63299p4-34445
2m=9618p153693p2=-44075p3=63311p4-34457
2m=9618p153699p2=-44081p3=63317p4-34463
2m=9622p153731p2=-44109p3=63353p4-34487
2m=9624p153773p2=-44149p3=63397p4-34525
2m=9626p153783p2=-44157p3=63409p4-34531
2m=9632p153831p2=-44199p3=63463p4-34567
2m=9640p153887p2=-44247p3=63527p4-34607
2m=9650p153927p2=-44277p3=63577p4-34627
2m=9650p153939p2=-44289p3=63589p4-34639
2m=9650p153951p2=-44301p3=63601p4-34651
2m=9654p153993p2=-44339p3=63647p4-34685
2m=9656p154011p2=-44355p3=63667p4-34699
2m=9660p154049p2=-44389p3=63709p4-34729
2m=9660p154059p2=-44399p3=63719p4-34739
2m=9660p154083p2=-44423p3=63743p4-34763
2m=9666p154133p2=-44467p3=63799p4-34801
2m=9672p154167p2=-44495p3=63839p4-34823
2m=9672p154181p2=-44509p3=63853p4-34837
2m=9684p154293p2=-44609p3=63977p4-34925
2m=9696p154367p2=-44671p3=64063p4-34975
2m=9696p154371p2=-44675p3=64067p4-34979
2m=9720p154497p2=-44777p3=64217p4-35057
2m=9730p154541p2=-44811p3=64271p4-35081
2m=9738p154581p2=-44843p3=64319p4-35105
2m=9762p154721p2=-44959p3=64483p4-35197
2m=可能不对，明天再调试

---

作者: ysr    时间: 2021-12-28 01:11
出现负数了，可能不对，明天再说，代码如下：
Private Sub Command1_Click()
'研究某数蔡氏素数的程序
Dim a, b
a = Val(Text1)
a1 = a
q = Val(Text2)
m = Val(2)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If
s = 0
Do While m <= q
Do While InStr(fenjieyinzi1(Val(a)), "*") > 0
a = a + 2
Loop
Do While a <= Val(m)
a = Val(a + 2)
Loop
p1 = a
p2 = Val(m - p1)
p3 = Val(p1 + m)
p4 = Val(p2 + m)
Print p1, p2, p3, p4
If InStr(fenjieyinzi1(Val(p1)), "*") = 0 And InStr(fenjieyinzi1(Val(p2)), "*") = 0 And InStr(fenjieyinzi1(Val(p3)), "*") = 0 And InStr(fenjieyinzi1(Val(p4)), "*") = 0 Then
Text3 = Text3 & "2m=" & m & "p1" & p1 & "p2=" & p2 & "p3=" & p3 & "p4" & p4 & vbCrLf
s = s + 1
Else
m = m + 2
End If

a = a + 2

Loop
Combo1 = "有" & s & "组蔡氏偶数" & Text3

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub

---

作者: 蔡家雄    时间: 2021-12-28 06:43
有717组蔡氏偶数2m=8p111p2=-3p3=19p45
2m=12p119p2=-7p3=31p45
2m=42p189p2=-47p3=131p4-5  【出现负数了，可能不对】

2m=8,  p1=3,  p2=5,
漏了2m=10=3+7,      2m=12=5+7,    从12到42之间还漏了几个！！！

---

作者: lusishun    时间: 2021-12-28 07:57
绝对下限，偶数有大有小，哪来的下限。

---

作者: ysr    时间: 2021-12-28 11:14


2m在100内有73组蔡氏偶数2m=8p1=3p2=5p3=11p4=13
2m=8p1=5p2=3p3=13p4=11
2m=10p1=3p2=7p3=13p4=17
2m=10p1=7p2=3p3=17p4=13
2m=12p1=5p2=7p3=17p4=19
2m=12p1=7p2=5p3=19p4=17
2m=16p1=3p2=13p3=19p4=29
2m=16p1=13p2=3p3=29p4=19
2m=18p1=5p2=13p3=23p4=31
2m=18p1=13p2=5p3=31p4=23
2m=20p1=3p2=17p3=23p4=37
2m=20p1=17p2=3p3=37p4=23
2m=24p1=5p2=19p3=29p4=43
2m=24p1=7p2=17p3=31p4=41
2m=24p1=17p2=7p3=41p4=31
2m=24p1=19p2=5p3=43p4=29
2m=30p1=7p2=23p3=37p4=53
2m=30p1=13p2=17p3=43p4=47
2m=30p1=17p2=13p3=47p4=43
2m=30p1=23p2=7p3=53p4=37
2m=34p1=37p2=-3p3=71p4=31
2m=36p1=5p2=31p3=41p4=67
2m=36p1=31p2=5p3=67p4=41
2m=42p1=5p2=37p3=47p4=79
2m=42p1=11p2=31p3=53p4=73
2m=42p1=31p2=11p3=73p4=53
2m=42p1=37p2=5p3=79p4=47
2m=50p1=3p2=47p3=53p4=97
2m=50p1=47p2=3p3=97p4=53
2m=50p1=53p2=-3p3=103p4=47
2m=54p1=7p2=47p3=61p4=101
2m=54p1=47p2=7p3=101p4=61
2m=56p1=3p2=53p3=59p4=109
2m=56p1=53p2=3p3=109p4=59
2m=60p1=7p2=53p3=67p4=113
2m=60p1=13p2=47p3=73p4=107
2m=60p1=19p2=41p3=79p4=101
2m=60p1=23p2=37p3=83p4=97
2m=60p1=37p2=23p3=97p4=83
2m=60p1=41p2=19p3=101p4=79
2m=60p1=47p2=13p3=107p4=73
2m=60p1=53p2=7p3=113p4=67
2m=64p1=67p2=-3p3=131p4=61
2m=66p1=5p2=61p3=71p4=127
2m=66p1=23p2=43p3=89p4=109
2m=66p1=43p2=23p3=109p4=89
2m=66p1=61p2=5p3=127p4=71
2m=70p1=3p2=67p3=73p4=137
2m=70p1=67p2=3p3=137p4=73
2m=72p1=31p2=41p3=103p4=113
2m=72p1=41p2=31p3=113p4=103
2m=76p1=3p2=73p3=79p4=149
2m=76p1=73p2=3p3=149p4=79
2m=78p1=5p2=73p3=83p4=151
2m=78p1=19p2=59p3=97p4=137
2m=78p1=59p2=19p3=137p4=97
2m=78p1=73p2=5p3=151p4=83
2m=84p1=5p2=79p3=89p4=163
2m=84p1=17p2=67p3=101p4=151
2m=84p1=67p2=17p3=151p4=101
2m=84p1=79p2=5p3=163p4=89
2m=90p1=7p2=83p3=97p4=173
2m=90p1=17p2=73p3=107p4=163
2m=90p1=23p2=67p3=113p4=157
2m=90p1=67p2=23p3=157p4=113
2m=90p1=73p2=17p3=163p4=107
2m=90p1=83p2=7p3=173p4=97
2m=96p1=13p2=83p3=109p4=179
2m=96p1=43p2=53p3=139p4=149
2m=96p1=53p2=43p3=149p4=139
2m=96p1=83p2=13p3=179p4=109
2m=100p1=3p2=97p3=103p4=197
2m=100p1=97p2=3p3=197p4=103

---

作者: ysr    时间: 2021-12-28 11:20
p2=2m-p1,p3=2m+p1,p4=2m+p2

---

作者: ysr    时间: 2021-12-28 11:21
代码如下：
Private Sub Command1_Click()
'研究某数蔡氏素数的程序
Dim a, b
a = Val(Text1)
a1 = a
q = Val(Text2)
m = Val(2)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If
s = 0
Do While m <= q
Do While a <= Val(m)
Do While InStr(fenjieyinzi1(Val(a)), "*") > 0
a = a + 2
Loop

p1 = a
p2 = Val(m - p1)
p3 = Val(p1 + m)
p4 = Val(p2 + m)
Print p1, p2, p3, p4
If InStr(fenjieyinzi1(Val(p1)), "*") = 0 And InStr(fenjieyinzi1(Val(p2)), "*") = 0 And InStr(fenjieyinzi1(Val(p3)), "*") = 0 And InStr(fenjieyinzi1(Val(p4)), "*") = 0 Then
Text3 = Text3 & "2m=" & m & "p1=" & p1 & "p2=" & p2 & "p3=" & p3 & "p4=" & p4 & vbCrLf
s = s + 1
Else
m = m
End If

a = a + 2

Loop
m = Val(m + 2)
a = 3
Loop

Combo1 = "有" & s & "组蔡氏偶数" & Text3

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Combo1 = ""
Form1.Cls
End Sub

