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高精度计算大偶数表为两个素数和的表法数值的实例(以当天日期为随机数选择偶数)

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 楼主| 发表于 2018-7-10 20:47 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年07月10日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180710×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 与我的两个不同程序对素对数量各自的表示形式。

G(40301420000) = 64854433;Sp( 40301420000 *)≈  64840524.8 , jdz =sp(m)/s(m) ≈0.999786;
G(40301420002) = 50441757;Sp( 40301420002 *)≈  50431519.3 , jdz =sp(m)/s(m) ≈0.999797;
G(40301420004) = 97281346;Sp( 40301420004 *)≈  97260787.2 , jdz =sp(m)/s(m) ≈0.999789;
G(40301420006) = 48640690;Sp( 40301420006 *)≈  48630393.6 , jdz =sp(m)/s(m) ≈0.999788;
G(40301420008) = 48638768;Sp( 40301420008 *)≈  48630393.6 , jdz =sp(m)/s(m) ≈0.999828;
G(40301420010) =129712198;Sp( 40301420010 *)≈ 129688567.1 , jdz =sp(m)/s(m) ≈0.999818;
G(40301420012) = 58369640;Sp( 40301420012 *)≈  58356472.4 , jdz =sp(m)/s(m) ≈0.999774;
G(40301420014) = 49346009;Sp( 40301420014 *)≈  49335181.9 , jdz =sp(m)/s(m) ≈0.999781;
G(40301420016) =122747206;Sp( 40301420016 *)≈ 122722865.8 , jdz =sp(m)/s(m) ≈0.999802;
G(40301420018) = 49827025;Sp( 40301420018 *)≈  49816500.8 , jdz =sp(m)/s(m) ≈0.999789;
G(40301420020) = 64865992;Sp( 40301420020 *)≈  64846114.0 , jdz =sp(m)/s(m) ≈0.999694;
G(40301420022) =103909730;Sp( 40301420022 *)≈ 103883326.8 , jdz =sp(m)/s(m) ≈0.999746;
G(40301420024) = 49894009;Sp( 40301420024 *)≈  49877326.8 , jdz =sp(m)/s(m) ≈0.999666;
G(40301420026) = 58370192;Sp( 40301420026 *)≈  58356472.4 , jdz =sp(m)/s(m) ≈0.999765;
G(40301420028) = 97280278;Sp( 40301420028 *)≈  97260787.3 , jdz =sp(m)/s(m) ≈0.999800;
G(40301420030) = 68659271;Sp( 40301420030 *)≈  68654673.4 , jdz =sp(m)/s(m) ≈0.999933;
G(40301420032) = 49034399;Sp( 40301420032 *)≈  49019436.8 , jdz =sp(m)/s(m) ≈0.999695;
G(40301420034) = 99464297;Sp( 40301420034 *)≈  99440802.7 , jdz =sp(m)/s(m) ≈0.999764;
G(40301420036) = 48785260;Sp( 40301420036 *)≈  48778206.4 , jdz =sp(m)/s(m) ≈0.999855;
G(40301420038) = 54043645;Sp( 40301420038 *)≈  54033770.7 , jdz =sp(m)/s(m) ≈0.999817;
 楼主| 发表于 2018-7-10 20:56 | 显示全部楼层
本帖最后由 愚工688 于 2018-7-10 13:24 编辑

