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数论问题巅峰对决

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 楼主| 发表于 2021-5-23 09:46 | 显示全部楼层
则x=4016-1=4015.
代入公式得y*A/4=267771,
更小了,额,与x的值成反比例的。
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 楼主| 发表于 2021-5-23 20:01 | 显示全部楼层

1与37993之间打头的素数有560组偶数1443497406的哥猜素数和对:(用时18.85156秒)
/23/1443497383
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发表于 2021-6-7 16:46 | 显示全部楼层
本帖最后由 重生888@ 于 2021-6-7 16:50 编辑

楼主先生好!偶数14000000010地素数对真值您能求出吗?(只要总数)求帮助,谢谢!
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 楼主| 发表于 2021-6-7 16:50 | 显示全部楼层
重生888@ 发表于 2021-6-7 08:46
楼主先生好!偶数14000000020地素数对真值您能求出吗?(只要总数)求帮助,谢谢!

这个才11位数,能求出来总数,但程序慢,得几个小时,上班呢,在单位电脑上试试吧,还要不影响工作,消耗时间更长。

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别浪费资源了  发表于 2021-6-8 07:57
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发表于 2021-6-7 17:09 | 显示全部楼层
ysr 发表于 2021-6-7 16:50
这个才11位数,能求出来总数,但程序慢,得几个小时,上班呢,在单位电脑上试试吧,还要不影响工作,消耗 ...

谢谢!是14000000010这个数,不是14000000020;不急,有时间再帮忙。
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 楼主| 发表于 2021-6-7 17:13 | 显示全部楼层
14000000010=2*3*5*79*293*20161该偶数能被3整除且素因子个数多,总素数和对会很多。
14000000020=2*2*5*700000001而该偶数不能被3整除且不相同的素因子个数没有超过3个,所以,素数和对较少。
√14000000010=118321,先算一下118321内的素数能产生几对该偶数的素数和对:
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 楼主| 发表于 2021-6-7 17:38 | 显示全部楼层
1与118321之间打头的素数有1709组偶数14000000010的哥猜素数和对:(用时1128.648秒)
/19/13999999991
/41/13999999969
/43/13999999967
/67/13999999943
/107/13999999903
/109/13999999901
/127/13999999883
/131/13999999879
/151/13999999859
/173/13999999837
/181/13999999829
/211/13999999799
/257/13999999753
/331/13999999679
/401/13999999609
/419/13999999591
/461/13999999549
/599/13999999411
/613/13999999397

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浪费资源  发表于 2021-6-8 07:57
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 楼主| 发表于 2021-6-7 17:40 | 显示全部楼层
1709*1709=2920681,所以,总数不会超过2920681,这是个简单的估测,不准确,仅仅做个参考。
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发表于 2021-6-8 07:47 | 显示全部楼层
谢谢!可能不准。首先是少一位数,如果是29206810,再乘以2=58413620差不多。感谢帮忙!
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 楼主| 发表于 2021-6-9 09:16 | 显示全部楼层
重生888@ 发表于 2021-6-7 23:47
谢谢!可能不准。首先是少一位数,如果是29206810,再乘以2=58413620差不多。感谢帮忙!

这个是估计值,是上限还是下限也不确定的,仅仅做个参考而已。还可以这样估计:
14000000010/2=7000000005,
7000000005/118321=59161,
59161*1709=101106149.

这个大了,比你算的还多1位。当然,仅仅做个参考,不是确定值,程序结果还没有出来,程序结果是实际值,程序速度慢,电脑还要进行其他工作,可能影响程序速度了。
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