---

作者: ysr    时间: 2021-12-28 11:25
2m在1000内有1129组蔡氏偶数2m=8p1=3
2m=8p1=5
2m=10p1=3
2m=10p1=7
2m=12p1=5
2m=12p1=7
2m=16p1=3
2m=16p1=13
2m=18p1=5
2m=18p1=13
2m=20p1=3
2m=20p1=17
2m=24p1=5
2m=24p1=7
2m=24p1=17
2m=24p1=19
2m=30p1=7
2m=30p1=13
2m=30p1=17
2m=30p1=23
2m=34p1=37
2m=36p1=5
2m=36p1=31
2m=42p1=5
2m=42p1=11
2m=42p1=31
2m=42p1=37
2m=50p1=3
2m=50p1=47
2m=50p1=53
2m=54p1=7
2m=54p1=47
2m=56p1=3
2m=56p1=53
2m=60p1=7
2m=60p1=13
2m=60p1=19
2m=60p1=23
2m=60p1=37
2m=60p1=41
2m=60p1=47
2m=60p1=53
2m=64p1=67
2m=66p1=5
2m=66p1=23
2m=66p1=43
2m=66p1=61
2m=70p1=3
2m=70p1=67
2m=72p1=31
2m=72p1=41
2m=76p1=3
2m=76p1=73
2m=78p1=5
2m=78p1=19
2m=78p1=59
2m=78p1=73
2m=84p1=5
2m=84p1=17
2m=84p1=67
2m=84p1=79
2m=90p1=7
2m=90p1=17
2m=90p1=23
2m=90p1=67
2m=90p1=73
2m=90p1=83
2m=96p1=13
2m=96p1=43
2m=96p1=53
2m=96p1=83
2m=100p1=3
2m=100p1=97
2m=102p1=5
2m=102p1=97
2m=108p1=5
2m=108p1=19
2m=108p1=89
2m=108p1=103
2m=114p1=17
2m=114p1=97
2m=120p1=7
2m=120p1=11
2m=120p1=17
2m=120p1=47
2m=120p1=59
2m=120p1=61
2m=120p1=73
2m=120p1=103
2m=120p1=109
2m=120p1=113
2m=126p1=13
2m=126p1=23
2m=126p1=53
2m=126p1=73
2m=126p1=103
2m=126p1=113
2m=132p1=31
2m=132p1=101
2m=134p1=137
2m=144p1=5
2m=144p1=7
2m=144p1=37
2m=144p1=47
2m=144p1=97
2m=144p1=107
2m=144p1=137
2m=144p1=139
2m=144p1=149
2m=150p1=23
2m=150p1=43
2m=150p1=61
2m=150p1=89
2m=150p1=107
2m=150p1=127
2m=154p1=157
2m=156p1=43
2m=156p1=73
2m=156p1=83
2m=156p1=113
2m=160p1=3
2m=160p1=157
2m=162p1=11
2m=162p1=31
2m=162p1=61
2m=162p1=101
2m=162p1=131
2m=162p1=151
2m=168p1=5
2m=168p1=29
2m=168p1=59
2m=168p1=109
2m=168p1=139
2m=168p1=163
2m=170p1=3
2m=170p1=167
2m=174p1=17
2m=174p1=37
2m=174p1=67
2m=174p1=107
2m=174p1=137
2m=174p1=157
2m=176p1=3
2m=176p1=173
2m=180p1=13
2m=180p1=43
2m=180p1=53
2m=180p1=83
2m=180p1=97
2m=180p1=127
2m=180p1=137
2m=180p1=167
2m=186p1=5
2m=186p1=13
2m=186p1=173
2m=186p1=181
2m=196p1=3
2m=196p1=193
2m=198p1=59
2m=198p1=139
2m=204p1=7
2m=204p1=197
2m=210p1=19
2m=210p1=31
2m=210p1=47
2m=210p1=53
2m=210p1=61
2m=210p1=71
2m=210p1=73
2m=210p1=83
2m=210p1=103
2m=210p1=107
2m=210p1=127
2m=210p1=137
2m=210p1=139
2m=210p1=149
2m=210p1=157
2m=210p1=163
2m=210p1=179
2m=210p1=191
2m=216p1=23
2m=216p1=53
2m=216p1=163
2m=216p1=193
2m=222p1=11
2m=222p1=71
2m=222p1=151
2m=222p1=211
2m=226p1=3
2m=226p1=223
2m=228p1=89
2m=228p1=139
2m=230p1=3
2m=230p1=227
2m=234p1=5
2m=234p1=7
2m=234p1=37
2m=234p1=197
2m=234p1=227
2m=234p1=229
2m=240p1=17
2m=240p1=41
2m=240p1=113
2m=240p1=127
2m=240p1=199
2m=240p1=223
2m=246p1=5
2m=246p1=241
2m=252p1=41
2m=252p1=61
2m=252p1=191
2m=252p1=211
2m=258p1=59
2m=258p1=199
2m=260p1=263
2m=264p1=7
2m=264p1=67
2m=264p1=197
2m=264p1=257
2m=270p1=37
2m=270p1=41
2m=270p1=79
2m=270p1=97
2m=270p1=131
2m=270p1=139
2m=270p1=173
2m=270p1=191
2m=270p1=229
2m=270p1=233
2m=276p1=5
2m=276p1=103
2m=276p1=113
2m=276p1=163
2m=276p1=173
2m=276p1=271
2m=280p1=3
2m=280p1=277
2m=282p1=101
2m=282p1=181
2m=288p1=5
2m=288p1=19
2m=288p1=109
2m=288p1=179
2m=288p1=269
2m=288p1=283
2m=294p1=17
2m=294p1=127
2m=294p1=167
2m=294p1=277
2m=300p1=7
2m=300p1=31
2m=300p1=37
2m=300p1=59
2m=300p1=101
2m=300p1=109
2m=300p1=191
2m=300p1=199
2m=300p1=241
2m=300p1=263
2m=300p1=269
2m=300p1=293
2m=300p1=307
2m=306p1=43
2m=306p1=113
2m=306p1=193
2m=306p1=263
2m=310p1=3
2m=310p1=307
2m=312p1=5
2m=312p1=61
2m=312p1=251
2m=312p1=307
2m=318p1=79
2m=318p1=239
2m=324p1=7
2m=324p1=317
2m=330p1=17
2m=330p1=19
2m=330p1=53
2m=330p1=59
2m=330p1=67
2m=330p1=89
2m=330p1=103
2m=330p1=137
2m=330p1=157
2m=330p1=173
2m=330p1=193
2m=330p1=227
2m=330p1=241
2m=330p1=263
2m=330p1=271
2m=330p1=277
2m=330p1=311
2m=330p1=313
2m=336p1=53
2m=336p1=73
2m=336p1=103
2m=336p1=163
2m=336p1=173
2m=336p1=233
2m=336p1=263
2m=336p1=283
2m=342p1=11
2m=342p1=31
2m=342p1=311
2m=342p1=331
2m=348p1=109
2m=348p1=239
2m=354p1=47
2m=354p1=307
2m=356p1=3
2m=356p1=353
2m=360p1=29
2m=360p1=79
2m=360p1=89
2m=360p1=103
2m=360p1=127
2m=360p1=149
2m=360p1=163
2m=360p1=197
2m=360p1=211
2m=360p1=233
2m=360p1=257
2m=360p1=271
2m=360p1=281
2m=360p1=331
2m=366p1=13
2m=366p1=73
2m=366p1=293
2m=366p1=353
2m=370p1=373
2m=372p1=61
2m=372p1=131
2m=372p1=241
2m=372p1=311
2m=378p1=5
2m=378p1=109
2m=378p1=179
2m=378p1=199
2m=378p1=269
2m=378p1=373
2m=384p1=17
2m=384p1=107
2m=384p1=277
2m=384p1=367
2m=386p1=3
2m=386p1=383
2m=390p1=7
2m=390p1=11
2m=390p1=41
2m=390p1=53
2m=390p1=97
2m=390p1=167
2m=390p1=179
2m=390p1=211
2m=390p1=223
2m=390p1=293
2m=390p1=337
2m=390p1=349
2m=390p1=379
2m=390p1=383
2m=396p1=23
2m=396p1=83
2m=396p1=173
2m=396p1=223
2m=396p1=313
2m=396p1=373
2m=402p1=191
2m=402p1=211
2m=408p1=59
2m=408p1=139
2m=408p1=269
2m=408p1=349
2m=414p1=5
2m=414p1=17
2m=414p1=397
2m=414p1=409
2m=420p1=11
2m=420p1=19
2m=420p1=67
2m=420p1=71
2m=420p1=83
2m=420p1=89
2m=420p1=149
2m=420p1=157
2m=420p1=179
2m=420p1=181
2m=420p1=193
2m=420p1=197
2m=420p1=223
2m=420p1=227
2m=420p1=239
2m=420p1=241
2m=420p1=263
2m=420p1=271
2m=420p1=331
2m=420p1=337
2m=420p1=349
2m=420p1=353
2m=420p1=401
2m=420p1=409
2m=426p1=193
2m=426p1=233
2m=426p1=431
2m=432p1=11
2m=432p1=181
2m=432p1=251
2m=432p1=421
2m=438p1=19
2m=438p1=419
2m=444p1=5
2m=444p1=127
2m=444p1=317
2m=444p1=439
2m=450p1=17
2m=450p1=41
2m=450p1=71
2m=450p1=113
2m=450p1=157
2m=450p1=167
2m=450p1=181
2m=450p1=223
2m=450p1=227
2m=450p1=269
2m=450p1=283
2m=450p1=293
2m=450p1=337
2m=450p1=379
2m=450p1=409
2m=450p1=433
2m=462p1=5
2m=462p1=41
2m=462p1=61
2m=462p1=151
2m=462p1=181
2m=462p1=191
2m=462p1=271
2m=462p1=281
2m=462p1=311
2m=462p1=401
2m=462p1=421
2m=462p1=457
2m=468p1=79
2m=468p1=109
2m=468p1=359
2m=468p1=389
2m=474p1=127
2m=474p1=347
2m=480p1=19
2m=480p1=23
2m=480p1=41
2m=480p1=83
2m=480p1=97
2m=480p1=107
2m=480p1=163
2m=480p1=173
2m=480p1=307
2m=480p1=317
2m=480p1=373
2m=480p1=383
2m=480p1=397
2m=480p1=439
2m=480p1=457
2m=480p1=461
2m=486p1=113
2m=486p1=373
2m=492p1=31
2m=492p1=241
2m=492p1=251
2m=492p1=461
2m=498p1=59
2m=498p1=89
2m=498p1=109
2m=498p1=389
2m=498p1=409
2m=498p1=439
2m=504p1=17
2m=504p1=37
2m=504p1=197
2m=504p1=307
2m=504p1=467
2m=504p1=487
2m=506p1=3
2m=506p1=503
2m=510p1=11
2m=510p1=53
2m=510p1=67
2m=510p1=109
2m=510p1=137
2m=510p1=163
2m=510p1=199
2m=510p1=233
2m=510p1=277
2m=510p1=311
2m=510p1=347
2m=510p1=373
2m=510p1=401
2m=510p1=443
2m=510p1=457
2m=510p1=499
2m=516p1=223
2m=516p1=293
2m=528p1=79
2m=528p1=89
2m=528p1=149
2m=528p1=379
2m=528p1=439
2m=528p1=449
2m=540p1=17
2m=540p1=31
2m=540p1=61
2m=540p1=151
2m=540p1=193
2m=540p1=257
2m=540p1=269
2m=540p1=271
2m=540p1=283
2m=540p1=347
2m=540p1=389
2m=540p1=479
2m=540p1=509
2m=540p1=523
2m=544p1=547
2m=546p1=23
2m=546p1=163
2m=546p1=173
2m=546p1=263
2m=546p1=283
2m=546p1=373
2m=546p1=383
2m=546p1=523
2m=552p1=11
2m=552p1=541
2m=552p1=557
2m=560p1=3
2m=560p1=557
2m=560p1=563
2m=564p1=97
2m=564p1=467
2m=566p1=3
2m=566p1=563
2m=570p1=23
2m=570p1=47
2m=570p1=71
2m=570p1=107
2m=570p1=131
2m=570p1=149
2m=570p1=173
2m=570p1=257
2m=570p1=313
2m=570p1=397
2m=570p1=421
2m=570p1=439
2m=570p1=463
2m=570p1=499
2m=570p1=523
2m=570p1=547
2m=574p1=577
2m=582p1=11
2m=582p1=61
2m=582p1=151
2m=582p1=431
2m=582p1=521
2m=582p1=571
2m=588p1=89
2m=588p1=199
2m=588p1=239
2m=588p1=349
2m=588p1=389
2m=588p1=499
2m=594p1=7
2m=594p1=37
2m=594p1=557
2m=594p1=587
2m=600p1=7
2m=600p1=13
2m=600p1=109
2m=600p1=139
2m=600p1=151
2m=600p1=263
2m=600p1=337
2m=600p1=449
2m=600p1=461
2m=600p1=491
2m=600p1=587
2m=600p1=593
2m=606p1=103
2m=606p1=163
2m=606p1=443
2m=606p1=503
2m=610p1=3
2m=610p1=607
2m=610p1=613
2m=612p1=71
2m=612p1=211
2m=612p1=401
2m=612p1=541
2m=616p1=3
2m=616p1=613
2m=618p1=139
2m=618p1=239
2m=618p1=269
2m=618p1=349
2m=618p1=379
2m=618p1=479
2m=624p1=17
2m=624p1=67
2m=624p1=257
2m=624p1=367
2m=624p1=557
2m=624p1=607
2m=630p1=11
2m=630p1=23
2m=630p1=29
2m=630p1=31
2m=630p1=43
2m=630p1=89
2m=630p1=109
2m=630p1=131
2m=630p1=167
2m=630p1=191
2m=630p1=197
2m=630p1=199
2m=630p1=229
2m=630p1=251
2m=630p1=277
2m=630p1=353
2m=630p1=379
2m=630p1=401
2m=630p1=431
2m=630p1=433
2m=630p1=439
2m=630p1=463
2m=630p1=499
2m=630p1=521
2m=630p1=541
2m=630p1=587
2m=630p1=599
2m=630p1=601
2m=630p1=607
2m=630p1=619
2m=636p1=23
2m=636p1=613
2m=636p1=641
2m=642p1=181
2m=642p1=461
2m=648p1=5
2m=648p1=79
2m=648p1=569
2m=648p1=643
2m=650p1=3
2m=650p1=647
2m=650p1=653
2m=654p1=7
2m=654p1=107
2m=654p1=257
2m=654p1=317
2m=654p1=337
2m=654p1=397
2m=654p1=547
2m=654p1=647
2m=660p1=13
2m=660p1=17
2m=660p1=41
2m=660p1=83
2m=660p1=97
2m=660p1=197
2m=660p1=227
2m=660p1=251
2m=660p1=281
2m=660p1=307
2m=660p1=311
2m=660p1=349
2m=660p1=353
2m=660p1=379
2m=660p1=409
2m=660p1=433
2m=660p1=463
2m=660p1=563
2m=660p1=577
2m=660p1=619
2m=660p1=643
2m=660p1=647
2m=666p1=53
2m=666p1=73
2m=666p1=103
2m=666p1=563
2m=666p1=593
2m=666p1=613
2m=672p1=151
2m=672p1=181
2m=672p1=491
2m=672p1=521
2m=678p1=79
2m=678p1=269
2m=678p1=409
2m=678p1=599
2m=684p1=7
2m=684p1=67
2m=684p1=137
2m=684p1=197
2m=684p1=337
2m=684p1=347
2m=684p1=487
2m=684p1=547
2m=684p1=617
2m=684p1=677
2m=690p1=83
2m=690p1=97
2m=690p1=149
2m=690p1=167
2m=690p1=229
2m=690p1=251
2m=690p1=257
2m=690p1=293
2m=690p1=331
2m=690p1=359
2m=690p1=397
2m=690p1=433
2m=690p1=439
2m=690p1=461
2m=690p1=523
2m=690p1=541
2m=690p1=593
2m=690p1=607
2m=702p1=181
2m=702p1=281
2m=702p1=421
2m=702p1=521
2m=708p1=89
2m=708p1=199
2m=708p1=229
2m=708p1=479
2m=708p1=509
2m=708p1=619
2m=714p1=5
2m=714p1=107
2m=714p1=227
2m=714p1=257
2m=714p1=457
2m=714p1=487
2m=714p1=607
2m=714p1=709
2m=714p1=719
2m=720p1=67
2m=720p1=157
2m=720p1=163
2m=720p1=277
2m=720p1=311
2m=720p1=331
2m=720p1=389
2m=720p1=409
2m=720p1=443
2m=720p1=557
2m=720p1=563
2m=720p1=653
2m=726p1=43
2m=726p1=683
2m=732p1=41
2m=732p1=691
2m=738p1=5
2m=738p1=239
2m=738p1=359
2m=738p1=379
2m=738p1=499
2m=738p1=733
2m=744p1=17
2m=744p1=167
2m=744p1=197
2m=744p1=547
2m=744p1=577
2m=744p1=727
2m=750p1=7
2m=750p1=11
2m=750p1=73
2m=750p1=179
2m=750p1=241
2m=750p1=263
2m=750p1=271
2m=750p1=283
2m=750p1=467
2m=750p1=479
2m=750p1=487
2m=750p1=509
2m=750p1=571
2m=750p1=677
2m=750p1=739
2m=750p1=743
2m=754p1=757
2m=756p1=13
2m=756p1=73
2m=756p1=83
2m=756p1=103
2m=756p1=653
2m=756p1=673
2m=756p1=683
2m=756p1=743
2m=762p1=101
2m=762p1=331
2m=762p1=431
2m=762p1=661
2m=768p1=109
2m=768p1=349
2m=768p1=419
2m=768p1=659
2m=774p1=167
2m=774p1=317
2m=774p1=457
2m=774p1=607
2m=780p1=7
2m=780p1=29
2m=780p1=79
2m=780p1=107
2m=780p1=127
2m=780p1=233
2m=780p1=239
2m=780p1=271
2m=780p1=281
2m=780p1=337
2m=780p1=443
2m=780p1=499
2m=780p1=509
2m=780p1=541
2m=780p1=547
2m=780p1=653
2m=780p1=673
2m=780p1=701
2m=780p1=751
2m=780p1=773
2m=780p1=787
2m=786p1=283
2m=786p1=503
2m=792p1=5
2m=792p1=31
2m=792p1=761
2m=792p1=787
2m=798p1=29
2m=798p1=769
2m=804p1=7
2m=804p1=227
2m=804p1=577
2m=804p1=797
2m=810p1=13
2m=810p1=53
2m=810p1=67
2m=810p1=71
2m=810p1=109
2m=810p1=127
2m=810p1=137
2m=810p1=167
2m=810p1=211
2m=810p1=239
2m=810p1=571
2m=810p1=599
2m=810p1=643
2m=810p1=673
2m=810p1=683
2m=810p1=701
2m=810p1=739
2m=810p1=743
2m=810p1=757
2m=810p1=797
2m=816p1=5
2m=816p1=223
2m=816p1=313
2m=816p1=503
2m=816p1=593
2m=816p1=811
2m=816p1=821
2m=822p1=61
2m=822p1=191
2m=822p1=631
2m=822p1=761
2m=828p1=59
2m=828p1=769
2m=834p1=5
2m=834p1=47
2m=834p1=157
2m=834p1=347
2m=834p1=367
2m=834p1=467
2m=834p1=487
2m=834p1=677
2m=834p1=787
2m=834p1=829
2m=840p1=13
2m=840p1=17
2m=840p1=43
2m=840p1=67
2m=840p1=71
2m=840p1=79
2m=840p1=97
2m=840p1=101
2m=840p1=113
2m=840p1=131
2m=840p1=157
2m=840p1=181
2m=840p1=193
2m=840p1=199
2m=840p1=353
2m=840p1=373
2m=840p1=383
2m=840p1=397
2m=840p1=443
2m=840p1=457
2m=840p1=467
2m=840p1=487
2m=840p1=641
2m=840p1=647
2m=840p1=659
2m=840p1=683
2m=840p1=709
2m=840p1=727
2m=840p1=739
2m=840p1=743
2m=840p1=761
2m=840p1=769
2m=840p1=773
2m=840p1=797
2m=840p1=823
2m=840p1=827
2m=846p1=73
2m=846p1=193
2m=846p1=283
2m=846p1=563
2m=846p1=653
2m=846p1=773
2m=846p1=853
2m=852p1=211
2m=852p1=251
2m=852p1=601
2m=852p1=641
2m=856p1=3
2m=856p1=853
2m=858p1=19
2m=858p1=89
2m=858p1=419
2m=858p1=439
2m=858p1=769
2m=858p1=839
2m=864p1=107
2m=864p1=757
2m=870p1=7
2m=870p1=17
2m=870p1=41
2m=870p1=83
2m=870p1=113
2m=870p1=127
2m=870p1=293
2m=870p1=367
2m=870p1=379
2m=870p1=421
2m=870p1=449
2m=870p1=491
2m=870p1=503
2m=870p1=577
2m=870p1=743
2m=870p1=757
2m=870p1=787
2m=870p1=829
2m=870p1=853
2m=870p1=863
2m=870p1=877
2m=876p1=53
2m=876p1=193
2m=876p1=353
2m=876p1=523
2m=876p1=683
2m=876p1=823
2m=882p1=5
2m=882p1=71
2m=882p1=181
2m=882p1=241
2m=882p1=281
2m=882p1=311
2m=882p1=571
2m=882p1=601
2m=882p1=641
2m=882p1=701
2m=882p1=811
2m=882p1=877
2m=888p1=79
2m=888p1=409
2m=888p1=479
2m=888p1=809
2m=894p1=167
2m=894p1=277
2m=894p1=307
2m=894p1=337
2m=894p1=557
2m=894p1=587
2m=894p1=617
2m=894p1=727
2m=894p1=907
2m=900p1=41
2m=900p1=47
2m=900p1=131
2m=900p1=191
2m=900p1=313
2m=900p1=401
2m=900p1=499
2m=900p1=587
2m=900p1=709
2m=900p1=769
2m=900p1=853
2m=900p1=859
2m=906p1=23
2m=906p1=383
2m=906p1=523
2m=906p1=883
2m=912p1=101
2m=912p1=211
2m=912p1=281
2m=912p1=631
2m=912p1=701
2m=912p1=811
2m=918p1=59
2m=918p1=179
2m=918p1=199
2m=918p1=409
2m=918p1=509
2m=918p1=719
2m=918p1=739
2m=918p1=859
2m=924p1=17
2m=924p1=47
2m=924p1=127
2m=924p1=277
2m=924p1=367
2m=924p1=557
2m=924p1=647
2m=924p1=797
2m=924p1=877
2m=924p1=907
2m=930p1=101
2m=930p1=367
2m=930p1=373
2m=930p1=389
2m=930p1=431
2m=930p1=499
2m=930p1=541
2m=930p1=557
2m=930p1=563
2m=930p1=829
2m=936p1=83
2m=936p1=113
2m=936p1=293
2m=936p1=643
2m=936p1=823
2m=936p1=853
2m=942p1=5
2m=942p1=937
2m=948p1=19
2m=948p1=29
2m=948p1=239
2m=948p1=709
2m=948p1=919
2m=948p1=929
2m=954p1=97
2m=954p1=337
2m=954p1=617
2m=954p1=857
2m=960p1=7
2m=960p1=31
2m=960p1=53
2m=960p1=73
2m=960p1=131
2m=960p1=137
2m=960p1=227
2m=960p1=367
2m=960p1=439
2m=960p1=521
2m=960p1=593
2m=960p1=733
2m=960p1=823
2m=960p1=829
2m=960p1=887
2m=960p1=907
2m=960p1=929
2m=960p1=953
2m=966p1=313
2m=966p1=353
2m=966p1=443
2m=966p1=523
2m=966p1=613
2m=966p1=653
2m=972p1=331
2m=972p1=401
2m=972p1=571
2m=972p1=641
2m=974p1=977
2m=984p1=37
2m=984p1=107
2m=984p1=397
2m=984p1=587
2m=984p1=877
2m=984p1=947
2m=990p1=7
2m=990p1=79
2m=990p1=103
2m=990p1=107
2m=990p1=113
2m=990p1=233
2m=990p1=239
2m=990p1=313
2m=990p1=317
2m=990p1=383
2m=990p1=449
2m=990p1=491
2m=990p1=499
2m=990p1=541
2m=990p1=607
2m=990p1=673
2m=990p1=677
2m=990p1=751
2m=990p1=757
2m=990p1=877
2m=990p1=883
2m=990p1=887
2m=990p1=911
2m=990p1=983
2m=996p1=13
2m=996p1=43
2m=996p1=113
2m=996p1=433
2m=996p1=563
2m=996p1=883
2m=996p1=953
2m=996p1=983

---

作者: 蔡家雄    时间: 2021-12-28 11:46
至100能成立的有25个不同的偶数，

最好能统计出不同偶数的个数，占比：25/（100/2）=0.5

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作者: 蔡家雄    时间: 2021-12-28 11:49
至1000 能成立的有（     ）个不同的偶数，