偶数M的素对数量的Sp(m*)的计算式:
Sp( 40301420000 *) = 1/(1+ .15649 )*( 40301420000 /2 -2)*p(m) ≈ 64840524.8 , k(m)= 1.333333
Sp( 40301420002 *) = 1/(1+ .15649 )*( 40301420002 /2 -2)*p(m) ≈ 50431519.3 , k(m)= 1.037037
Sp( 40301420004 *) = 1/(1+ .15649 )*( 40301420004 /2 -2)*p(m) ≈ 97260787.2 , k(m)= 2
Sp( 40301420006 *) = 1/(1+ .15649 )*( 40301420006 /2 -2)*p(m) ≈ 48630393.6 , k(m)= 1
Sp( 40301420008 *) = 1/(1+ .15649 )*( 40301420008 /2 -2)*p(m) ≈ 48630393.6 , k(m)= 1
Sp( 40301420010 *) = 1/(1+ .15649 )*( 40301420010 /2 -2)*p(m) ≈ 129688567.1 , k(m)= 2.666821
Sp( 40301420012 *) = 1/(1+ .15649 )*( 40301420012 /2 -2)*p(m) ≈ 58356472.4 , k(m)= 1.2
Sp( 40301420014 *) = 1/(1+ .15649 )*( 40301420014 /2 -2)*p(m) ≈ 49335181.9 , k(m)= 1.014493
Sp( 40301420016 *) = 1/(1+ .15649 )*( 40301420016 /2 -2)*p(m) ≈ 122722865.8 , k(m)= 2.523584
Sp( 40301420018 *) = 1/(1+ .15649 )*( 40301420018 /2 -2)*p(m) ≈ 49816500.8 , k(m)= 1.02439
Sp( 40301420020 *) = 1/(1+ .15649 )*( 40301420020 /2 -2)*p(m) ≈ 64846114 , k(m)= 1.333448
Sp( 40301420022 *) = 1/(1+ .15649 )*( 40301420022 /2 -2)*p(m) ≈ 103883326.8 , k(m)= 2.136181
Sp( 40301420024 *) = 1/(1+ .15649 )*( 40301420024 /2 -2)*p(m) ≈ 49877326.8 , k(m)= 1.025641
Sp( 40301420026 *) = 1/(1+ .15649 )*( 40301420026 /2 -2)*p(m) ≈ 58356472.4 , k(m)= 1.2
Sp( 40301420028 *) = 1/(1+ .15649 )*( 40301420028 /2 -2)*p(m) ≈ 97260787.3 , k(m)= 2
Sp( 40301420030 *) = 1/(1+ .15649 )*( 40301420030 /2 -2)*p(m) ≈ 68654673.4 , k(m)= 1.411765
Sp( 40301420032 *) = 1/(1+ .15649 )*( 40301420032 /2 -2)*p(m) ≈ 49019436.8 , k(m)= 1.008
Sp( 40301420034 *) = 1/(1+ .15649 )*( 40301420034 /2 -2)*p(m) ≈ 99440802.7 , k(m)= 2.044828
Sp( 40301420036 *) = 1/(1+ .15649 )*( 40301420036 /2 -2)*p(m) ≈ 48778206.4 , k(m)= 1.00304
Sp( 40301420038 *) = 1/(1+ .15649 )*( 40301420038 /2 -2)*p(m) ≈ 54033770.7 , k(m)= 1.111111

从1楼的{式4}中可以知道:p(m)= π[(n-2)/n]*π[(k-1)/(k-2)]   。
其中 π[(k-1)/(k-2)] = k(m),即为体现素对数量波动的素因子系数,也即波动系数。
只有解析出波动系数,才可能使得连续偶数的素对数量计算值始终能够保持在高精度的水准。