最好能统计出不同偶数的个数，占比：（     ）/（1000/2）= ？

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作者: ysr    时间: 2021-12-28 12:30
10000内有30576组蔡氏偶数2m=8p1=3
2m=8p1=5
2m=10p1=3
2m=10p1=7
2m=12p1=5
2m=12p1=7
2m=16p1=3
2m=16p1=13
2m=18p1=5
2m=18p1=13
2m=20p1=3
2m=20p1=17
2m=24p1=5
2m=24p1=7
2m=24p1=17
2m=24p1=19
2m=30p1=7
2m=30p1=13
2m=30p1=17
2m=30p1=23
2m=34p1=37
2m=36p1=5
2m=36p1=31
2m=42p1=5
2m=42p1=11
2m=42p1=31
2m=42p1=37
2m=50p1=3
2m=50p1=47
2m=50p1=53
2m=54p1=7
2m=54p1=47
2m=56p1=3
2m=56p1=53
2m=60p1=7
2m=60p1=13
2m=60p1=19
2m=60p1=23
2m=60p1=37
2m=60p1=41
2m=60p1=47
2m=60p1=53
2m=64p1=67
2m=66p1=5
2m=66p1=23
2m=66p1=43
2m=66p1=61
2m=70p1=3
2m=70p1=67
2m=72p1=31
2m=72p1=41
2m=76p1=3
2m=76p1=73
2m=78p1=5
2m=78p1=19
2m=78p1=59
2m=78p1=73
2m=84p1=5
2m=84p1=17
2m=84p1=67
2m=84p1=79
2m=90p1=7
2m=90p1=17
2m=90p1=23
2m=90p1=67
2m=90p1=73
2m=90p1=83
2m=96p1=13
2m=96p1=43
2m=96p1=53
2m=96p1=83
2m=100p1=3
2m=100p1=97
2m=102p1=5
2m=102p1=97
2m=108p1=5
2m=108p1=19
2m=108p1=89
2m=108p1=103
2m=114p1=17
2m=114p1=97
2m=120p1=7
2m=120p1=11
2m=120p1=17
2m=120p1=47
2m=120p1=59
2m=120p1=61
2m=120p1=73
2m=120p1=103
2m=120p1=109
2m=120p1=113
2m=126p1=13
2m=126p1=23
2m=126p1=53
2m=126p1=73
2m=126p1=103
2m=126p1=113
2m=132p1=31
2m=132p1=101
2m=134p1=137
2m=144p1=5
2m=144p1=7
2m=144p1=37
2m=144p1=47
2m=144p1=97
2m=144p1=107
2m=144p1=137
2m=144p1=139
2m=144p1=149
2m=150p1=23
2m=150p1=43
2m=150p1=61
2m=150p1=89
2m=150p1=107
2m=150p1=127
2m=154p1=157
2m=156p1=43
2m=156p1=73
2m=156p1=83
2m=156p1=113
2m=160p1=3
2m=160p1=157
2m=162p1=11
2m=162p1=31
2m=162p1=61
2m=162p1=101
2m=162p1=131
2m=162p1=151
2m=168p1=5
2m=168p1=29
2m=168p1=59
2m=168p1=109
2m=168p1=139
2m=168p1=163
2m=170p1=3
2m=170p1=167
2m=174p1=17
2m=174p1=37
2m=174p1=67
2m=174p1=107
2m=174p1=137
2m=174p1=157
2m=176p1=3
2m=176p1=173
2m=180p1=13
2m=180p1=43
2m=180p1=53
2m=180p1=83
2m=180p1=97
2m=180p1=127
2m=180p1=137
2m=180p1=167
2m=186p1=5
2m=186p1=13
2m=186p1=173
2m=186p1=181
2m=196p1=3
2m=196p1=193
2m=198p1=59
2m=198p1=139
2m=204p1=7
2m=204p1=197
2m=210p1=19
2m=210p1=31
2m=210p1=47
2m=210p1=53
2m=210p1=61
2m=210p1=71
2m=210p1=73
2m=210p1=83
2m=210p1=103
2m=210p1=107
2m=210p1=127
2m=210p1=137
2m=210p1=139
2m=210p1=149
2m=210p1=157
2m=210p1=163
2m=210p1=179
2m=210p1=191
2m=216p1=23
2m=216p1=53
2m=216p1=163
2m=216p1=193
2m=222p1=11
2m=222p1=71
2m=222p1=151
2m=222p1=211
2m=226p1=3
2m=226p1=223
2m=228p1=89
2m=228p1=139
2m=230p1=3
2m=230p1=227
2m=234p1=5
2m=234p1=7
2m=234p1=37
2m=234p1=197
2m=234p1=227
2m=234p1=229
2m=240p1=17
2m=240p1=41
2m=240p1=113
2m=240p1=127
2m=240p1=199
2m=240p1=223
2m=246p1=5
2m=246p1=241
2m=252p1=41
2m=252p1=61
2m=252p1=191
2m=252p1=211
2m=258p1=59
2m=258p1=199
2m=260p1=263
2m=264p1=7
2m=264p1=67
2m=264p1=197
2m=264p1=257
2m=270p1=37
2m=270p1=41
2m=270p1=79
2m=270p1=97
2m=270p1=131
2m=270p1=139
2m=270p1=173
2m=270p1=191
2m=270p1=229
2m=270p1=233
2m=276p1=5
2m=276p1=103
2m=276p1=113
2m=276p1=163
2m=276p1=173
2m=276p1=271
2m=280p1=3
2m=280p1=277
2m=282p1=101
2m=282p1=181
2m=288p1=5
2m=288p1=19
2m=288p1=109
2m=288p1=179
2m=288p1=269
2m=288p1=283
2m=294p1=17
2m=294p1=127
2m=294p1=167
2m=294p1=277
2m=300p1=7
2m=300p1=31
2m=300p1=37
2m=300p1=59
2m=300p1=101
2m=300p1=109
2m=300p1=191
2m=300p1=199
2m=300p1=241
2m=300p1=263
2m=300p1=269
2m=300p1=293
2m=300p1=307
2m=306p1=43
2m=306p1=113
2m=306p1=193
2m=306p1=263
2m=310p1=3
2m=310p1=307
2m=312p1=5
2m=312p1=61
2m=312p1=251
2m=312p1=307
2m=318p1=79
2m=318p1=239
2m=324p1=7
2m=324p1=317
2m=330p1=17
2m=330p1=19
2m=330p1=53
2m=330p1=59
2m=330p1=67
2m=330p1=89
2m=330p1=103
2m=330p1=137
2m=330p1=157
2m=330p1=173
2m=330p1=193
2m=330p1=227
2m=330p1=241
2m=330p1=263
2m=330p1=271
2m=330p1=277
2m=330p1=311
2m=330p1=313
2m=336p1=53
2m=336p1=73
2m=336p1=103
2m=336p1=163
2m=336p1=173
2m=336p1=233
2m=336p1=263
2m=336p1=283
2m=342p1=11
2m=342p1=31
2m=342p1=311
2m=342p1=331
2m=348p1=109
2m=348p1=239
2m=354p1=47
2m=354p1=307
2m=356p1=3
2m=356p1=353
2m=360p1=29
2m=360p1=79
2m=360p1=89
2m=360p1=103
2m=360p1=127
2m=360p1=149
2m=360p1=163
2m=360p1=197
2m=360p1=211
2m=360p1=233
2m=360p1=257
2m=360p1=271
2m=360p1=281
2m=360p1=331
2m=366p1=13
2m=366p1=73
2m=366p1=293
2m=366p1=353
2m=370p1=373
2m=372p1=61
2m=372p1=131
2m=372p1=241
2m=372p1=311
2m=378p1=5
2m=378p1=109
2m=378p1=179
2m=378p1=199
2m=378p1=269
2m=378p1=373
2m=384p1=17
2m=384p1=107
2m=384p1=277
2m=384p1=367
2m=386p1=3
2m=386p1=383
2m=390p1=7
2m=390p1=11
2m=390p1=41
2m=390p1=53
2m=390p1=97
2m=390p1=167
2m=390p1=179
2m=390p1=211
2m=390p1=223
2m=390p1=293
2m=390p1=337
2m=390p1=349
2m=390p1=379
2m=390p1=383
2m=396p1=23
2m=396p1=83
2m=396p1=173
2m=396p1=223
2m=396p1=313
2m=396p1=373
2m=402p1=191
2m=402p1=211
2m=408p1=59
2m=408p1=139
2m=408p1=269
2m=408p1=349
2m=414p1=5
2m=414p1=17
2m=414p1=397
2m=414p1=409
2m=420p1=11
2m=420p1=19
2m=420p1=67
2m=420p1=71
2m=420p1=83
2m=420p1=89
2m=420p1=149
2m=420p1=157
2m=420p1=179
2m=420p1=181
2m=420p1=193
2m=420p1=197
2m=420p1=223
2m=420p1=227
2m=420p1=239
2m=420p1=241
2m=420p1=263
2m=420p1=271
2m=420p1=331
2m=420p1=337
2m=420p1=349
2m=420p1=353
2m=420p1=401
2m=420p1=409
2m=426p1=193
2m=426p1=233
2m=426p1=431
2m=432p1=11
2m=432p1=181
2m=432p1=251
2m=432p1=421
2m=438p1=19
2m=438p1=419
2m=444p1=5
2m=444p1=127
2m=444p1=317
2m=444p1=439
2m=450p1=17
2m=450p1=41
2m=450p1=71
2m=450p1=113
2m=450p1=157
2m=450p1=167
2m=450p1=181
2m=450p1=223
2m=450p1=227
2m=450p1=269
2m=450p1=283
2m=450p1=293
2m=450p1=337
2m=450p1=379
2m=450p1=409
2m=450p1=433
2m=462p1=5
2m=462p1=41
2m=462p1=61
2m=462p1=151
2m=462p1=181
2m=462p1=191
2m=462p1=271
2m=462p1=281
2m=462p1=311
2m=462p1=401
2m=462p1=421
2m=462p1=457
2m=468p1=79
2m=468p1=109
2m=468p1=359
2m=468p1=389
2m=474p1=127
2m=474p1=347
2m=480p1=19
2m=480p1=23
2m=480p1=41
2m=480p1=83
2m=480p1=97
2m=480p1=107
2m=480p1=163
2m=480p1=173
2m=480p1=307
2m=480p1=317
2m=480p1=373
2m=480p1=383
2m=480p1=397
2m=480p1=439
2m=480p1=457
2m=480p1=461
2m=486p1=113
2m=486p1=373
2m=492p1=31
2m=492p1=241
2m=492p1=251
2m=492p1=461
2m=498p1=59
2m=498p1=89
2m=498p1=109
2m=498p1=389
2m=498p1=409
2m=498p1=439
2m=504p1=17
2m=504p1=37
2m=504p1=197
2m=504p1=307
2m=504p1=467
2m=504p1=487
2m=506p1=3
2m=506p1=503
2m=510p1=11
2m=510p1=53
2m=510p1=67
2m=510p1=109
2m=510p1=137
2m=510p1=163
2m=510p1=199
2m=510p1=233
2m=510p1=277
2m=510p1=311
2m=510p1=347
2m=510p1=373
2m=510p1=401
2m=510p1=443
2m=510p1=457
2m=510p1=499
2m=516p1=223
2m=516p1=293
2m=528p1=79
2m=528p1=89
2m=528p1=149
2m=528p1=379
2m=528p1=439
2m=528p1=449
2m=540p1=17
2m=540p1=31
2m=540p1=61
2m=540p1=151
2m=540p1=193
2m=540p1=257
2m=540p1=269
2m=540p1=271
2m=540p1=283
2m=540p1=347
2m=540p1=389
2m=540p1=479
2m=540p1=509
2m=540p1=523
2m=544p1=547
2m=546p1=23
2m=546p1=163
2m=546p1=173
2m=546p1=263
2m=546p1=283
2m=546p1=373
2m=546p1=383
2m=546p1=523
2m=552p1=11
2m=552p1=541
2m=552p1=557
2m=560p1=3
2m=560p1=557
2m=560p1=563
2m=564p1=97
2m=564p1=467
2m=566p1=3
2m=566p1=563
2m=570p1=23
2m=570p1=47
2m=570p1=71
2m=570p1=107
2m=570p1=131
2m=570p1=149
2m=570p1=173
2m=570p1=257
2m=570p1=313
2m=570p1=397
2m=570p1=421
2m=570p1=439
2m=570p1=463
2m=570p1=499
2m=570p1=523
2m=570p1=547
2m=574p1=577
2m=582p1=11
2m=582p1=61
2m=582p1=151
2m=582p1=431
2m=582p1=521
2m=582p1=571
2m=588p1=89
2m=588p1=199
2m=588p1=239
2m=588p1=349
2m=588p1=389
2m=588p1=499
2m=594p1=7
2m=594p1=37
2m=594p1=557
2m=594p1=587
2m=600p1=7
2m=600p1=13
2m=600p1=109
2m=600p1=139
2m=600p1=151
2m=600p1=263
2m=600p1=337
2m=600p1=449
2m=600p1=461
2m=600p1=491
2m=600p1=587
2m=600p1=593
2m=606p1=103
2m=606p1=163
2m=606p1=443
2m=606p1=503
2m=610p1=3
2m=610p1=607
2m=610p1=613
2m=612p1=71
2m=612p1=211
2m=612p1=401
2m=612p1=541
2m=616p1=3
2m=616p1=613
2m=618p1=139
2m=618p1=239
2m=618p1=269
2m=618p1=349
2m=618p1=379
2m=618p1=479
2m=624p1=17
2m=624p1=67
2m=624p1=257
2m=624p1=367
2m=624p1=557
2m=624p1=607
2m=630p1=11
2m=630p1=23
2m=630p1=29
2m=630p1=31
2m=630p1=43
2m=630p1=89
2m=630p1=109
2m=630p1=131
2m=630p1=167
2m=630p1=191
2m=630p1=197
2m=630p1=199
2m=630p1=229
2m=630p1=251
2m=630p1=277
2m=630p1=353
2m=630p1=379
2m=630p1=401
2m=630p1=431
2m=630p1=433
2m=630p1=439
2m=630p1=463
2m=630p1=499
2m=630p1=521
2m=630p1=541
2m=630p1=587
2m=630p1=599
2m=630p1=601
2m=630p1=607
2m=630p1=619
2m=636p1=23
2m=636p1=613
2m=636p1=641
2m=642p1=181
2m=642p1=461
2m=648p1=5
2m=648p1=79
2m=648p1=569
2m=648p1=643
2m=650p1=3
2m=650p1=647
2m=650p1=653
2m=654p1=7
2m=654p1=107
2m=654p1=257
2m=654p1=317
2m=654p1=337
2m=654p1=397
2m=654p1=547
2m=654p1=647
2m=660p1=13
2m=660p1=17
2m=660p1=41
2m=660p1=83
2m=660p1=97
2m=660p1=197
2m=660p1=227
2m=660p1=251
2m=660p1=281
2m=660p1=307
2m=660p1=311
2m=660p1=349
2m=660p1=353
2m=660p1=379
2m=660p1=409
2m=660p1=433
2m=660p1=463
2m=660p1=563
2m=660p1=577
2m=660p1=619
2m=660p1=643
2m=660p1=647
2m=666p1=53
2m=666p1=73
2m=666p1=103
2m=666p1=563
2m=666p1=593
2m=666p1=613
2m=672p1=151
2m=672p1=181
2m=672p1=491
2m=672p1=521
2m=678p1=79
2m=678p1=269
2m=678p1=409
2m=678p1=599
2m=684p1=7
2m=684p1=67
2m=684p1=137
2m=684p1=197
2m=684p1=337
2m=684p1=347
2m=684p1=487
2m=684p1=547
2m=684p1=617
2m=684p1=677
2m=690p1=83
2m=690p1=97
2m=690p1=149
2m=690p1=167
2m=690p1=229
2m=690p1=251
2m=690p1=257
2m=690p1=293
2m=690p1=331
2m=690p1=359
2m=690p1=397
2m=690p1=433
2m=690p1=439
2m=690p1=461
2m=690p1=523
2m=690p1=541
2m=690p1=593
2m=690p1=607
2m=702p1=181
2m=702p1=281
2m=702p1=421
2m=702p1=521
2m=708p1=89
2m=708p1=199
2m=708p1=229
2m=708p1=479
2m=708p1=509
2m=708p1=619
2m=714p1=5
2m=714p1=107
2m=714p1=227
2m=714p1=257
2m=714p1=457
2m=714p1=487
2m=714p1=607
2m=714p1=709
2m=714p1=719
2m=720p1=67
2m=720p1=157
2m=720p1=163
2m=720p1=277
2m=720p1=311
2m=720p1=331
2m=720p1=389
2m=720p1=409
2m=720p1=443
2m=720p1=557
2m=720p1=563
2m=720p1=653
2m=726p1=43
2m=726p1=683
2m=732p1=41
2m=732p1=691
2m=738p1=5
2m=738p1=239
2m=738p1=359
2m=738p1=379
2m=738p1=499
2m=738p1=733
2m=744p1=17
2m=744p1=167
2m=744p1=197
2m=744p1=547
2m=744p1=577
2m=744p1=727
2m=750p1=7
2m=750p1=11
2m=750p1=73
2m=750p1=179
2m=750p1=241
2m=750p1=263
2m=750p1=271
2m=750p1=283
2m=750p1=467
2m=750p1=479
2m=750p1=487
2m=750p1=509
2m=750p1=571
2m=750p1=677
2m=750p1=739
2m=750p1=743
2m=754p1=757
2m=756p1=13
2m=756p1=73
2m=756p1=83
2m=756p1=103
2m=756p1=653
2m=756p1=673
2m=756p1=683
2m=756p1=743
2m=762p1=101
2m=762p1=331
2m=762p1=431
2m=762p1=661
2m=768p1=109
2m=768p1=349
2m=768p1=419
2m=768p1=659
2m=774p1=167
2m=774p1=317
2m=774p1=457
2m=774p1=607
2m=780p1=7
2m=780p1=29
2m=780p1=79
2m=780p1=107
2m=780p1=127
2m=780p1=233
2m=780p1=239
2m=780p1=271
2m=780p1=281
2m=780p1=337
2m=780p1=443
2m=780p1=499
2m=780p1=509
2m=780p1=541
2m=780p1=547
2m=780p1=653
2m=780p1=673
2m=780p1=701
2m=780p1=751
2m=780p1=773
2m=780p1=787
2m=786p1=283
2m=786p1=503
2m=792p1=5
2m=792p1=31
2m=792p1=761
2m=792p1=787
2m=798p1=29
2m=798p1=769
2m=804p1=7
2m=804p1=227
2m=804p1=577
2m=804p1=797
2m=810p1=13
2m=810p1=53
2m=810p1=67
2m=810p1=71
2m=810p1=109
2m=810p1=127
2m=810p1=137
2m=810p1=167
2m=810p1=211
2m=810p1=239
2m=810p1=571
2m=810p1=599
2m=810p1=643
2m=810p1=673
2m=810p1=683
2m=810p1=701
2m=810p1=739
2m=810p1=743
2m=810p1=757
2m=810p1=797
2m=816p1=5
2m=816p1=223
2m=816p1=313
2m=816p1=503
2m=816p1=593
2m=816p1=811
2m=816p1=821
2m=822p1=61
2m=822p1=191
2m=822p1=631
2m=822p1=761
2m=828p1=59
2m=828p1=769
2m=834p1=5
2m=834p1=47
2m=834p1=157
2m=834p1=347
2m=834p1=367
2m=834p1=467
2m=834p1=487
2m=834p1=677
2m=834p1=787
2m=834p1=829
2m=840p1=13
2m=840p1=17
2m=840p1=43
2m=840p1=67
2m=840p1=71
2m=840p1=79
2m=840p1=97
2m=840p1=101
2m=840p1=113
2m=840p1=131
2m=840p1=157
2m=840p1=181
2m=840p1=193
2m=840p1=199
2m=840p1=353
2m=840p1=373
2m=840p1=383
2m=840p1=397
2m=840p1=443
2m=840p1=457
2m=840p1=467
2m=840p1=487
2m=840p1=641
2m=840p1=647
2m=840p1=659
2m=840p1=683
2m=840p1=709
2m=840p1=727
2m=840p1=739
2m=840p1=743
2m=840p1=761
2m=840p1=769
2m=840p1=773
2m=840p1=797
2m=840p1=823
2m=840p1=827
2m=846p1=73
2m=846p1=193
2m=846p1=283
2m=846p1=563
2m=846p1=653
2m=846p1=773
2m=846p1=853
2m=852p1=211
2m=852p1=251
2m=852p1=601
2m=852p1=641
2m=856p1=3
2m=856p1=853
2m=858p1=19
2m=858p1=89
2m=858p1=419
2m=858p1=439
2m=858p1=769
2m=858p1=839
2m=864p1=107
2m=864p1=757
2m=870p1=7
2m=870p1=17
2m=870p1=41
2m=870p1=83
2m=870p1=113
2m=870p1=127
2m=870p1=293
2m=870p1=367
2m=870p1=379
2m=870p1=421
2m=870p1=449
2m=870p1=491
2m=870p1=503
2m=870p1=577
2m=870p1=743
2m=870p1=757
2m=870p1=787
2m=870p1=829
2m=870p1=853
2m=870p1=863
2m=870p1=877
2m=876p1=53
2m=876p1=193
2m=876p1=353
2m=876p1=523
2m=876p1=683
2m=876p1=823
2m=882p1=5
2m=882p1=71
2m=882p1=181
2m=882p1=241
2m=882p1=281
2m=882p1=311
2m=882p1=571
2m=882p1=601
2m=882p1=641
2m=882p1=701
2m=882p1=811
2m=882p1=877
2m=888p1=79
2m=888p1=409
2m=888p1=479
2m=888p1=809
2m=894p1=167
2m=894p1=277
2m=894p1=307
2m=894p1=337
2m=894p1=557
2m=894p1=587
2m=894p1=617
2m=894p1=727
2m=894p1=907
2m=900p1=41
2m=900p1=47
2m=900p1=131
2m=900p1=191
2m=900p1=313
2m=900p1=401
2m=900p1=499
2m=900p1=587
2m=900p1=709
2m=900p1=769
2m=900p1=853
2m=900p1=859
2m=906p1=23
2m=906p1=383
2m=906p1=523
2m=906p1=883
2m=912p1=101
2m=912p1=211
2m=912p1=281
2m=912p1=631
2m=912p1=701
2m=912p1=811
2m=918p1=59
2m=918p1=179
2m=918p1=199
2m=918p1=409
2m=918p1=509
2m=918p1=719
2m=918p1=739
2m=918p1=859
2m=924p1=17
2m=924p1=47
2m=924p1=127
2m=924p1=277
2m=924p1=367
2m=924p1=557
2m=924p1=647
2m=924p1=797
2m=924p1=877
2m=924p1=907
2m=930p1=101
2m=930p1=367
2m=930p1=373
2m=930p1=389
2m=930p1=431
2m=930p1=499
2m=930p1=541
2m=930p1=557
2m=930p1=563
2m=930p1=829
2m=936p1=83
2m=936p1=113
2m=936p1=293
2m=936p1=643
2m=936p1=823
2m=936p1=853
2m=942p1=5
2m=942p1=937
2m=948p1=19
2m=948p1=29
2m=948p1=239
2m=948p1=709
2m=948p1=919
2m=948p1=929
2m=954p1=97
2m=954p1=337
2m=954p1=617
2m=954p1=857
2m=960p1=7
2m=960p1=31
2m=960p1=53
2m=960p1=73
2m=960p1=131
2m=960p1=137
2m=960p1=227
2m=960p1=367
2m=960p1=439
2m=960p1=521
2m=960p1=593
2m=960p1=733
2m=960p1=823
2m=960p1=829
2m=960p1=887
2m=960p1=907
2m=960p1=929
2m=960p1=953
2m=966p1=313
2m=966p1=353
2m=966p1=443
2m=966p1=523
2m=966p1=613
2m=966p1=653
2m=972p1=331
2m=972p1=401
2m=972p1=571
2m=972p1=641
2m=974p1=977
2m=984p1=37
2m=984p1=107
2m=984p1=397
2m=984p1=587
2m=984p1=877
2m=984p1=947
2m=990p1=7
2m=990p1=79
2m=990p1=103
2m=990p1=107
2m=990p1=113
2m=990p1=233
2m=990p1=239
2m=990p1=313
2m=990p1=317
2m=990p1=383
2m=990p1=449
2m=990p1=491
2m=990p1=499
2m=990p1=541
2m=990p1=607
2m=990p1=673
2m=990p1=677
2m=990p1=751
2m=990p1=757
2m=990p1=877
2m=990p1=883
2m=990p1=887
2m=990p1=911
2m=990p1=983
2m=996p1=13
2m=996p1=43
2m=996p1=113
2m=996p1=433
2m=996p1=563
2m=996p1=883
2m=996p1=953
2m=996p1=983
2m=1002p1=11
2m=1002p1=31
2m=1002p1=971
2m=1002p1=991
2m=1008p1=269
2m=1008p1=739
2m=1014p1=17
2m=1014p1=157
2m=1014p1=457
2m=1014p1=557
2m=1014p1=857
2m=1014p1=997
2m=1016p1=3
2m=1016p1=1013
2m=1020p1=11
2m=1020p1=29
2m=1020p1=43
2m=1020p1=67
2m=1020p1=109
2m=1020p1=167
2m=1020p1=193
2m=1020p1=263
2m=1020p1=281
2m=1020p1=347
2m=1020p1=419
2m=1020p1=433
2m=1020p1=587
2m=1020p1=601
2m=1020p1=673
2m=1020p1=739
2m=1020p1=757
2m=1020p1=827
2m=1020p1=853
2m=1020p1=911
2m=1020p1=953
2m=1020p1=977
2m=1020p1=991
2m=1020p1=1009
2m=1026p1=13
2m=1026p1=293
2m=1026p1=383
2m=1026p1=433
2m=1026p1=593
2m=1026p1=643
2m=1026p1=733
2m=1026p1=1013
2m=1032p1=61
2m=1032p1=401
2m=1032p1=631
2m=1032p1=971
2m=1036p1=3
2m=1036p1=1033
2m=1038p1=199
2m=1038p1=839
2m=1044p1=5
2m=1044p1=137
2m=1044p1=157
2m=1044p1=257
2m=1044p1=467
2m=1044p1=487
2m=1044p1=557
2m=1044p1=577
2m=1044p1=787
2m=1044p1=887
2m=1044p1=907
2m=1044p1=1039
2m=1050p1=11
2m=1050p1=19
2m=1050p1=37
2m=1050p1=73
2m=1050p1=103
2m=1050p1=113
2m=1050p1=167
2m=1050p1=227
2m=1050p1=229
2m=1050p1=239
2m=1050p1=277
2m=1050p1=311
2m=1050p1=317
2m=1050p1=359
2m=1050p1=431
2m=1050p1=433
2m=1050p1=443
2m=1050p1=503
2m=1050p1=547
2m=1050p1=607
2m=1050p1=617
2m=1050p1=619
2m=1050p1=691
2m=1050p1=733
2m=1050p1=739
2m=1050p1=773
2m=1050p1=811
2m=1050p1=821
2m=1050p1=823
2m=1050p1=883
2m=1050p1=937
2m=1050p1=947
2m=1050p1=977
2m=1050p1=1013
2m=1050p1=1031
2m=1050p1=1039
2m=1056p1=73
2m=1056p1=233
2m=1056p1=443
2m=1056p1=613
2m=1056p1=823
2m=1056p1=983
2m=1062p1=41
2m=1062p1=151
2m=1062p1=431
2m=1062p1=461
2m=1062p1=601
2m=1062p1=631
2m=1062p1=911
2m=1062p1=1021
2m=1066p1=3
2m=1066p1=1063
2m=1068p1=149
2m=1068p1=229
2m=1068p1=359
2m=1068p1=499
2m=1068p1=569
2m=1068p1=709
2m=1068p1=839
2m=1068p1=919
2m=1074p1=1087
2m=1080p1=17
2m=1080p1=29
2m=1080p1=71
2m=1080p1=227
2m=1080p1=293
2m=1080p1=419
2m=1080p1=463
2m=1080p1=503
2m=1080p1=577
2m=1080p1=617
2m=1080p1=661
2m=1080p1=787
2m=1080p1=853
2m=1080p1=1009
2m=1080p1=1051
2m=1080p1=1063
2m=1092p1=5
2m=1092p1=31
2m=1092p1=71
2m=1092p1=101
2m=1092p1=211
2m=1092p1=401
2m=1092p1=431
2m=1092p1=461
2m=1092p1=491
2m=1092p1=521
2m=1092p1=571
2m=1092p1=601
2m=1092p1=631
2m=1092p1=661
2m=1092p1=691
2m=1092p1=881
2m=1092p1=991
2m=1092p1=1021
2m=1092p1=1061
2m=1092p1=1087
2m=1098p1=179
2m=1098p1=499
2m=1098p1=599
2m=1098p1=919
2m=1100p1=1103
2m=1104p1=127
2m=1104p1=197
2m=1104p1=277
2m=1104p1=347
2m=1104p1=757
2m=1104p1=827
2m=1104p1=907
2m=1104p1=977
2m=1110p1=7
2m=1110p1=13
2m=1110p1=41
2m=1110p1=139
2m=1110p1=181
2m=1110p1=191
2m=1110p1=271
2m=1110p1=313
2m=1110p1=349
2m=1110p1=433
2m=1110p1=677
2m=1110p1=761
2m=1110p1=797
2m=1110p1=839
2m=1110p1=919
2m=1110p1=929
2m=1110p1=971
2m=1110p1=1069
2m=1110p1=1097
2m=1110p1=1103
2m=1116p1=163



2m=1530p1=41
2m=1530

---

作者: ysr    时间: 2021-12-28 12:31
有30576组蔡氏偶数2m=8p1=3

2m=1110p1=1103
2m=1116p1=163
2m=1116p1=443
2m=1116p1=673
2m=1116p1=953
2m=1120p1=3
2m=1120p1=1117
2m=1120p1=1123
2m=1122p1=31
2m=1122p1=101
2m=1122p1=181
2m=1122p1=311
2m=1122p1=421
2m=1122p1=461
2m=1122p1=491
2m=1122p1=631
2m=1122p1=661
2m=1122p1=701
2m=1122p1=811
2m=1122p1=941
2m=1122p1=1021
2m=1122p1=1091
2m=1128p1=509
2m=1128p1=619
2m=1134p1=17
2m=1134p1=47
2m=1134p1=157
2m=1134p1=337
2m=1134p1=797
2m=1134p1=977
2m=1134p1=1087
2m=1134p1=1117
2m=1140p1=11
2m=1140p1=149
2m=1140p1=283
2m=1140p1=331
2m=1140p1=457
2m=1140p1=479
2m=1140p1=661
2m=1140p1=683
2m=1140p1=809
2m=1140p1=857
2m=1140p1=991
2m=1140p1=1129
2m=1146p1=113
2m=1146p1=263
2m=1146p1=293
2m=1146p1=853
2m=1146p1=883
2m=1146p1=1033
2m=1152p1=61
2m=1152p1=331
2m=1152p1=821
2m=1152p1=1091
2m=1158p1=5
2m=1158p1=29
2m=1158p1=439
2m=1158p1=449
2m=1158p1=709
2m=1158p1=719
2m=1158p1=1129
2m=1158p1=1153
2m=1164p1=197
2m=1164p1=967
2m=1170p1=47
2m=1170p1=53
2m=1170p1=67
2m=1170p1=137
2m=1170p1=229
2m=1170p1=311
2m=1170p1=313
2m=1170p1=409
2m=1170p1=563
2m=1170p1=607
2m=1170p1=761
2m=1170p1=857
2m=1170p1=859
2m=1170p1=941
2m=1170p1=1033
2m=1170p1=1103
2m=1170p1=1117
2m=1170p1=1123
2m=1176p1=5
2m=1176p1=83
2m=1176p1=113
2m=1176p1=223
2m=1176p1=313
2m=1176p1=863
2m=1176p1=953
2m=1176p1=1063
2m=1176p1=1093
2m=1176p1=1171
2m=1176p1=1181
2m=1182p1=31
2m=1182p1=431
2m=1182p1=541
2m=1182p1=641
2m=1182p1=751
2m=1182p1=1151
2m=1184p1=1187
2m=1188p1=139
2m=1188p1=379
2m=1188p1=809
2m=1188p1=1049
2m=1190p1=3
2m=1190p1=1187
2m=1190p1=1193
2m=1194p1=7
2m=1194p1=107
2m=1194p1=257
2m=1194p1=937
2m=1194p1=1087
2m=1194p1=1187
2m=1200p1=29
2m=1200p1=103
2m=1200p1=107
2m=1200p1=271
2m=1200p1=467
2m=1200p1=499
2m=1200p1=523
2m=1200p1=677
2m=1200p1=701
2m=1200p1=733
2m=1200p1=929
2m=1200p1=1093
2m=1200p1=1097
2m=1200p1=1171
2m=1206p1=463
2m=1206p1=743
2m=1212p1=271
2m=1212p1=941
2m=1218p1=89
2m=1218p1=149
2m=1218p1=409
2m=1218p1=449
2m=1218p1=769
2m=1218p1=809
2m=1218p1=1069
2m=1218p1=1129
2m=1220p1=3
2m=1220p1=1217
2m=1224p1=7
2m=1224p1=137
2m=1224p1=227
2m=1224p1=577
2m=1224p1=647
2m=1224p1=997
2m=1224p1=1087
2m=1224p1=1217
2m=1230p1=67
2m=1230p1=179
2m=1230p1=349
2m=1230p1=433
2m=1230p1=547
2m=1230p1=571
2m=1230p1=659
2m=1230p1=683
2m=1230p1=797
2m=1230p1=881
2m=1230p1=1051
2m=1230p1=1163
2m=1236p1=13
2m=1236p1=83
2m=1236p1=373
2m=1236p1=383
2m=1236p1=853
2m=1236p1=863
2m=1236p1=1153
2m=1236p1=1223
2m=1242p1=61
2m=1242p1=191
2m=1242p1=211
2m=1242p1=421
2m=1242p1=491
2m=1242p1=751
2m=1242p1=821
2m=1242p1=1031
2m=1242p1=1051
2m=1242p1=1181
2m=1248p1=199
2m=1248p1=409
2m=1248p1=839
2m=1248p1=1049
2m=1254p1=5
2m=1254p1=67
2m=1254p1=257
2m=1254p1=347
2m=1254p1=367
2m=1254p1=577
2m=1254p1=607
2m=1254p1=647
2m=1254p1=677
2m=1254p1=887
2m=1254p1=907
2m=1254p1=997
2m=1254p1=1187
2m=1254p1=1249
2m=1260p1=43
2m=1260p1=47
2m=1260p1=163
2m=1260p1=173
2m=1260p1=211
2m=1260p1=227
2m=1260p1=239
2m=1260p1=251
2m=1260p1=283
2m=1260p1=307
2m=1260p1=433
2m=1260p1=439
2m=1260p1=541
2m=1260p1=587
2m=1260p1=607
2m=1260p1=613
2m=1260p1=619
2m=1260p1=641
2m=1260p1=647
2m=1260p1=653
2m=1260p1=673
2m=1260p1=719
2m=1260p1=821
2m=1260p1=827
2m=1260p1=953
2m=1260p1=977
2m=1260p1=1009
2m=1260p1=1021
2m=1260p1=1033
2m=1260p1=1049
2m=1260p1=1087
2m=1260p1=1097
2m=1260p1=1213
2m=1260p1=1217
2m=1266p1=443
2m=1266p1=823
2m=1272p1=211
2m=1272p1=251
2m=1272p1=461
2m=1272p1=811
2m=1272p1=1021
2m=1272p1=1061
2m=1278p1=349
2m=1278p1=419
2m=1278p1=569
2m=1278p1=709
2m=1278p1=859
2m=1278p1=929
2m=1280p1=3
2m=1280p1=1277
2m=1284p1=197
2m=1284p1=317
2m=1284p1=457
2m=1284p1=827
2m=1284p1=967
2m=1284p1=1087
2m=1290p1=31
2m=1290p1=139
2m=1290p1=181
2m=1290p1=197
2m=1290p1=199
2m=1290p1=241
2m=1290p1=269
2m=1290p1=293
2m=1290p1=307
2m=1290p1=337
2m=1290p1=953
2m=1290p1=983
2m=1290p1=997
2m=1290p1=1021
2m=1290p1=1049
2m=1290p1=1091
2m=1290p1=1093
2m=1290p1=1109
2m=1290p1=1151
2m=1290p1=1259
2m=1294p1=1297
2m=1296p1=193
2m=1296p1=283
2m=1296p1=1013
2m=1296p1=1103
2m=1302p1=131
2m=1302p1=311
2m=1302p1=991
2m=1302p1=1171
2m=1308p1=59
2m=1308p1=179
2m=1308p1=479
2m=1308p1=599
2m=1308p1=709
2m=1308p1=829
2m=1308p1=1129
2m=1308p1=1249
2m=1314p1=7
2m=1314p1=487
2m=1314p1=827
2m=1314p1=1307
2m=1320p1=61
2m=1320p1=89
2m=1320p1=167
2m=1320p1=223
2m=1320p1=229
2m=1320p1=251
2m=1320p1=307
2m=1320p1=373
2m=1320p1=401
2m=1320p1=433
2m=1320p1=587
2m=1320p1=733
2m=1320p1=887
2m=1320p1=919
2m=1320p1=947
2m=1320p1=1013
2m=1320p1=1069
2m=1320p1=1091
2m=1320p1=1097
2m=1320p1=1153
2m=1320p1=1231
2m=1320p1=1259
2m=1326p1=103
2m=1326p1=113
2m=1326p1=653
2m=1326p1=673
2m=1326p1=1213
2m=1326p1=1223
2m=1332p1=281
2m=1332p1=421
2m=1332p1=911
2m=1332p1=1051
2m=1332p1=1361
2m=1338p1=229
2m=1338p1=409
2m=1338p1=929
2m=1338p1=1109
2m=1344p1=17
2m=1344p1=467
2m=1344p1=557
2m=1344p1=787
2m=1344p1=877
2m=1344p1=1327
2m=1350p1=23
2m=1350p1=149
2m=1350p1=233
2m=1350p1=263
2m=1350p1=317
2m=1350p1=359
2m=1350p1=521
2m=1350p1=563
2m=1350p1=787
2m=1350p1=829
2m=1350p1=991
2m=1350p1=1033
2m=1350p1=1087
2m=1350p1=1117
2m=1350p1=1201
2m=1350p1=1327
2m=1356p1=53
2m=1356p1=673
2m=1356p1=683
2m=1356p1=1303
2m=1362p1=61
2m=1362p1=131
2m=1362p1=181
2m=1362p1=331
2m=1362p1=1031
2m=1362p1=1181
2m=1362p1=1231
2m=1362p1=1301
2m=1364p1=1367
2m=1368p1=79
2m=1368p1=1289
2m=1374p1=7
2m=1374p1=157
2m=1374p1=1217
2m=1374p1=1367
2m=1380p1=19
2m=1380p1=53
2m=1380p1=73
2m=1380p1=101
2m=1380p1=103
2m=1380p1=151
2m=1380p1=229
2m=1380p1=257
2m=1380p1=283
2m=1380p1=367
2m=1380p1=409
2m=1380p1=521
2m=1380p1=607
2m=1380p1=619
2m=1380p1=647
2m=1380p1=733
2m=1380p1=761
2m=1380p1=773
2m=1380p1=859
2m=1380p1=971
2m=1380p1=1013
2m=1380p1=1097
2m=1380p1=1123
2m=1380p1=1151
2m=1380p1=1229
2m=1380p1=1277
2m=1380p1=1279
2m=1380p1=1307
2m=1380p1=1327
2m=1380p1=1361
2m=1386p1=163
2m=1386p1=193
2m=1386p1=223
2m=1386p1=233
2m=1386p1=373
2m=1386p1=503
2m=1386p1=643
2m=1386p1=743
2m=1386p1=883
2m=1386p1=1013
2m=1386p1=1153
2m=1386p1=1163
2m=1386p1=1193
2m=1386p1=1223
2m=1392p1=31
2m=1392p1=101
2m=1392p1=191
2m=1392p1=1201
2m=1392p1=1291
2m=1392p1=1361
2m=1398p1=349
2m=1398p1=379
2m=1398p1=1019
2m=1398p1=1049
2m=1404p1=5
2m=1404p1=457
2m=1404p1=467
2m=1404p1=677
2m=1404p1=727
2m=1404p1=937
2m=1404p1=947
2m=1404p1=1399
2m=1410p1=29
2m=1410p1=43
2m=1410p1=89
2m=1410p1=113
2m=1410p1=173
2m=1410p1=379
2m=1410p1=463
2m=1410p1=523
2m=1410p1=659
2m=1410p1=677
2m=1410p1=733
2m=1410p1=751
2m=1410p1=887
2m=1410p1=947
2m=1410p1=1031
2m=1410p1=1237
2m=1410p1=1297
2m=1410p1=1321
2m=1410p1=1367
2m=1410p1=1381
2m=1416p1=43
2m=1416p1=293
2m=1416p1=563
2m=1416p1=853
2m=1416p1=1123
2m=1416p1=1373
2m=1422p1=131
2m=1422p1=1291
2m=1428p1=5
2m=1428p1=19
2m=1428p1=179
2m=1428p1=199
2m=1428p1=419
2m=1428p1=569
2m=1428p1=859
2m=1428p1=1009
2m=1428p1=1229
2m=1428p1=1249
2m=1428p1=1409
2m=1428p1=1423
2m=1430p1=3
2m=1430p1=1427
2m=1434p1=137
2m=1434p1=647
2m=1434p1=787
2m=1434p1=1297
2m=1440p1=113
2m=1440p1=139
2m=1440p1=181
2m=1440p1=223
2m=1440p1=337
2m=1440p1=349
2m=1440p1=421
2m=1440p1=587
2m=1440p1=613
2m=1440p1=643
2m=1440p1=701
2m=1440p1=739
2m=1440p1=797
2m=1440p1=827
2m=1440p1=853
2m=1440p1=1019
2m=1440p1=1091
2m=1440p1=1103
2m=1440p1=1217
2m=1440p1=1259
2m=1440p1=1301
2m=1440p1=1327
2m=1446p1=13
2m=1446p1=163
2m=1446p1=433
2m=1446p1=1013
2m=1446p1=1283
2m=1446p1=1433
2m=1450p1=3
2m=1450p1=1447
2m=1452p1=71
2m=1452p1=271
2m=1452p1=631
2m=1452p1=691
2m=1452p1=701
2m=1452p1=751
2m=1452p1=761
2m=1452p1=821
2m=1452p1=1181
2m=1452p1=1381
2m=1456p1=3
2m=1456p1=1453
2m=1458p1=29
2m=1458p1=139
2m=1458p1=449
2m=1458p1=1009
2m=1458p1=1319
2m=1458p1=1429
2m=1464p1=137
2m=1464p1=487
2m=1464p1=677
2m=1464p1=787
2m=1464p1=977
2m=1464p1=1327
2m=1470p1=23
2m=1470p1=61
2m=1470p1=89
2m=1470p1=97
2m=1470p1=149
2m=1470p1=151
2m=1470p1=277
2m=1470p1=283
2m=1470p1=307
2m=1470p1=401
2m=1470p1=409
2m=1470p1=419
2m=1470p1=503
2m=1470p1=523
2m=1470p1=541
2m=1470p1=593
2m=1470p1=643
2m=1470p1=659
2m=1470p1=673
2m=1470p1=797
2m=1470p1=811
2m=1470p1=827
2m=1470p1=877
2m=1470p1=929
2m=1470p1=947
2m=1470p1=967
2m=1470p1=1051
2m=1470p1=1061
2m=1470p1=1069
2m=1470p1=1163
2m=1470p1=1187
2m=1470p1=1193
2m=1470p1=1319
2m=1470p1=1321
2m=1470p1=1373
2m=1470p1=1381
2m=1470p1=1409
2m=1470p1=1447
2m=1476p1=613
2m=1476p1=863
2m=1476p1=1481
2m=1482p1=11
2m=1482p1=251
2m=1482p1=491
2m=1482p1=571
2m=1482p1=911
2m=1482p1=991
2m=1482p1=1231
2m=1482p1=1471
2m=1486p1=3
2m=1486p1=1483
2m=1488p1=5
2m=1488p1=79
2m=1488p1=359
2m=1488p1=419
2m=1488p1=1069
2m=1488p1=1129
2m=1488p1=1409
2m=1488p1=1483
2m=1494p1=127
2m=1494p1=617
2m=1494p1=877
2m=1494p1=1367
2m=1500p1=197
2m=1500p1=199
2m=1500p1=223
2m=1500p1=449
2m=1500p1=479
2m=1500p1=563
2m=1500p1=643
2m=1500p1=661
2m=1500p1=839
2m=1500p1=857
2m=1500p1=937
2m=1500p1=1021
2m=1500p1=1051
2m=1500p1=1277
2m=1500p1=1301
2m=1500p1=1303
2m=1506p1=73
2m=1506p1=283
2m=1506p1=1223
2m=1506p1=1433
2m=1512p1=311
2m=1512p1=601
2m=1512p1=631
2m=1512p1=691
2m=1512p1=821
2m=1512p1=881
2m=1512p1=911
2m=1512p1=1201
2m=1518p1=79
2m=1518p1=109
2m=1518p1=269
2m=1518p1=389
2m=1518p1=479
2m=1518p1=1039
2m=1518p1=1129
2m=1518p1=1249
2m=1518p1=1409
2m=1518p1=1439
2m=1524p1=197
2m=1524p1=307
2m=1524p1=337
2m=1524p1=1187
2m=1524p1=1217
2m=1524p1=1327
2m=1530p1=19
2m=1530p1=37
2m=1530p1=41
2m=1530

---

作者: ysr    时间: 2021-12-28 18:26


代码如下：
Private Sub Command1_Click()
'研究某数蔡氏素数的程序
Dim a, b
a = Val(Text1)
a1 = a
q = Val(Text2)
m = Val(2)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If
s = 0
Do While m <= q
Do While a < Val(m)
Do While InStr(fenjieyinzi0(Val(a)), "*") > 0
a = a + 2
Loop

p1 = a
p2 = Val(m - p1)
p3 = Val(p1 + m)
p4 = Val(p2 + m)
Print p1, p2, p3, p4
If Val(p2) > 0 And InStr(fenjieyinzi0(Val(p1)), "*") = 0 And InStr(fenjieyinzi0(Val(p2)), "*") = 0 And InStr(fenjieyinzi0(Val(p3)), "*") = 0 And InStr(fenjieyinzi0(Val(p4)), "*") = 0 Then
Text3 = Text3 & "2m=" & m & "p1=" & p1 & "p2=" & p2 & "p3=" & p3 & "p4=" & p4 & vbCrLf
s = s + 1
s103 = s103 & m & "/"

Else
m = m
End If

a = a + 2

Loop
m = Val(m + 2)
a = 3
Loop
s103 = Mid(s103, 1)
Dim i As Integer
Dim ak(), s105, cr(), f
Set f = CreateObject("Scripting.Dictionary")
s105 = Split(s103, "/")
   j1 = UBound(s105)
   Print j1
   For k = 1 To j1
      n1 = n1 + 1
       ReDim Preserve ak(1 To n1)
      ak(n1) = s105(n1)
    Next
    Print ak(1)
     n = 0
        For k = 1 To j1
           
             n = n + 1
             ReDim Preserve cr(1 To n)
            m = Val(ak(k))
            f(m) = ""
      
    Next
      n = 0
      m = f.Keys
      For i = 0 To f.Count - 1
          ReDim Preserve cr(1 To i + 1)
          cr(i + 1) = m(i)
      Next
     For i = 1 To UBound(cr) - 1
        For j = i + 1 To UBound(cr)
            If cr(i) > cr(j) Then
                temp = cr(j)
                cr(j) = cr(i)
                cr(i) = temp  'c数组是排序好的
            End If
        Next j
        
       ' If i Mod 20 = 0 Then
       ' s104 = s104 & temp & "/" & vbCrLf
       ' Else
       ' s104 = s104 & temp & "/"
       ' End If
    Next i
   
      For i = 1 To UBound(cr)
        If i Mod 20 = 0 Then
          s104 = s104 & cr(i) & "/" & vbCrLf
        Else
          s104 = s104 & cr(i) & "/"
        End If
     Next
         Print temp
         MsgBox "ok"
     MsgBox s104  '显示数组
     s106 = Split(s104, "/")
   j2 = UBound(s106)
Text4 = s104
Combo1 = "有" & s & "组蔡氏偶数有" & Val(j2 - 1) & "个不同的偶数" & Text3

End Sub

---

作者: ysr    时间: 2021-12-28 18:27


100内有70组蔡氏偶数有23个不同的偶数2m=8p1=3p2=5p3=11p4=13
2m=8p1=5p2=3p3=13p4=11
2m=10p1=3p2=7p3=13p4=17
2m=10p1=7p2=3p3=17p4=13
2m=12p1=5p2=7p3=17p4=19
2m=12p1=7p2=5p3=19p4=17
2m=16p1=3p2=13p3=19p4=29
2m=16p1=13p2=3p3=29p4=19
2m=18p1=5p2=13p3=23p4=31
2m=18p1=13p2=5p3=31p4=23
2m=20p1=3p2=17p3=23p4=37
2m=20p1=17p2=3p3=37p4=23
2m=24p1=5p2=19p3=29p4=43
2m=24p1=7p2=17p3=31p4=41
2m=24p1=17p2=7p3=41p4=31
2m=24p1=19p2=5p3=43p4=29
2m=30p1=7p2=23p3=37p4=53
2m=30p1=13p2=17p3=43p4=47
2m=30p1=17p2=13p3=47p4=43
2m=30p1=23p2=7p3=53p4=37
2m=36p1=5p2=31p3=41p4=67
2m=36p1=31p2=5p3=67p4=41
2m=42p1=5p2=37p3=47p4=79
2m=42p1=11p2=31p3=53p4=73
2m=42p1=31p2=11p3=73p4=53
2m=42p1=37p2=5p3=79p4=47
2m=50p1=3p2=47p3=53p4=97
2m=50p1=47p2=3p3=97p4=53
2m=54p1=7p2=47p3=61p4=101
2m=54p1=47p2=7p3=101p4=61
2m=56p1=3p2=53p3=59p4=109
2m=56p1=53p2=3p3=109p4=59
2m=60p1=7p2=53p3=67p4=113
2m=60p1=13p2=47p3=73p4=107
2m=60p1=19p2=41p3=79p4=101
2m=60p1=23p2=37p3=83p4=97
2m=60p1=37p2=23p3=97p4=83
2m=60p1=41p2=19p3=101p4=79
2m=60p1=47p2=13p3=107p4=73
2m=60p1=53p2=7p3=113p4=67
2m=66p1=5p2=61p3=71p4=127
2m=66p1=23p2=43p3=89p4=109
2m=66p1=43p2=23p3=109p4=89
2m=66p1=61p2=5p3=127p4=71
2m=70p1=3p2=67p3=73p4=137
2m=70p1=67p2=3p3=137p4=73
2m=72p1=31p2=41p3=103p4=113
2m=72p1=41p2=31p3=113p4=103
2m=76p1=3p2=73p3=79p4=149
2m=76p1=73p2=3p3=149p4=79
2m=78p1=5p2=73p3=83p4=151
2m=78p1=19p2=59p3=97p4=137
2m=78p1=59p2=19p3=137p4=97
2m=78p1=73p2=5p3=151p4=83
2m=84p1=5p2=79p3=89p4=163
2m=84p1=17p2=67p3=101p4=151
2m=84p1=67p2=17p3=151p4=101
2m=84p1=79p2=5p3=163p4=89
2m=90p1=7p2=83p3=97p4=173
2m=90p1=17p2=73p3=107p4=163
2m=90p1=23p2=67p3=113p4=157
2m=90p1=67p2=23p3=157p4=113
2m=90p1=73p2=17p3=163p4=107
2m=90p1=83p2=7p3=173p4=97
2m=96p1=13p2=83p3=109p4=179
2m=96p1=43p2=53p3=139p4=149
2m=96p1=53p2=43p3=149p4=139
2m=96p1=83p2=13p3=179p4=109
2m=100p1=3p2=97p3=103p4=197
2m=100p1=97p2=3p3=197p4=103

---

作者: ysr    时间: 2021-12-28 18:27


0/8/10/12/16/18/20/24/30/36/42/50/54/56/60/66/70/72/76/78/
84/90/96/100/

---

作者: ysr    时间: 2021-12-28 19:08


10000内有30396组蔡氏偶数有1750个不同的偶数2m=8p1=3p2=5p3=11p4=13
2m=8p1=5p2=3p3=13p4=11
2m=10p1=3p2=7p3=13p4=17
2m=10p1=7p2=3p3=17p4=13
2m=12p1=5p2=7p3=17p4=19
2m=12p1=7p2=5p3=19p4=17
2m=16p1=3p2=13p3=19p4=29
2m=16p1=13p2=3p3=29p4=19
2m=18p1=5p2=13p3=23p4=31
2m=18p1=13p2=5p3=31p4=23
2m=20p1=3p2=17p3=23p4=37
2m=20p1=17p2=3p3=37p4=23
2m=24p1=5p2=19p3=29p4=43
2m=24p1=7p2=17p3=31p4=41
2m=24p1=17p2=7p3=41p4=31
2m=24p1=19p2=5p3=43p4=29
2m=30p1=7p2=23p3=37p4=53
2m=30p1=13p2=17p3=43p4=47
2m=30p1=17p2=13p3=47p4=43
2m=30p1=23p2=7p3=53p4=37
2m=36p1=5p2=31p3=41p4=67
2m=36p1=31p2=5p3=67p4=41
2m=42p1=5p2=37p3=47p4=79
2m=42p1=11p2=31p3=53p4=73
2m=42p1=31p2=11p3=73p4=53
2m=42p1=37p2=5p3=79p4=47
2m=50p1=3p2=47p3=53p4=97
2m=50p1=47p2=3p3=97p4=53
2m=54p1=7p2=47p3=61p4=101
2m=54p1=47p2=7p3=101p4=61
2m=56p1=3p2=53p3=59p4=109
2m=56p1=53p2=3p3=109p4=59
2m=60p1=7p2=53p3=67p4=113
2m=60p1=13p2=47p3=73p4=107
2m=60p1=19p2=41p3=79p4=101
2m=60p1=23p2=37p3=83p4=97
2m=60p1=37p2=23p3=97p4=83
2m=60p1=41p2=19p3=101p4=79
2m=60p1=47p2=13p3=107p4=73
2m=60p1=53p2=7p3=113p4=67
2m=66p1=5p2=61p3=71p4=127
2m=66p1=23p2=43p3=89p4=109
2m=66p1=43p2=23p3=109p4=89
2m=66p1=61p2=5p3=127p4=71
2m=70p1=3p2=67p3=73p4=137
2m=70p1=67p2=3p3=137p4=73
2m=72p1=31p2=41p3=103p4=113
2m=72p1=41p2=31p3=113p4=103
2m=76p1=3p2=73p3=79p4=149
2m=76p1=73p2=3p3=149p4=79
2m=78p1=5p2=73p3=83p4=151
2m=78p1=19p2=59p3=97p4=137
2m=78p1=59p2=19p3=137p4=97
2m=78p1=73p2=5p3=151p4=83
2m=84p1=5p2=79p3=89p4=163
2m=84p1=17p2=67p3=101p4=151
2m=84p1=67p2=17p3=151p4=101
2m=84p1=79p2=5p3=163p4=89
2m=90p1=7p2=83p3=97p4=173
2m=90p1=17p2=73p3=107p4=163
2m=90p1=23p2=67p3=113p4=157
2m=90p1=67p2=23p3=157p4=113
2m=90p1=73p2=17p3=163p4=107
2m=90p1=83p2=7p3=173p4=97
2m=96p1=13p2=83p3=109p4=179
2m=96p1=43p2=53p3=139p4=149
2m=96p1=53p2=43p3=149p4=139
2m=96p1=83p2=13p3=179p4=109
2m=100p1=3p2=97p3=103p4=197
2m=100p1=97p2=3p3=197p4=103
2m=102p1=5p2=97p3=107p4=199
2m=102p1=97p2=5p3=199p4=107
2m=108p1=5p2=103p3=113p4=211
2m=108p1=19p2=89p3=127p4=197
2m=108p1=89p2=19p3=197p4=127
2m=108p1=103p2=5p3=211p4=113
2m=114p1=17p2=97p3=131p4=211
2m=114p1=97p2=17p3=211p4=131
2m=120p1=7p2=113p3=127p4=233
2m=120p1=11p2=109p3=131p4=229
2m=120p1=17p2=103p3=137p4=223
2m=120p1=47p2=73p3=167p4=193
2m=120p1=59p2=61p3=179p4=181
2m=120p1=61p2=59p3=181p4=179
2m=120p1=73p2=47p3=193p4=167
2m=120p1=103p2=17p3=223p4=137
2m=120p1=109p2=11p3=229p4=131
2m=120p1=113p2=7p3=233p4=127
2m=126p1=13p2=113p3=139p4=239
2m=126p1=23p2=103p3=149p4=229
2m=126p1=53p2=73p3=179p4=199
2m=126p1=73p2=53p3=199p4=179
2m=126p1=103p2=23p3=229p4=149
2m=126p1=113p2=13p3=239p4=139
2m=132p1=31p2=101p3=163p4=233
2m=132p1=101p2=31p3=233p4=163
2m=144p1=5p2=139p3=149p4=283
2m=144p1=7p2=137p3=151p4=281
2m=144p1=37p2=107p3=181p4=251
2m=144p1=47p2=97p3=191p4=241
2m=144p1=97p2=47p3=241p4=191
2m=144p1=107p2=37p3=251p4=181
2m=144p1=137p2=7p3=281p4=151
2m=144p1=139p2=5p3=283p4=149
2m=150p1=23p2=127p3=173p4=277
2m=150p1=43p2=107p3=193p4=257
2m=150p1=61p2=89p3=211p4=239
2m=150p1=89p2=61p3=239p4=211
2m=150p1=107p2=43p3=257p4=193
2m=150p1=127p2=23p3=277p4=173
2m=156p1=43p2=113p3=199p4=269
2m=156p1=73p2=83p3=229p4=239
2m=156p1=83p2=73p3=239p4=229
2m=156p1=113p2=43p3=269p4=199
2m=160p1=3p2=157p3=163p4=317
2m=160p1=157p2=3p3=317p4=163
2m=162p1=11p2=151p3=173p4=313
2m=162p1=31p2=131p3=193p4=293
2m=162p1=61p2=101p3=223p4=263
2m=162p1=101p2=61p3=263p4=223
2m=162p1=131p2=31p3=293p4=193
2m=162p1=151p2=11p3=313p4=173
2m=168p1=5p2=163p3=173p4=331
2m=168p1=29p2=139p3=197p4=307
2m=168p1=59p2=109p3=227p4=277
2m=168p1=109p2=59p3=277p4=227
2m=168p1=139p2=29p3=307p4=197
2m=168p1=163p2=5p3=331p4=173
2m=170p1=3p2=167p3=173p4=337
2m=170p1=167p2=3p3=337p4=173
2m=174p1=17p2=157p3=191p4=331
2m=174p1=37p2=137p3=211p4=311
2m=174p1=67p2=107p3=241p4=281
2m=174p1=107p2=67p3=281p4=241
2m=174p1=137p2=37p3=311p4=211
2m=174p1=157p2=17p3=331p4=191
2m=176p1=3p2=173p3=179p4=349
2m=176p1=173p2=3p3=349p4=179
2m=180p1=13p2=167p3=193p4=347
2m=180p1=43p2=137p3=223p4=317
2m=180p1=53p2=127p3=233p4=307
2m=180p1=83p2=97p3=263p4=277
2m=180p1=97p2=83p3=277p4=263
2m=180p1=127p2=53p3=307p4=233
2m=180p1=137p2=43p3=317p4=223
2m=180p1=167p2=13p3=347p4=193
2m=186p1=5p2=181p3=191p4=367
2m=186p1=13p2=173p3=199p4=359
2m=186p1=173p2=13p3=359p4=199
2m=186p1=181p2=5p3=367p4=191
2m=196p1=3p2=193p3=199p4=389
2m=196p1=193p2=3p3=389p4=199
2m=198p1=59p2=139p3=257p4=337
2m=198p1=139p2=59p3=337p4=257
2m=204p1=7p2=197p3=211p4=401
2m=204p1=197p2=7p3=401p4=211
2m=210p1=19p2=191p3=229p4=401
2m=210p1=31p2=179p3=241p4=389
2m=210p1=47p2=163p3=257p4=373
2m=210p1=53p2=157p3=263p4=367
2m=210p1=61p2=149p3=271p4=359
2m=210p1=71p2=139p3=281p4=349
2m=210p1=73p2=137p3=283p4=347
2m=210p1=83p2=127p3=293p4=337
2m=210p1=103p2=107p3=313p4=317
2m=210p1=107p2=103p3=317p4=313
2m=210p1=127p2=83p3=337p4=293
2m=210p1=137p2=73p3=347p4=283
2m=210p1=139p2=71p3=349p4=281
2m=210p1=149p2=61p3=359p4=271
2m=210p1=157p2=53p3=367p4=263
2m=210p1=163p2=47p3=373p4=257
2m=210p1=179p2=31p3=389p4=241
2m=210p1=191p2=19p3=401p4=229
2m=216p1=23p2=193p3=239p4=409
2m=216p1=53p2=163p3=269p4=379
2m=216p1=163p2=53p3=379p4=269
2m=216p1=193p2=23p3=409p4=239
2m=222p1=11p2=211p3=233p4=433
2m=222p1=71p2=151p3=293p4=373
2m=222p1=151p2=71p3=373p4=293
2m=222p1=211p2=11p3=433p4=233
2m=226p1=3p2=223p3=229p4=449
2m=226p1=223p2=3p3=449p4=229
2m=228p1=89p2=139p3=317p4=367
2m=228p1=139p2=89p3=367p4=317
2m=230p1=3p2=227p3=233p4=457
2m=230p1=227p2=3p3=457p4=233
2m=234p1=5p2=229p3=239p4=463
2m=234p1=7p2=227p3=241p4=461
2m=234p1=37p2=197p3=271p4=431
2m=234p1=197p2=37p3=431p4=271
2m=234p1=227p2=7p3=461p4=241
2m=234p1=229p2=5p3=463p4=239
2m=240p1=17p2=223p3=257p4=463
2m=240p1=41p2=199p3=281p4=439
2m=240p1=113p2=127p3=353p4=367
2m=240p1=127p2=113p3=367p4=353
2m=240p1=199p2=41p3=439p4=281
2m=240p1=223p2=17p3=463p4=257
2m=246p1=5p2=241p3=251p4=487
2m=246p1=241p2=5p3=487p4=251
2m=252p1=41p2=211p3=293p4=463
2m=252p1=61p2=191p3=313p4=443
2m=252p1=191p2=61p3=443p4=313
2m=252p1=211p2=41p3=463p4=293
2m=258p1=59p2=199p3=317p4=457
2m=258p1=199p2=59p3=457p4=317
2m=264p1=7p2=257p3=271p4=521
2m=264p1=67p2=197p3=331p4=461
2m=264p1=197p2=67p3=461p4=331
2m=264p1=257p2=7p3=521p4=271
2m=270p1=37p2=233p3=307p4=503
2m=270p1=41p2=229p3=311p4=499
2m=270p1=79p2=191p3=349p4=461
2m=270p1=97p2=173p3=367p4=443
2m=270p1=131p2=139p3=401p4=409
2m=270p1=139p2=131p3=409p4=401
2m=270p1=173p2=97p3=443p4=367
2m=270p1=191p2=79p3=461p4=349
2m=270p1=229p2=41p3=499p4=311
2m=270p1=233p2=37p3=503p4=307
2m=276p1=5p2=271p3=281p4=547
2m=276p1=103p2=173p3=379p4=449
2m=276p1=113p2=163p3=389p4=439
2m=276p1=163p2=113p3=439p4=389
2m=276p1=173p2=103p3=449p4=379
2m=276p1=271p2=5p3=547p4=281
2m=280p1=3p2=277p3=283p4=557
2m=280p1=277p2=3p3=557p4=283
2m=282p1=101p2=181p3=383p4=463
2m=282p1=181p2=101p3=463p4=383
2m=288p1=5p2=283p3=293p4=571
2m=288p1=19p2=269p3=307p4=557
2m=288p1=109p2=179p3=397p4=467
2m=288p1=179p2=109p3=467p4=397
2m=288p1=269p2=19p3=557p4=307
2m=288p1=283p2=5p3=571p4=293
2m=294p1=17p2=277p3=311p4=571
2m=294p1=127p2=167p3=421p4=461
2m=294p1=167p2=127p3=461p4=421
2m=294p1=277p2=17p3=571p4=311
2m=300p1=7p2=293p3=307p4=593
2m=300p1=31p2=269p3=331p4=569
2m=300p1=37p2=263p3=337p4=563
2m=300p1=59p2=241p3=359p4=541
2m=300p1=101p2=199p3=401p4=499
2m=300p1=109p2=191p3=409p4=491
2m=300p1=191p2=109p3=491p4=409
2m=300p1=199p2=101p3=499p4=401
2m=300p1=241p2=59p3=541p4=359
2m=300p1=263p2=37p3=563p4=337
2m=300p1=269p2=31p3=569p4=331
2m=300p1=293p2=7p3=593p4=307
2m=306p1=43p2=263p3=349p4=569
2m=306p1=113p2=193p3=419p4=499
2m=306p1=193p2=113p3=499p4=419
2m=306p1=263p2=43p3=569p4=349
2m=310p1=3p2=307p3=313p4=617
2m=310p1=307p2=3p3=617p4=313
2m=312p1=5p2=307p3=317p4=619
2m=312p1=61p2=251p3=373p4=563
2m=312p1=251p2=61p3=563p4=373
2m=312p1=307p2=5p3=619p4=317
2m=318p1=79p2=239p3=397p4=557
2m=318p1=239p2=79p3=557p4=397
2m=324p1=7p2=317p3=331p4=641
2m=324p1=317p2=7p3=641p4=331
2m=330p1=17p2=313p3=347p4=643
2m=330p1=19p2=311p3=349p4=641
2m=330p1=53p2=277p3=383p4=607
2m=330p1=59p2=271p3=389p4=601
2m=330p1=67p2=263p3=397p4=593
2m=330p1=89p2=241p3=419p4=571
2m=330p1=103p2=227p3=433p4=557

---

作者: ysr    时间: 2021-12-28 19:09


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3166/3168/3174/3180/3186/3192/3198/3204/3210/3216/3222/3228/3234/3240/3246/3252/3258/3264/3270/3276/
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7308/7314/7320/7326/7332/7338/7344/7350/7356/7362/7368/7374/7380/7386/7392/7398/7404/7410/7416/7422/
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7782/7788/7794/7800/7806/7812/7818/7824/7826/7830/7836/7842/7848/7854/7860/7866/7870/7872/7876/7878/
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8004/8010/8016/8022/8028/8034/8040/8046/8052/8058/8064/8070/8076/8082/8088/8094/8100/8106/8112/8118/
8124/8130/8136/8142/8148/8154/8160/8166/8172/8178/8184/8190/8196/8202/8208/8214/8220/8226/8232/8238/
8240/8244/8250/8256/8262/8266/8268/8274/8280/8286/8292/8298/8304/8310/8316/8322/8328/8334/8340/8346/
8352/8358/8364/8366/8370/8376/8382/8388/8394/8400/8406/8412/8418/8424/8430/8436/8442/8448/8454/8460/
8466/8472/8478/8484/8490/8496/8502/8508/8514/8520/8526/8532/8538/8540/8544/8550/8556/8562/8568/8574/
8580/8586/8592/8598/8604/8610/8616/8622/8628/8634/8640/8646/8652/8658/8664/8670/8676/8682/8688/8694/
8696/8700/8706/8710/8712/8718/8724/8730/8736/8742/8748/8750/8754/8760/8766/8772/8778/8784/8790/8796/
8802/8808/8814/8820/8826/8832/8838/8844/8850/8856/8862/8868/8874/8880/8886/8892/8898/8904/8910/8916/
8922/8928/8934/8940/8946/8952/8958/8964/8966/8970/8976/8982/8988/8994/9000/9006/9012/9018/9024/9030/
9036/9042/9046/9048/9054/9060/9066/9072/9078/9084/9090/9096/9102/9108/9114/9120/9126/9130/9132/9138/
9144/9150/9156/9162/9168/9174/9180/9186/9192/9198/9204/9210/9216/9222/9228/9234/9240/9246/9252/9258/
9264/9270/9276/9282/9288/9294/9300/9306/9312/9318/9324/9330/9336/9342/9348/9354/9360/9366/9372/9378/
9384/9390/9396/9400/9402/9408/9414/9420/9426/9432/9436/9438/9444/9450/9456/9462/9468/9474/9480/9486/
9492/9498/9504/9510/9516/9522/9528/9534/9536/9540/9546/9552/9558/9564/9570/9576/9582/9588/9594/9600/
9606/9612/9618/9624/9626/9630/9636/9642/9646/9648/9654/9660/9666/9672/9678/9684/9690/9696/9702/9708/
9714/9720/9726/9732/9736/9738/9744/9746/9750/9756/9762/9768/9774/9780/9786/9792/9798/9804/9810/9816/
9822/9828/9834/9840/9846/9852/9858/9864/9870/9876/9882/9888/9894/9900/9906/9912/9918/9924/9930/9936/
9942/9948/9954/9960/9966/9970/9972/9978/9984/9990/9996/

---

作者: ysr    时间: 2021-12-28 19:11

蔡家雄 发表于 2021-12-27 05:31
6

6 <2m <= 10000 有(  1750      )个蔡氏偶数？

---

作者: 蔡家雄    时间: 2021-12-28 20:10
6 <2m <= 10000 有( 1821 )个蔡氏偶数，占比：1821*2/10000=0.364

程序显示：2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

10000 <2m <= 20000 有(         )个蔡氏偶数，占比：( 1821+     )*2/20000=

20000 <2m <= 30000 有(         )个蔡氏偶数，占比：

---

作者: ysr    时间: 2021-12-28 20:59

蔡家雄 发表于 2021-12-28 12:10
6

6 <2m <= 10000 有( 1750 )个蔡氏偶数，占比：1821*2/10000=0.364

程序显示：2m=?  素数p1=?  素数p2=?  素数(2m+p1)=?  素数(2m+p2)=?  这五个数值。

10000 <2m <= 20000 有( 1727        )个蔡氏偶数，占比：( 1750+   1727  )*2/20000=0.3477

---

作者: 时空伴随者    时间: 2021-12-28 21:09
友情提示：34=37-3，64=67-3 等等不是解！

---

作者: ysr    时间: 2021-12-29 04:57

蔡家雄 发表于 2021-12-28 12:10
6

20000 <2m <= 30000 有( 1723        )个蔡氏偶数，占比：（1750+1727+1723）*2/30000=0.3466667.

---

作者: ysr    时间: 2021-12-29 04:58


10000~20000内有57654组蔡氏偶数有1727个不同的偶数2m=10002p1=191p2=9811p3=10193p4=19813
2m=10002p1=991p2=9011p3=10993p4=19013
2m=10002p1=1481p2=8521p3=11483p4=18523
2m=10002p1=3041p2=6961p3=13043p4=16963
2m=10002p1=3511p2=6491p3=13513p4=16493
2m=10002p1=4421p2=5581p3=14423p4=15583
2m=10002p1=4561p2=5441p3=14563p4=15443
2m=10002p1=5441p2=4561p3=15443p4=14563
2m=10002p1=5581p2=4421p3=15583p4=14423
2m=10002p1=6491p2=3511p3=16493p4=13513
2m=10002p1=6961p2=3041p3=16963p4=13043
2m=10002p1=8521p2=1481p3=18523p4=11483
2m=10002p1=9011p2=991p3=19013p4=10993
2m=10002p1=9811p2=191p3=19813p4=10193
2m=10008p1=239p2=9769p3=10247p4=19777
2m=10008p1=4729p2=5279p3=14737p4=15287
2m=10008p1=5279p2=4729p3=15287p4=14737
2m=10008p1=9769p2=239p3=19777p4=10247
2m=10014p1=2477p2=7537p3=12491p4=17551
2m=10014p1=2707p2=7307p3=12721p4=17321
2m=10014p1=4937p2=5077p3=14951p4=15091
2m=10014p1=5077p2=4937p3=15091p4=14951
2m=10014p1=7307p2=2707p3=17321p4=12721
2m=10014p1=7537p2=2477p3=17551p4=12491
2m=10020p1=47p2=9973p3=10067p4=19993
2m=10020p1=79p2=9941p3=10099p4=19961
2m=10020p1=113p2=9907p3=10133p4=19927
2m=10020p1=149p2=9871p3=10169p4=19891
2m=10020p1=239p2=9781p3=10259p4=19801
2m=10020p1=281p2=9739p3=10301p4=19759
2m=10020p1=509p2=9511p3=10529p4=19531
2m=10020p1=607p2=9413p3=10627p4=19433
2m=10020p1=883p2=9137p3=10903p4=19157
2m=10020p1=953p2=9067p3=10973p4=19087
2m=10020p1=1237p2=8783p3=11257p4=18803
2m=10020p1=1423p2=8597p3=11443p4=18617
2m=10020p1=1447p2=8573p3=11467p4=18593

---

作者: ysr    时间: 2021-12-29 04:58


0/10002/10008/10014/10020/10026/10032/10038/10044/10050/10056/10062/10068/10074/10080/10086/10092/10098/10104/10110/
10116/10122/10128/10134/10136/10140/10146/10152/10158/10164/10170/10176/10182/10188/10194/10200/10206/10212/10218/10224/
10230/10236/10242/10248/10254/10256/10260/10266/10272/10278/10284/10290/10296/10302/10308/10314/10320/10326/10332/10338/
10344/10350/10356/10362/10368/10374/10380/10386/10392/10398/10404/10410/10416/10422/10428/10430/10434/10440/10446/10452/
10458/10464/10470/10476/10482/10488/10494/10500/10506/10512/10518/10524/10530/10536/10542/10548/10554/10560/10566/10572/
10578/10584/10590/10596/10602/10608/10614/10620/10626/10632/10638/10644/10650/10656/10660/10662/10668/10674/10680/10686/
10692/10698/10704/10710/10716/10722/10728/10734/10740/10746/10752/10758/10764/10770/10776/10782/10788/10794/10800/10806/
10812/10818/10824/10830/10836/10842/10848/10854/10860/10866/10872/10878/10884/10890/10896/10902/10908/10914/10920/10926/
10932/10938/10944/10950/10956/10962/10968/10974/10980/10986/10990/10992/10998/11004/11010/11016/11022/11028/11034/11040/
11046/11052/11058/11064/11070/11076/11082/11088/11094/11100/11106/11112/11116/11118/11124/11130/11136/11142/11148/11154/
11160/11166/11172/11178/11184/11190/11196/11202/11208/11214/11220/11226/11232/11238/11244/11250/11256/11262/11268/11274/
11276/11280/11286/11292/11298/11304/11310/11316/11322/11328/11334/11340/11346/11352/11358/11364/11370/11376/11382/11388/
11394/11400/11406/11412/11418/11424/11430/11436/11440/11442/11448/11454/11460/11466/11472/11478/11484/11490/11496/11502/
11508/11514/11520/11526/11532/11538/11544/11550/11556/11562/11568/11574/11580/11586/11592/11598/11604/11610/11616/11622/
11628/11634/11640/11646/11652/11658/11664/11670/11676/11682/11688/11694/11700/11706/11712/11718/11724/11730/11736/11742/
11748/11754/11760/11766/11772/11778/11780/11784/11790/11796/11802/11808/11814/11820/11826/11832/11836/11838/11844/11850/
11856/11862/11868/11874/11880/11886/11892/11898/11904/11910/11916/11922/11928/11930/11934/11936/11940/11946/11952/11956/
11958/11964/11970/11976/11982/11988/11994/12000/12006/12012/12018/12024/12030/12036/12040/12042/12048/12054/12060/12066/
12072/12078/12084/12090/12096/12102/12108/12114/12116/12120/12126/12132/12138/12144/12150/12156/12160/12162/12168/12174/
12180/12186/12192/12198/12204/12210/12216/12222/12228/12234/12240/12246/12252/12258/12264/12270/12276/12282/12288/12294/
12300/12306/12312/12318/12324/12330/12336/12342/12348/12354/12360/12366/12372/12376/12378/12384/12390/12396/12402/12408/
12414/12420/12426/12432/12438/12444/12450/12456/12462/12468/12474/12480/12486/12492/12498/12504/12510/12516/12522/12528/
12534/12540/12546/12550/12552/12558/12564/12570/12576/12582/12586/12588/12594/12600/12606/12612/12616/12618/12624/12630/
12636/12642/12648/12654/12656/12660/12666/12672/12678/12684/12690/12696/12702/12708/12714/12720/12726/12732/12738/12744/
12750/12756/12762/12768/12774/12780/12786/12792/12798/12804/12810/12816/12822/12828/12834/12840/12846/12852/12858/12864/
12870/12876/12882/12888/12894/12900/12906/12912/12918/12924/12930/12936/12942/12948/12954/12960/12966/12972/12978/12984/
12990/12996/13002/13008/13014/13020/13026/13032/13038/13044/13050/13056/13062/13068/13074/13080/13086/13092/13096/13098/
13104/13106/13110/13116/13122/13128/13134/13140/13146/13152/13158/13164/13170/13176/13180/13182/13188/13194/13200/13206/
13212/13218/13224/13230/13236/13242/13248/13254/13260/13266/13272/13278/13284/13290/13296/13302/13308/13314/13320/13326/
13332/13338/13344/13350/13356/13362/13368/13374/13380/13386/13392/13398/13404/13410/13416/13422/13428/13434/13440/13446/
13452/13458/13464/13470/13476/13482/13488/13494/13500/13506/13512/13518/13524/13530/13536/13542/13548/13554/13560/13566/
13572/13578/13584/13590/13596/13602/13608/13614/13620/13626/13632/13638/13644/13650/13656/13662/13668/13674/13680/13686/
13692/13698/13704/13710/13716/13722/13726/13728/13734/13740/13746/13752/13758/13764/13770/13776/13782/13788/13794/13800/
13806/13812/13818/13824/13830/13836/13842/13848/13854/13860/13866/13872/13876/13878/13884/13890/13896/13902/13908/13910/
13914/13920/13926/13932/13938/13944/13950/13956/13962/13968/13974/13980/13986/13992/13998/14004/14010/14016/14022/14028/
14034/14040/14046/14052/14058/14064/14070/14076/14082/14088/14094/14100/14106/14112/14118/14124/14130/14136/14142/14146/
14148/14154/14156/14160/14166/14172/14178/14184/14190/14196/14202/14208/14214/14220/14226/14232/14238/14244/14250/14256/
14262/14268/14274/14280/14286/14292/14298/14304/14310/14316/14322/14328/14334/14340/14346/14352/14358/14364/14370/14376/
14382/14388/14394/14400/14406/14412/14418/14424/14430/14436/14442/14448/14454/14460/14466/14472/14478/14484/14490/14496/
14502/14508/14514/14520/14526/14532/14538/14540/14544/14550/14556/14562/14568/14574/14580/14586/14592/14598/14604/14610/
14616/14622/14628/14634/14636/14640/14646/14652/14658/14664/14670/14676/14682/14688/14694/14700/14706/14712/14718/14720/
14724/14730/14736/14742/14748/14754/14760/14766/14772/14778/14784/14790/14796/14802/14808/14814/14820/14826/14832/14838/
14844/14850/14856/14862/14868/14874/14880/14886/14892/14898/14904/14910/14916/14922/14928/14934/14940/14946/14952/14958/
14964/14970/14976/14982/14988/14994/15000/15006/15012/15018/15024/15030/15036/15042/15048/15054/15060/15066/15072/15078/
15084/15090/15096/15102/15108/15114/15120/15126/15132/15138/15144/15150/15156/15162/15168/15174/15180/15186/15192/15196/
15198/15204/15210/15216/15222/15228/15234/15240/15246/15252/15258/15264/15266/15270/15276/15282/15288/15294/15300/15306/
15312/15318/15324/15330/15336/15342/15348/15354/15360/15366/15372/15378/15380/15384/15390/15396/15402/15408/15414/15420/
15426/15432/15438/15444/15450/15456/15462/15468/15470/15474/15480/15486/15492/15498/15504/15510/15516/15522/15528/15534/
15540/15546/15552/15558/15564/15570/15576/15582/15588/15594/15600/15606/15612/15618/15624/15630/15636/15642/15648/15654/
15660/15666/15672/15678/15684/15690/15696/15702/15708/15714/15720/15726/15732/15736/15738/15744/15750/15756/15762/15768/
15774/15780/15786/15792/15798/15804/15810/15816/15822/15828/15834/15840/15846/15852/15858/15864/15870/15876/15882/15888/
15894/15900/15906/15910/15912/15918/15924/15930/15936/15942/15948/15954/15960/15966/15972/15978/15984/15990/15996/16002/
16008/16014/16020/16026/16032/16038/16044/16050/16056/16060/16062/16068/16074/16080/16086/16092/16098/16104/16110/16116/
16122/16128/16134/16140/16146/16152/16158/16164/16170/16176/16182/16186/16188/16190/16194/16200/16206/16212/16218/16224/
16230/16236/16242/16248/16254/16260/16266/16270/16272/16278/16284/16290/16296/16302/16308/16314/16320/16326/16332/16338/
16344/16350/16356/16362/16368/16374/16380/16386/16392/16398/16404/16410/16416/16422/16428/16434/16440/16446/16452/16458/
16464/16470/16476/16482/16488/16494/16500/16506/16512/16518/16524/16530/16536/16542/16548/16554/16560/16566/16572/16578/
16584/16590/16596/16602/16608/16614/16620/16626/16632/16638/16644/16650/16656/16662/16668/16674/16680/16686/16692/16698/
16704/16710/16716/16722/16728/16734/16740/16746/16752/16758/16764/16770/16776/16782/16788/16794/16800/16806/16812/16818/
16824/16830/16836/16842/16848/16854/16860/16866/16872/16878/16884/16886/16890/16896/16902/16908/16914/16920/16926/16932/
16938/16944/16950/16956/16962/16968/16974/16980/16986/16992/16998/17004/17010/17016/17022/17028/17030/17034/17040/17046/
17052/17058/17064/17070/17076/17082/17088/17094/17100/17106/17112/17118/17124/17130/17136/17142/17148/17154/17160/17166/
17172/17178/17184/17186/17190/17196/17202/17208/17214/17220/17226/17232/17238/17244/17250/17256/17262/17268/17274/17280/
17286/17292/17296/17298/17304/17310/17316/17322/17328/17334/17340/17346/17352/17358/17364/17370/17376/17380/17382/17388/
17394/17400/17406/17412/17418/17424/17430/17436/17442/17448/17454/17460/17466/17472/17478/17484/17490/17496/17502/17508/
17514/17520/17526/17532/17538/17544/17550/17556/17562/17568/17574/17576/17580/17586/17592/17598/17604/17610/17616/17622/
17628/17634/17640/17646/17652/17658/17664/17670/17676/17682/17688/17694/17700/17706/17712/17718/17724/17730/17736/17742/
17748/17754/17760/17766/17772/17778/17784/17786/17790/17796/17802/17808/17814/17820/17826/17832/17838/17844/17850/17856/
17862/17868/17874/17880/17886/17892/17898/17904/17906/17910/17916/17922/17928/17934/17940/17946/17952/17958/17964/17970/
17976/17982/17988/17994/18000/18006/18012/18018/18024/18030/18036/18042/18048/18054/18060/18066/18072/18078/18084/18090/
18096/18102/18108/18114/18120/18126/18132/18138/18144/18150/18156/18162/18168/18174/18180/18186/18192/18198/18204/18210/
18216/18222/18228/18234/18240/18246/18252/18258/18264/18270/18276/18282/18288/18294/18300/18306/18312/18318/18324/18330/
18336/18342/18348/18354/18360/18366/18372/18378/18384/18390/18396/18402/18408/18414/18420/18426/18430/18432/18438/18444/
18450/18456/18462/18468/18474/18480/18486/18492/18498/18504/18510/18516/18522/18528/18534/18540/18546/18552/18558/18564/
18570/18576/18582/18588/18594/18600/18606/18612/18618/18624/18630/18636/18642/18648/18654/18660/18666/18672/18678/18684/
18690/18696/18702/18708/18714/18720/18726/18732/18738/18744/18746/18750/18756/18762/18768/18774/18780/18786/18792/18798/
18804/18810/18816/18822/18828/18834/18840/18846/18852/18858/18864/18870/18876/18882/18888/18894/18900/18906/18912/18918/
18924/18930/18936/18942/18948/18954/18960/18966/18972/18978/18984/18990/18996/19002/19008/19014/19020/19026/19032/19038/
19044/19050/19056/19062/19068/19074/19076/19080/19086/19092/19098/19104/19110/19116/19122/19128/19134/19140/19146/19152/
19158/19160/19164/19170/19176/19182/19188/19194/19200/19206/19212/19218/19224/19230/19236/19242/19248/19254/19260/19266/
19272/19278/19284/19290/19296/19302/19308/19314/19320/19326/19332/19338/19344/19350/19356/19362/19368/19374/19376/19380/
19386/19392/19398/19404/19410/19416/19422/19428/19434/19440/19446/19452/19458/19460/19464/19470/19476/19482/19488/19494/
19500/19506/19512/19518/19524/19530/19536/19542/19548/19554/19560/19566/19572/19578/19580/19584/19590/19596/19602/19606/
19608/19614/19620/19626/19632/19638/19644/19650/19656/19662/19668/19674/19680/19686/19692/19698/19704/19710/19716/19722/
19728/19734/19740/19746/19752/19756/19758/19764/19770/19776/19782/19788/19794/19800/19806/19812/19818/19824/19830/19836/
19842/19848/19854/19860/19866/19872/19878/19884/19890/19896/19902/19908/19914/19916/19920/19926/19932/19938/19944/19950/
19956/19962/19968/19974/19980/19986/19992/19998/

---

作者: ysr    时间: 2021-12-29 05:00


20000~30000有77486组蔡氏偶数有1723个不同的偶数2m=20004p1=547p2=19457p3=20551p4=39461
2m=20004p1=1217p2=18787p3=21221p4=38791
2m=20004p1=1747p2=18257p3=21751p4=38261
2m=20004p1=2687p2=17317p3=22691p4=37321
2m=20004p1=3557p2=16447p3=23561p4=36451
2m=20004p1=6427p2=13577p3=26431p4=33581
2m=20004p1=6857p2=13147p3=26861p4=33151
2m=20004p1=7477p2=12527p3=27481p4=32531
2m=20004p1=12527p2=7477p3=32531p4=27481
2m=20004p1=13147p2=6857p3=33151p4=26861
2m=20004p1=13577p2=6427p3=33581p4=26431
2m=20004p1=16447p2=3557p3=36451p4=23561
2m=20004p1=17317p2=2687p3=37321p4=22691
2m=20004p1=18257p2=1747p3=38261p4=21751
2m=20004p1=18787p2=1217p3=38791p4=21221
2m=20004p1=19457p2=547p3=39461p4=20551
2m=20010p1=37p2=19973p3=20047p4=39983
2m=20010p1=191p2=19819p3=20201p4=39829
2m=20010p1=251p2=19759p3=20261p4=39769
2m=20010p1=349p2=19661p3=20359p4=39671
2m=20010p1=401p2=19609p3=20411p4=39619
2m=20010p1=1097p2=18913p3=21107p4=38923
2m=20010p1=1217p2=18793p3=21227p4=38803
2m=20010p1=1237p2=18773p3=21247p4=38783
2m=20010p1=1559p2=18451p3=21569p4=38461
2m=20010p1=1567p2=18443p3=21577p4=38453
2m=20010p1=1951p2=18059p3=21961p4=38069
2m=20010p1=2029p2=17981p3=22039p4=37991
2m=20010p1=2053p2=17957p3=22063p4=37967
2m=20010p1=2273p2=17737p3=22283p4=37747
2m=20010p1=2459p2=17551p3=22469p4=37561
2m=20010p1=2659p2=17351p3=22669p4=37361
2m=20010p1=2711p2=17299p3=22721p4=37309
2m=20010p1=2963p2=17047p3=22973p4=37057
2m=20010p1=3089p2=16921p3=23099p4=36931
2m=20010p1=3121p2=16889p3=23131p4=36899
2m=20010p1=3187p2=16823p3=23197p4=36833
2m=20010p1=3449p2=16561p3=23459p4=36571
2m=20010p1=3677p2=16333p3=23687p4=36343
2m=20010p1=3779p2=16231p3=23789p4=36241
2m=20010p1=3947p2=16063p3=23957p4=36073
2m=20010p1=4051p2=15959p3=24061p4=35969
2m=20010p1=4219p2=15791p3=24229p4=35801
2m=20010p1=4349p2=15661p3=24359p4=35671
2m=20010p1=4583p2=15427p3=24593p4=35437
2m=20010p1=4909p2=15101p3=24919p4=35111
2m=20010p1=5179p2=14831p3=25189p4=34841
2m=20010p1=5591p2=14419p3=25601p4=34429
2m=20010p1=5669p2=14341p3=25679p4=34351
2m=20010p1=5683p2=14327p3=25693p4=34337
2m=20010p1=6089p2=13921p3=26099p4=33931
2m=20010p1=6131p2=13879p3=26141p4=33889
2m=20010p1=6299p2=13711p3=26309p4=33721
2m=20010p1=6397p2=13613p3=26407p4=33623
2m=20010p1=6673p2=13337p3=26683p4=33347
2m=20010p1=6719p2=13291p3=26729p4=33301
2m=20010p1=7187p2=12823p3=27197p4=32833
2m=20010p1=7937p2=12073p3=27947p4=32083
2m=20010p1=8171p2=11839p3=28181p4=31849
2m=20010p1=8377p2=11633p3=28387p4=31643
2m=20010p1=8539p2=11471p3=28549p4=31481
2m=20010p1=8693p2=11317p3=28703p4=31327
2m=20010p1=8861p2=11149p3=28871p4=31159
2m=20010p1=8951p2=11059p3=28961p4=31069
2m=20010p1=9007p2=11003p3=29017p4=31013
2m=20010p1=9127p2=10883p3=29137p4=30893
2m=20010p1=9323p2=10687p3=29333p4=30697
2m=20010p1=9907p2=10103p3=29917p4=30113
2m=20010p1=9949p2=10061p3=29959p4=30071
2m=20010p1=9973p2=10037p3=29983p4=30047
2m=20010p1=10037p2=9973p3=30047p4=29983
2m=20010p1=10061p2=9949p3=30071p4=29959
2m=20010p1=10103p2=9907p3=30113p4=29917
2m=20010p1=10687p2=9323p3=30697p4=29333
2m=20010p1=10883p2=9127p3=30893p4=29137
2m=20010p1=11003p2=9007p3=31013p4=29017
2m=20010p1=11059p2=8951p3=31069p4=28961
2m=20010p1=11149p2=8861p3=31159p4=28871
2m=20010p1=11317p2=8693p3=31327p4=28703
2m=20010p1=11471p2=8539p3=31481p4=28549
2m=20010p1=11633p2=8377p3=31643p4=28387
2m=20010p1=11839p2=8171p3=31849p4=28181
2m=20010p1=12073p2=7937p3=32083p4=27947
2m=20010p1=12823p2=7187p3=32833p4=27197
2m=20010p1=13291p2=6719p3=33301p4=26729
2m=20010p1=13337p2=6673p3=33347p4=26683
2m=20010p1=13613p2=6397p3=33623p4=26407
2m=20010p1=13711p2=6299p3=33721p4=26309
2m=20010p1=13879p2=6131p3=33889p4=26141
2m=20010p1=13921p2=6089p3=33931p4=26099
2m=20010p1=14327p2=5683p3=34337p4=25693
2m=20010p1=14341p2=5669p3=34351p4=25679
2m=20010p1=14419p2=5591p3=34429p4=25601
2m=20010p1=14831p2=5179p3=34841p4=25189
2m=20010p1=15101p2=4909p3=35111p4=24919
2m=20010p1=15427p2=4583p3=35437p4=24593
2m=20010p1=15661p2=4349p3=35671p4=24359
2m=20010p1=15791p2=4219p3=35801p4=24229
2m=20010p1=15959p2=4051p3=35969p4=24061
2m=20010p1=16063p2=3947p3=36073p4=23957
2m=20010p1=16231p2=3779p3=36241p4=23789
2m=20010p1=16333p2=3677p3=36343p4=23687
2m=20010p1=16561p2=3449p3=36571p4=23459
2m=20010p1=16823p2=3187p3=36833p4=23197
2m=20010p1=16889p2=3121p3=36899p4=23131
2m=20010p1=16921p2=3089p3=36931p4=23099
2m=20010p1=17047p2=2963p3=37057p4=22973
2m=20010p1=17299p2=2711p3=37309p4=22721
2m=20010p1=17351p2=2659p3=37361p4=22669
2m=20010p1=17551p2=2459p3=37561p4=22469
2m=20010p1=17737p2=2273p3=37747p4=22283
2m=20010p1=17957p2=2053p3=37967p4=22063
2m=20010p1=17981p2=2029p3=37991p4=22039
2m=20010p1=18059p2=1951p3=38069p4=21961
2m=20010p1=18443p2=1567p3=38453p4=21577
2m=20010p1=18451p2=1559p3=38461p4=21569
2m=20010p1=18773p2=1237p3=38783p4=21247
2m=20010p1=18793p2=1217p3=38803p4=21227
2m=20010p1=18913p2=1097p3=38923p4=21107
2m=20010p1=19609p2=401p3=39619p4=20411
2m=20010p1=19661p2=349p3=39671p4=20359
2m=20010p1=19759p2=251p3=39769p4=20261
2m=20010p1=19819p2=191p3=39829p4=20201
2m=20010p1=19973p2=37p3=39983p4=20047
2m=20016p1=463p2=19553p3=20479p4=39569
2m=20016p1=1303p2=18713p3=21319p4=38729
2m=20016p1=1583p2=18433p3=21599p4=38449
2m=20016p1=2333p2=17683p3=22349p4=37699
2m=20016p1=3253p2=16763p3=23269p4=36779
2m=20016p1=3323p2=16693p3=23339p4=36709
2m=20016p1=6833p2=13183p3=26849p4=33199
2m=20016p1=7673p2=12343p3=27689p4=32359
2m=20016p1=12343p2=7673p3=32359p4=27689
2m=20016p1=13183p2=6833p3=33199p4=26849
2m=20016p1=16693p2=3323p3=36709p4=23339
2m=20016p1=16763p2=3253p3=36779p4=23269
2m=20016p1=17683p2=2333p3=37699p4=22349
2m=20016p1=18433p2=1583p3=38449p4=21599
2m=20016p1=18713p2=1303p3=38729p4=21319
2m=20016p1=19553p2=463p3=39569p4=20479
2m=20022p1=881p2=19141p3=20903p4=39163
2m=20022p1=941p2=19081p3=20963p4=39103
2m=20022p1=2551p2=17471p3=22573p4=37493
2m=20022p1=2621p2=17401p3=22643p4=37423
2m=20022p1=3041p2=16981p3=23063p4=37003
2m=20022p1=3121p2=16901p3=23143p4=36923
2m=20022p1=3571p2=16451p3=23593p4=36473
2m=20022p1=5281p2=14741p3=25303p4=34763
2m=20022p1=5431p2=14591p3=25453p4=34613
2m=20022p1=5741p2=14281p3=25763p4=34303
2m=20022p1=6271p2=13751p3=26293p4=33773
2m=20022p1=6691p2=13331p3=26713p4=33353
2m=20022p1=7741p2=12281p3=27763p4=32303
2m=20022p1=12281p2=7741p3=32303p4=27763
2m=20022p1=13331p2=6691p3=33353p4=26713
2m=20022p1=13751p2=6271p3=33773p4=26293
2m=20022p1=14281p2=5741p3=34303p4=25763
2m=20022p1=14591p2=5431p3=34613p4=25453
2m=20022p1=14741p2=5281p3=34763p4=25303
2m=20022p1=16451p2=3571p3=36473p4=23593
2m=20022p1=16901p2=3121p3=36923p4=23143
2m=20022p1=16981p2=3041p3=37003p4=23063
2m=20022p1=17401p2=2621p3=37423p4=22643
2m=20022p1=17471p2=2551p3=37493p4=22573
2m=20022p1=19081p2=941p3=39103p4=20963
2m=20022p1=19141p2=881p3=39163p4=20903
2m=20028p1=1489p2=18539p3=21517p4=38567
2m=20028p1=2539p2=17489p3=22567p4=37517
2m=20028p1=2609p2=17419p3=22637p4=37447
2m=20028p1=2999p2=17029p3=23027p4=37057
2m=20028p1=4219p2=15809p3=24247p4=35837
2m=20028p1=6199p2=13829p3=26227p4=33857
2m=20028p1=7369p2=12659p3=27397p4=32687
2m=20028p1=12659p2=7369p3=32687p4=27397
2m=20028p1=13829p2=6199p3=33857p4=26227
2m=20028p1=15809p2=4219p3=35837p4=24247
2m=20028p1=17029p2=2999p3=37057p4=23027
2m=20028p1=17419p2=2609p3=37447p4=22637
2m=20028p1=17489p2=2539p3=37517p4=22567
2m=20028p1=18539p2=1489p3=38567p4=21517
2m=20034p1=37p2=19997p3=20071p4=40031
2m=20034p1=167p2=19867p3=20201p4=39901
2m=20034p1=307p2=19727p3=20341p4=39761
2m=20034p1=607p2=19427p3=20641p4=39461
2m=20034p1=2707p2=17327p3=22741p4=37361
2m=20034p1=4217p2=15817p3=24251p4=35851
2m=20034p1=4817p2=15217p3=24851p4=35251
2m=20034p1=5087p2=14947p3=25121p4=34981
2m=20034p1=6857p2=13177p3=26891p4=33211
2m=20034p1=6997p2=13037p3=27031p4=33071
2m=20034p1=7507p2=12527p3=27541p4=32561
2m=20034p1=7577p2=12457p3=27611p4=32491
2m=20034p1=7927p2=12107p3=27961p4=32141
2m=20034p1=8317p2=11717p3=28351p4=31751
2m=20034p1=8537p2=11497p3=28571p4=31531
2m=20034p1=8837p2=11197p3=28871p4=31231
2m=20034p1=9187p2=10847p3=29221p4=30881
2m=20034p1=10847p2=9187p3=30881p4=29221
2m=20034p1=11197p2=8837p3=31231p4=28871
2m=20034p1=11497p2=8537p3=31531p4=28571
2m=20034p1=11717p2=8317p3=31751p4=28351
2m=20034p1=12107p2=7927p3=32141p4=27961
2m=20034p1=12457p2=7577p3=32491p4=27611
2m=20034p1=12527p2=7507p3=32561p4=27541
2m=20034p1=13037p2=6997p3=33071p4=27031
2m=20034p1=13177p2=6857p3=33211p4=26891
2m=20034p1=14947p2=5087p3=34981p4=25121
2m=20034p1=15217p2=4817p3=35251p4=24851
2m=20034p1=15817p2=4217p3=35851p4=24251
2m=20034p1=17327p2=2707p3=37361p4=22741
2m=20034p1=19427p2=607p3=39461p4=20641
2m=20034p1=19727p2=307p3=39761p4=20341
2m=20034p1=19867p2=167p3=39901p4=20201
2m=20034p1=19997p2=37p3=40031p4=20071
2m=20040p1=67p2=19973p3=20107p4=40013
2m=20040p1=179p2=19861p3=20219p4=39901
2m=20040p1=353p2=19687p3=20393p4=39727
2m=20040p1=571p2=19469p3=20611p4=39509
2m=20040p1=919p2=19121p3=20959p4=39161
2m=20040p1=1061p2=18979p3=21101p4=39019
2m=20040p1=1523p2=18517p3=21563p4=38557
2m=20040p1=1997p2=18043p3=22037p4=38083
2m=20040p1=2027p2=18013p3=22067p4=38053
2m=20040p1=2069p2=17971p3=22109p4=38011
2m=20040p1=2083p2=17957p3=22123p4=37997
2m=20040p1=2531p2=17509p3=22571p4=37549
2m=20040p1=2657p2=17383p3=22697p4=37423
2m=20040p1=2837p2=17203p3=22877p4=37243
2m=20040p1=2963p2=17077p3=23003p4=37117
2m=20040p1=3019p2=17021p3=23059p4=37061
2m=20040p1=3299p2=16741p3=23339p4=36781
2m=20040p1=3623p2=16417p3=23663p4=36457
2m=20040p1=4657p2=15383p3=24697p4=35423
2m=20040p1=5197p2=14843p3=25237p4=34883
2m=20040p1=5261p2=14779p3=25301p4=34819
2m=20040p1=5407p2=14633p3=25447p4=34673
2m=20040p1=5413p2=14627p3=25453p4=34667
2m=20040p1=6359p2=13681p3=26399p4=33721
2m=20040p1=7297p2=12743p3=27337p4=32783
2m=20040p1=7759p2=12281p3=27799p4=32321
2m=20040p1=7877p2=12163p3=27917p4=32203
2m=20040p1=8423p2=11617p3=28463p4=31657
2m=20040p1=8689p2=11351p3=28729p4=31391
2m=20040p1=8753p2=11287p3=28793p4=31327
2m=20040p1=11287p2=8753p3=31327p4=28793
2m=20040p1=11351p2=8689p3=31391p4=28729
2m=20040p1=11617p2=8423p3=31657p4=28463
2m=20040p1=12163p2=7877p3=32203p4=27917
2m=20040p1=12281p2=7759p3=32321p4=27799
2m=20040p1=12743p2=7297p3=32783p4=27337
2m=20040p1=13681p2=6359p3=33721p4=26399
2m=20040p1=14627p2=5413p3=34667p4=25453
2m=20040p1=14633p2=5407p3=34673p4=25447
2m=20040p1=14779p2=5261p3=34819p4=25301
2m=20040p1=14843p2=5197p3=34883p4=25237
2m=20040p1=15383p2=4657p3=35423p4=24697
2m=20040p1=16417p2=3623p3=36457p4=23663
2m=20040p1=16741p2=3299p3=36781p4=23339
2m=20040p1=17021p2=3019p3=37061p4=23059
2m=20040p1=17077p2=2963p3=37117p4=23003
2m=20040p1=17203p2=2837p3=37243p4=22877
2m=20040p1=17383p2=2657p3=37423p4=22697
2m=20040p1=17509p2=2531p3=37549p4=22571
2m=20040p1=17957p2=2083p3=37997p4=22123
2m=20040p1=17971p2=2069p3=38011p4=22109
2m=20040p1=18013p2=2027p3=38053p4=22067
2m=20040p1=18043p2=1997p3=38083p4=22037
2m=20040p1=18517p2=1523p3=38557p4=21563
2m=20040p1=18979p2=1061p3=39019p4=21101
2m=20040p1=19121p2=919p3=39161p4=20959
2m=20040p1=19469p2=571p3=39509p4=20611
2m=20040p1=19687p2=353p3=39727p4=20393
2m=20040p1=19861p2=179p3=39901p4=20219
2m=20040p1=19973p2=67p3=40013p4=20107
2m=20046p1=83p2=19963p3=20129p4=40009
2m=20046p1=673p2=19373p3=20719p4=39419
2m=20046p1=883p2=19163p3=20929p4=39209
2m=20046p1=1453p2=18593p3=21499p4=38639
2m=20046p1=1523p2=18523p3=21569p4=38569
2m=20046p1=3163p2=16883p3=23209p4=36929
2m=20046p1=3823p2=16223p3=23869p4=36269
2m=20046p1=3863p2=16183p3=23909p4=36229
2m=20046p1=4813p2=15233p3=24859p4=35279
2m=20046p1=6353p2=13693p3=26399p4=33739
2m=20046p1=8233p2=11813p3=28279p4=31859
2m=20046p1=8623p2=11423p3=28669p4=31469
2m=20046p1=8933p2=11113p3=28979p4=31159
2m=20046p1=11113p2=8933p3=31159p4=28979
2m=20046p1=11423p2=8623p3=31469p4=28669
2m=20046p1=11813p2=8233p3=31859p4=28279
2m=20046p1=13693p2=6353p3=33739p4=26399
2m=20046p1=15233p2=4813p3=35279p4=24859
2m=20046p1=16183p2=3863p3=36229p4=23909
2m=20046p1=16223p2=3823p3=36269p4=23869
2m=20046p1=16883p2=3163p3=36929p4=23209
2m=20046p1=18523p2=1523p3=38569p4=21569
2m=20046p1=18593p2=1453p3=38639p4=21499
2m=20046p1=19163p2=883p3=39209p4=20929
2m=20046p1=19373p2=673p3=39419p4=20719
2m=20046p1=19963p2=83p3=40009p4=20129
2m=20052p1=971p2=19081p3=21023p4=39133
2m=20052p1=1381p2=18671p3=21433p4=38723
2m=20052p1=1511p2=18541p3=21563p4=38593
2m=20052p1=2141p2=17911p3=22193p4=37963
2m=20052p1=5021p2=15031p3=25073p4=35083
2m=20052p1=5591p2=14461p3=25643p4=34513
2m=20052p1=6211p2=13841p3=26263p4=33893
2m=20052p1=6761p2=13291p3=26813p4=33343
2m=20052p1=8231p2=11821p3=28283p4=31873
2m=20052p1=9781p2=10271p3=29833p4=30323
2m=20052p1=10271p2=9781p3=30323p4=29833
2m=20052p1=11821p2=8231p3=31873p4=28283
2m=20052p1=13291p2=6761p3=33343p4=26813
2m=20052p1=13841p2=6211p3=33893p4=26263
2m=20052p1=14461p2=5591p3=34513p4=25643
2m=20052p1=15031p2=5021p3=35083p4=25073
2m=20052p1=17911p2=2141p3=37963p4=22193
2m=20052p1=18541p2=1511p3=38593p4=21563
2m=20052p1=18671p2=1381p3=38723p4=21433
2m=20052p1=19081p2=971p3=39133p4=21023
2m=20058p1=239p2=19819p3=20297p4=39877
2m=20058p1=449p2=19609p3=20507p4=39667
2m=20058p1=3169p2=16889p3=23227p4=36947
2m=20058p1=4139p2=15919p3=24197p4=35977
2m=20058p1=4789p2=15269p3=24847p4=35327
2m=20058p1=6659p2=13399p3=26717p4=33457
2m=20058p1=7789p2=12269p3=27847p4=32327
2m=20058p1=8779p2=11279p3=28837p4=31337
2m=20058p1=11279p2=8779p3=31337p4=28837
2m=20058p1=12269p2=7789p3=32327p4=27847
2m=20058p1=13399p2=6659p3=33457p4=26717
2m=20058p1=15269p2=4789p3=35327p4=24847
2m=20058p1=15919p2=4139p3=35977p4=24197
2m=20058p1=16889p2=3169p3=36947p4=23227
2m=20058p1=19609p2=449p3=39667p4=20507
2m=20058p1=19819p2=239p3=39877p4=20297
2m=20064p1=367p2=19697p3=20431p4=39761
2m=20064p1=617p2=19447p3=20681p4=39511
2m=20064p1=1277p2=18787p3=21341p4=38851
2m=20064p1=1777p2=18287p3=21841p4=38351
2m=20064p1=1847p2=18217p3=21911p4=38281
2m=20064p1=2437p2=17627p3=22501p4=37691
2m=20064p1=2687p2=17377p3=22751p4=37441
2m=20064p1=2957p2=17107p3=23021p4=37171
2m=20064p1=4327p2=15737p3=24391p4=35801
2m=20064p1=5347p2=14717p3=25411p4=34781
2m=20064p1=5407p2=14657p3=25471p4=34721
2m=20064p1=5867p2=14197p3=25931p4=34261
2m=20064p1=6257p2=13807p3=26321p4=33871
2m=20064p1=6737p2=13327p3=26801p4=33391
2m=20064p1=6917p2=13147p3=26981p4=33211
2m=20064p1=7517p2=12547p3=27581p4=32611
2m=20064p1=7687p2=12377p3=27751p4=32441
2m=20064p1=8597p2=11467p3=28661p4=31531
2m=20064p1=8807p2=11257p3=28871p4=31321
2m=20064p1=9467p2=10597p3=29531p4=30661
2m=20064p1=10597p2=9467p3=30661p4=29531
2m=20064p1=11257p2=8807p3=31321p4=28871
2m=20064p1=11467p2=8597p3=31531p4=28661
2m=20064p1=12377p2=7687p3=32441p4=27751
2m=20064p1=12547p2=7517p3=32611p4=27581
2m=20064p1=13147p2=6917p3=33211p4=26981
2m=20064p1=13327p2=6737p3=33391p4=26801
2m=20064p1=13807p2=6257p3=33871p4=26321
2m=20064p1=14197p2=5867p3=34261p4=25931
2m=20064p1=14657p2=5407p3=34721p4=25471
2m=20064p1=14717p2=5347p3=34781p4=25411
2m=20064p1=15737p2=4327p3=35801p4=24391
2m=20064p1=17107p2=2957p3=37171p4=23021
2m=20064p1=17377p2=2687p3=37441p4=22751
2m=20064p1=17627p2=2437p3=37691p4=22501
2m=20064p1=18217p2=1847p3=38281p4=21911
2m=20064p1=18287p2=1777p3=38351p4=21841
2m=20064p1=18787p2=1277p3=38851p4=21341
2m=20064p1=19447p2=617p3=39511p4=20681
2m=20064p1=19697p2=367p3=39761p4=20431
2m=20070p1=47p2=20023p3=20117p4=40093
2m=20070p1=257p2=19813p3=20327p4=39883
2m=20070p1=277p2=19793p3=20347p4=39863
2m=20070p1=1433p2=18637p3=21503p4=38707
2m=20070p1=1487p2=18583p3=21557p4=38653
2m=20070p1=1531p2=18539p3=21601p4=38609
2m=20070p1=2551p2=17519p3=22621p4=37589
2m=20070p1=3617p2=16453p3=23687p4=36523
2m=20070p1=3847p2=16223p3=23917p4=36293
2m=20070p1=3931p2=16139p3=24001p4=36209
2m=20070p1=4133p2=15937p3=24203p4=36007
2m=20070p1=4337p2=15733p3=24407p4=35803
2m=20070p1=4463p2=15607p3=24533p4=35677
2m=20070p1=4679p2=15391p3=24749p4=35461
2m=20070p1=4987p2=15083p3=25057p4=35153
2m=20070p1=5113p2=14957p3=25183p4=35027
2m=20070p1=5701p2=14369p3=25771p4=34439
2m=20070p1=5927p2=14143p3=25997p4=34213
2m=20070p1=6389p2=13681p3=26459p4=33751
2m=20070p1=6571p2=13499p3=26641p4=33569
2m=20070p1=6653p2=13417p3=26723p4=33487
2m=20070p1=6961p2=13109p3=27031p4=33179
2m=20070p1=7229p2=12841p3=27299p4=32911
2m=20070p1=7927p2=12143p3=27997p4=32213
2m=20070p1=8111p2=11959p3=28181p4=32029
2m=20070p1=8369p2=11701p3=28439p4=31771
2m=20070p1=8573p2=11497p3=28643p4=31567
2m=20070p1=8599p2=11471p3=28669p4=31541
2m=20070p1=8627p2=11443p3=28697p4=31513
2m=20070p1=8951p2=11119p3=29021p4=31189
2m=20070p1=9413p2=10657p3=29483p4=30727
2m=20070p1=9749p2=10321p3=29819p4=30391
2m=20070p1=10321p2=9749p3=30391p4=29819
2m=20070p1=10657p2=9413p3=30727p4=29483
2m=20070p1=11119p2=8951p3=31189p4=29021
2m=20070p1=11443p2=8627p3=31513p4=28697
2m=20070p1=11471p2=8599p3=31541p4=28669
2m=20070p1=11497p2=8573p3=31567p4=28643
2m=20070p1=11701p2=8369p3=31771p4=28439
2m=20070p1=11959p2=8111p3=32029p4=28181
2m=20070p1=12143p2=7927p3=32213p4=27997
2m=20070p1=12841p2=7229p3=32911p4=27299
2m=20070p1=13109p2=6961p3=33179p4=27031
2m=20070p1=13417p2=6653p3=33487p4=26723
2m=20070p1=13499p2=6571p3=33569p4=26641
2m=20070p1=13681p2=6389p3=33751p4=26459
2m=20070p1=14143p2=5927p3=34213p4=25997
2m=20070p1=14369p2=5701p3=34439p4=25771
2m=20070p1=14957p2=5113p3=35027p4=25183
2m=20070p1=15083p2=4987p3=35153p4=25057
2m=20070p1=15391p2=4679p3=35461p4=24749
2m=20070p1=15607p2=4463p3=35677p4=24533
2m=20070p1=15733p2=4337p3=35803p4=24407
2m=20070p1=15937p2=4133p3=36007p4=24203
2m=20070p1=16139p2=3931p3=36209p4=24001
2m=20070p1=16223p2=3847p3=36293p4=23917
2m=20070p1=16453p2=3617p3=36523p4=23687
2m=20070p1=17519p2=2551p3=37589p4=22621
2m=20070p1=18539p2=1531p3=38609p4=21601
2m=20070p1=18583p2=1487p3=38653p4=21557
2m=20070p1=18637p2=1433p3=38707p4=21503
2m=20070p1=19793p2=277p3=39863p4=20347
2m=20070p1=19813p2=257p3=39883p4=20327
2m=20070p1=20023p2=47p3=40093p4=20117
2m=20076p1=53p2=20023p3=20129p4=40099
2m=20076p1=283p2=19793p3=20359p4=39869
2m=20076p1=313p2=19763p3=20389p4=39839
2m=20076p1=643p2=19433p3=20719p4=39509
2m=20076p1=1063p2=19013p3=21139p4=39089
2m=20076p1=1483p2=18593p3=21559p4=38669
2m=20076p1=1523p2=18553p3=21599p4=38629
2m=20076p1=2953p2=17123p3=23029p4=37199
2m=20076p1=3853p2=16223p3=23929p4=36299
2m=20076p1=4153p2=15923p3=24229p4=35999
2m=20076p1=4253p2=15823p3=24329p4=35899
2m=20076p1=4583p2=15493p3=24659p4=35569
2m=20076p1=4813p2=15263p3=24889p4=35339
2m=20076p1=5233p2=14843p3=25309p4=34919
2m=20076p1=5393p2=14683p3=25469p4=34759
2m=20076p1=6113p2=13963p3=26189p4=34039
2m=20076p1=7103p2=12973p3=27179p4=33049

---

作者: ysr    时间: 2021-12-29 05:00


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20448/20454/20460/20466/20472/20478/20484/20490/20496/20502/20508/20514/20520/20526/20532/20538/20544/20550/20556/20562/
20568/20574/20580/20586/20592/20596/20598/20604/20610/20616/20622/20628/20634/20640/20646/20652/20658/20664/20670/20676/
20682/20688/20694/20700/20706/20712/20718/20724/20730/20736/20742/20748/20754/20760/20766/20772/20778/20784/20790/20796/
20802/20808/20814/20820/20826/20832/20838/20844/20850/20856/20862/20868/20874/20880/20886/20892/20898/20904/20910/20916/
20922/20928/20934/20940/20946/20952/20958/20964/20970/20976/20982/20988/20994/21000/21006/21012/21018/21024/21030/21036/
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21396/21402/21408/21414/21420/21426/21432/21438/21444/21450/21456/21462/21468/21474/21480/21486/21492/21496/21498/21504/
21510/21516/21520/21522/21526/21528/21534/21540/21546/21552/21558/21560/21564/21570/21576/21582/21588/21594/21600/21606/
21612/21618/21624/21630/21636/21642/21648/21654/21660/21666/21672/21678/21684/21690/21696/21702/21708/21714/21720/21726/
21732/21738/21744/21750/21756/21762/21768/21774/21780/21786/21792/21798/21804/21810/21816/21822/21828/21834/21840/21846/
21852/21858/21864/21870/21876/21882/21888/21894/21900/21906/21912/21918/21924/21930/21936/21942/21948/21954/21960/21966/
21972/21978/21984/21990/21996/22000/22002/22008/22014/22020/22026/22032/22038/22044/22050/22056/22062/22068/22074/22080/
22086/22092/22098/22104/22110/22116/22122/22126/22128/22134/22140/22146/22152/22158/22164/22170/22176/22182/22188/22194/
22200/22206/22212/22218/22224/22230/22236/22242/22248/22254/22260/22266/22272/22276/22278/22284/22290/22296/22302/22308/
22314/22320/22326/22332/22338/22344/22350/22356/22362/22368/22374/22380/22386/22392/22398/22404/22410/22416/22422/22428/
22434/22440/22446/22452/22458/22464/22470/22476/22482/22488/22494/22500/22506/22512/22518/22524/22530/22536/22542/22548/
22554/22560/22566/22570/22572/22578/22584/22590/22596/22602/22608/22614/22620/22626/22632/22638/22644/22650/22656/22662/
22668/22674/22680/22686/22692/22698/22704/22710/22716/22722/22728/22734/22740/22746/22752/22758/22764/22770/22776/22780/
22782/22788/22794/22800/22806/22812/22818/22824/22830/22836/22842/22848/22854/22860/22866/22872/22878/22884/22890/22896/
22902/22908/22914/22920/22926/22932/22938/22944/22950/22956/22962/22968/22974/22980/22986/22992/22998/23004/23010/23016/
23022/23028/23034/23040/23046/23052/23058/23064/23070/23076/23082/23088/23094/23100/23106/23112/23118/23124/23130/23136/
23142/23148/23154/23160/23166/23170/23172/23178/23184/23190/23196/23202/23208/23214/23220/23226/23232/23238/23244/23250/
23256/23262/23268/23274/23280/23286/23292/23298/23304/23310/23316/23322/23328/23334/23340/23346/23352/23358/23364/23370/
23376/23382/23388/23394/23400/23406/23412/23418/23424/23430/23436/23442/23448/23454/23460/23466/23472/23478/23484/23490/
23496/23502/23508/23514/23520/23526/23532/23538/23544/23550/23556/23562/23568/23574/23580/23586/23592/23596/23598/23604/
23610/23616/23622/23628/23634/23640/23646/23652/23658/23664/23670/23676/23682/23688/23694/23700/23706/23712/23718/23724/
23730/23736/23742/23748/23750/23754/23760/23766/23772/23778/23784/23790/23796/23802/23808/23814/23816/23820/23826/23830/
23832/23838/23844/23850/23856/23862/23868/23874/23880/23886/23890/23892/23898/23904/23910/23916/23922/23928/23934/23940/
23946/23952/23958/23964/23970/23976/23982/23988/23994/24000/24006/24012/24018/24024/24026/24030/24036/24042/24048/24054/
24060/24066/24072/24078/24080/24084/24090/24096/24100/24102/24108/24114/24120/24126/24132/24138/24144/24150/24156/24162/
24168/24174/24180/24186/24192/24198/24200/24204/24210/24216/24222/24226/24228/24234/24240/24246/24252/24258/24264/24270/
24276/24282/24288/24294/24300/24306/24312/24318/24324/24330/24336/24342/24348/24354/24360/24366/24372/24378/24384/24390/
24396/24402/24408/24410/24414/24420/24426/24432/24438/24444/24450/24456/24462/24468/24474/24480/24486/24492/24498/24504/
24510/24516/24522/24528/24530/24534/24540/24546/24552/24558/24564/24570/24576/24582/24588/24594/24600/24606/24612/24618/
24624/24630/24636/24642/24648/24654/24660/24666/24672/24678/24684/24690/24696/24702/24708/24714/24720/24726/24732/24738/
24744/24750/24756/24762/24768/24774/24780/24786/24792/24798/24804/24810/24816/24822/24828/24834/24840/24846/24852/24858/
24864/24870/24876/24882/24888/24894/24900/24906/24912/24918/24924/24930/24936/24942/24948/24954/24960/24966/24972/24978/
24984/24990/24996/25002/25008/25014/25020/25026/25032/25038/25044/25050/25056/25062/25068/25074/25080/25086/25092/25098/
25104/25110/25116/25122/25128/25134/25140/25146/25152/25158/25164/25166/25170/25176/25182/25188/25194/25200/25206/25212/
25218/25224/25230/25236/25242/25248/25250/25254/25260/25266/25272/25278/25284/25290/25296/25302/25308/25314/25320/25326/
25332/25338/25344/25350/25356/25362/25368/25374/25380/25386/25392/25398/25404/25410/25416/25422/25428/25434/25440/25446/
25452/25458/25464/25466/25470/25476/25482/25488/25494/25500/25506/25512/25518/25524/25530/25536/25542/25548/25554/25560/
25566/25572/25578/25580/25584/25586/25590/25596/25602/25608/25614/25620/25626/25632/25638/25644/25650/25656/25662/25668/
25674/25676/25680/25686/25692/25698/25704/25710/25716/25722/25728/25734/25740/25746/25752/25758/25764/25770/25776/25782/
25788/25794/25800/25806/25812/25818/25824/25830/25836/25842/25848/25854/25860/25866/25872/25878/25884/25890/25896/25902/
25908/25914/25916/25920/25926/25932/25936/25938/25944/25950/25956/25962/25968/25974/25980/25986/25992/25998/26004/26010/
26016/26022/26028/26034/26040/26046/26052/26058/26064/26070/26076/26082/26088/26094/26100/26106/26112/26118/26124/26130/
26136/26142/26148/26154/26160/26166/26172/26178/26184/26186/26190/26196/26202/26208/26214/26220/26226/26232/26238/26244/
26250/26256/26262/26268/26274/26280/26286/26292/26298/26304/26310/26316/26322/26328/26334/26340/26346/26352/26358/26364/
26370/26376/26382/26388/26394/26400/26406/26412/26418/26420/26424/26430/26436/26442/26448/26454/26460/26466/26472/26478/
26484/26490/26496/26502/26508/26514/26520/26526/26532/26538/26544/26550/26556/26562/26568/26574/26580/26586/26592/26598/
26604/26610/26616/26622/26628/26634/26640/26646/26652/26658/26664/26670/26676/26682/26688/26690/26694/26700/26706/26712/
26718/26720/26724/26730/26736/26742/26748/26754/26760/26766/26772/26778/26784/26790/26796/26802/26808/26814/26820/26826/
26832/26838/26844/26850/26856/26862/26868/26874/26880/26886/26892/26898/26904/26910/26916/26922/26928/26934/26940/26946/
26950/26952/26958/26964/26970/26976/26982/26988/26994/27000/27006/27012/27018/27024/27030/27036/27042/27048/27054/27060/
27066/27072/27078/27084/27090/27096/27102/27108/27114/27120/27126/27132/27138/27144/27150/27156/27162/27168/27174/27180/
27186/27192/27198/27204/27210/27216/27222/27228/27234/27240/27246/27252/27258/27264/27270/27276/27282/27288/27294/27300/
27306/27312/27318/27324/27330/27336/27342/27348/27354/27360/27366/27372/27378/27384/27390/27396/27402/27408/27414/27420/
27426/27432/27438/27444/27450/27456/27462/27468/27474/27480/27486/27492/27498/27504/27510/27516/27522/27528/27534/27540/
27546/27552/27558/27564/27570/27576/27582/27588/27594/27600/27606/27612/27618/27624/27630/27636/27642/27648/27654/27660/
27666/27672/27678/27684/27690/27696/27702/27708/27714/27720/27726/27732/27736/27738/27744/27750/27756/27762/27768/27774/
27780/27786/27792/27796/27798/27804/27806/27810/27816/27822/27828/27834/27840/27846/27852/27858/27864/27870/27876/27882/
27888/27894/27900/27906/27912/27918/27924/27930/27936/27942/27948/27950/27954/27960/27966/27972/27978/27984/27990/27996/
28002/28008/28014/28020/28026/28032/28038/28044/28050/28056/28062/28068/28074/28080/28086/28092/28098/28104/28110/28116/
28122/28128/28134/28140/28146/28152/28158/28164/28170/28176/28182/28188/28194/28200/28206/28212/28218/28224/28230/28236/
28242/28248/28254/28260/28266/28272/28278/28284/28286/28290/28296/28302/28308/28314/28320/28326/28332/28338/28344/28350/
28356/28362/28368/28374/28380/28386/28392/28398/28404/28406/28410/28416/28422/28428/28434/28440/28446/28452/28458/28464/
28470/28476/28482/28488/28494/28496/28500/28506/28512/28518/28524/28530/28536/28542/28548/28554/28560/28566/28572/28576/
28578/28584/28590/28596/28602/28608/28614/28620/28626/28632/28638/28644/28650/28656/28662/28666/28668/28674/28680/28686/
28692/28698/28700/28704/28710/28716/28722/28728/28734/28740/28746/28752/28758/28764/28770/28776/28782/28788/28794/28800/
28806/28812/28818/28824/28830/28836/28842/28848/28854/28860/28866/28872/28878/28884/28890/28896/28902/28908/28914/28920/
28926/28932/28938/28944/28950/28956/28962/28968/28974/28980/28986/28992/28998/29004/29010/29016/29022/29028/29030/29034/
29040/29046/29052/29058/29064/29070/29076/29082/29088/29094/29100/29106/29112/29118/29124/29130/29136/29142/29148/29154/
29160/29166/29170/29172/29178/29184/29190/29196/29202/29208/29214/29220/29226/29232/29238/29244/29250/29256/29262/29268/
29274/29280/29286/29292/29298/29304/29310/29316/29322/29328/29330/29334/29340/29346/29352/29358/29364/29370/29376/29382/
29388/29394/29400/29406/29412/29418/29424/29430/29436/29442/29448/29454/29460/29466/29472/29478/29484/29490/29496/29502/
29508/29514/29520/29526/29532/29538/29544/29550/29556/29562/29568/29574/29580/29586/29592/29598/29604/29610/29616/29622/
29628/29634/29640/29646/29652/29658/29664/29670/29676/29682/29688/29694/29700/29706/29712/29718/29724/29730/29736/29742/
29748/29754/29756/29760/29766/29772/29778/29784/29790/29796/29802/29808/29814/29820/29826/29832/29838/29844/29850/29856/
29862/29868/29874/29880/29886/29892/29898/29904/29910/29916/29922/29928/29934/29940/29946/29952/29958/29964/29970/29976/
29982/29988/29994/30000/

---

作者: ysr    时间: 2021-12-30 01:48
程序已经调试，修改，结果正确，欢迎批评指导！欢迎沟通交流！

---

作者: 蔡家雄    时间: 2021-12-30 11:30
猜想

若 m 为正整数，p1 , p2  均为素数，

则 42m=素数(14m+p1)+素数(14m+p2) 均有解。

这个, 2m <= 10^5 ，无一反例。

---

作者: 蔡家雄    时间: 2021-12-30 11:44
猜想

若 R , p1 , p2  均为素数，

则 48R=素数(16R+p1)+素数(16R+p2) 均有解。

这个，ysr ：你能验证到 素数 R <= 10^4 吗？？

显示：R=?  16R=?  p1=?  p2=?  16R+p1=?  16R+p2=?

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作者: ysr    时间: 2021-12-31 18:46
100内有2组蔡氏偶数有25个不同的偶数R=11 16R=176p1=3p2=173p3=179p4=349
R=101 16R=1616p1=3p2=1613p3=1619p4=3229

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作者: ysr    时间: 2021-12-31 18:47


代码如下：

Private Sub Command1_Click()
'研究某数蔡氏素数的程序
Dim a, b
a = Val(Text1)
a1 = a
q = Val(Text2)
m = Val(a)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If
s = 0
Do While a <= q

Do While InStr(fenjieyinzi0(Val(a)), "*") > 0
a = a + 2
Loop
m = a
p1 = 3
p3 = Val(p1 + 16 * m)
Do While InStr(fenjieyinzi0(Val(p3)), "*") > 0 Or InStr(fenjieyinzi0(Val(p1)), "*") > 0
p1 = p1 + 2
p3 = Val(p1 + 16 * m)
Loop
p2 = 3
p4 = Val(p2 + 16 * m)
Do While InStr(fenjieyinzi0(Val(p2)), "*") > 0 Or InStr(fenjieyinzi0(Val(p4)), "*") > 0 Or Val(p3 + p4) < Val(48 * m)
p2 = p2 + 2
p4 = Val(p2 + 16 * m)
Loop

Print m, p1, p2, p3, p4
If Val(48 * m) = Val(p3 + p4) Then
Text3 = Text3 & "R=" & m & " 16R=" & Val(16 * m) & " p1=" & p1 & " p2=" & p2 & " p3=" & p3 & " p4=" & p4 & vbCrLf
s = s + 1

Else
s103 = s103 & m & "/"
s1 = s1 + 1
End If

a = a + 2

Loop

Text4 = s103
Combo1 = q & "内有" & s & "组蔡氏偶数48R，有" & Val(s + s1) & "个不同的偶数: " & Text3

End Sub

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作者: ysr    时间: 2021-12-31 18:50


1000内有3组蔡氏偶数有168个不同的偶数R=11 16R=176  p1=3  p2=173  p3=179  p4=349
R=101 16R=1616  p1=3  p2=1613  p3=1619  p4=3229
R=641 16R=10256  p1=3  p2=10253  p3=10259  p4=20509

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作者: ysr    时间: 2021-12-31 19:55
10000内有9组蔡氏偶数48R，有1229个不同的偶数R=11 16R=176 p1=3 p2=173 p3=179 p4=349
R=101 16R=1616 p1=3 p2=1613 p3=1619 p4=3229
R=641 16R=10256 p1=3 p2=10253 p3=10259 p4=20509
R=1621 16R=25936 p1=3 p2=25933 p3=25939 p4=51869
R=2531 16R=40496 p1=3 p2=40493 p3=40499 p4=80989
R=2551 16R=40816 p1=3 p2=40813 p3=40819 p4=81629
R=4651 16R=74416 p1=3 p2=74413 p3=74419 p4=148829
R=5531 16R=88496 p1=3 p2=88493 p3=88499 p4=176989
R=8681 16R=138896 p1=3 p2=138893 p3=138899 p4=277789

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作者: 蔡家雄    时间: 2021-12-31 20:16
是不是所有的 R ，48R 都有解 ？？？

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