 楼主| 发表于 2018-7-15 19:46 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年07月15日,俄罗斯世界杯决赛日。
继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180715×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 与我的两个不同程序对素对数量各自的表示形式。
G(40361430000) = 130851793;Sp( 40361430000 *)≈  130820020 , jdz =sp(m)/s(m) ≈ 0.999757;
G(40361430002) = 50213663;Sp( 40361430002 *)≈  50206903.9 , jdz =sp(m)/s(m) ≈ 0.999865;
G(40361430004) = 58891997;Sp( 40361430004 *)≈  58868565.4 , jdz =sp(m)/s(m) ≈ 0.999602;
G(40361430006) = 99681870;Sp( 40361430006 *)≈  99657708.2 , jdz =sp(m)/s(m) ≈ 0.999758;
G(40361430008) = 48720544;Sp( 40361430008 *)≈  48704572.5 , jdz =sp(m)/s(m) ≈ 0.999672;
G(40361430010) = 78461544;Sp( 40361430010 *)≈  78446471.8 , jdz =sp(m)/s(m) ≈ 0.999808;
G(40361430012) = 97474334;Sp( 40361430012 *)≈  97449404.1 , jdz =sp(m)/s(m) ≈ 0.999744;
G(40361430014) = 48705096;Sp( 40361430014 *)≈  48696986.1 , jdz =sp(m)/s(m) ≈ 0.999833;
G(40361430016) = 48705195;Sp( 40361430016 *)≈  48696986.1 , jdz =sp(m)/s(m) ≈ 0.999831;
G(40361430018) = 127510575;Sp( 40361430018 *)≈127497563.6 , jdz =sp(m)/s(m) ≈ 0.999898;
G(40361430020) = 66821985;Sp( 40361430020 *)≈  66809856.1 , jdz =sp(m)/s(m) ≈ 0.999818;
G(40361430022) = 51957395;Sp( 40361430022 *)≈  51943451.8 , jdz =sp(m)/s(m) ≈ 0.999732;
G(40361430024) = 97421488;Sp( 40361430024 *)≈  97393972.2 , jdz =sp(m)/s(m) ≈ 0.999718;
G(40361430026) = 48744653;Sp( 40361430026 *)≈  48740660.5 , jdz =sp(m)/s(m) ≈ 0.999918;
G(40361430028) = 48706701;Sp( 40361430028 *)≈  48699211.8 , jdz =sp(m)/s(m) ≈ 0.999846;
G(40361430030) = 129892118;Sp( 40361430030 *)≈129858629.6 , jdz =sp(m)/s(m) ≈ 0.999742;
G(40361430032) = 68713989;Sp( 40361430032 *)≈  68699632.2 , jdz =sp(m)/s(m) ≈ 0.999791;
G(40361430034) = 50393220;Sp( 40361430034 *)≈  50381761.4 , jdz =sp(m)/s(m) ≈ 0.999773;
G(40361430036) = 97414818;Sp( 40361430036 *)≈  97393972.2 , jdz =sp(m)/s(m) ≈ 0.999786;
G(40361430038) = 48714817;Sp( 40361430038 *)≈  48706711.9 , jdz =sp(m)/s(m) ≈ 0.999834;
start time =17:37:01,end time=17:47:53 ,
具体计算式如下:
Sp( 40361430000 *) = 1/(1+ .15649 )*( 40361430000 /2 -2)*p(m) ≈ 130820020 , k(m)= 2.686409
Sp( 40361430002 *) = 1/(1+ .15649 )*( 40361430002 /2 -2)*p(m) ≈ 50206903.9 , k(m)= 1.031006
Sp( 40361430004 *) = 1/(1+ .15649 )*( 40361430004 /2 -2)*p(m) ≈ 58868565.4 , k(m)= 1.208875
Sp( 40361430006 *) = 1/(1+ .15649 )*( 40361430006 /2 -2)*p(m) ≈ 99657708.2 , k(m)= 2.046486
Sp( 40361430008 *) = 1/(1+ .15649 )*( 40361430008 /2 -2)*p(m) ≈ 48704572.5 , k(m)= 1.000156
Sp( 40361430010 *) = 1/(1+ .15649 )*( 40361430010 /2 -2)*p(m) ≈ 78446471.8 , k(m)= 1.61091
Sp( 40361430012 *) = 1/(1+ .15649 )*( 40361430012 /2 -2)*p(m) ≈ 97449404.09999999 , k(m)= 2.001138
Sp( 40361430014 *) = 1/(1+ .15649 )*( 40361430014 /2 -2)*p(m) ≈ 48696986.1 , k(m)= 1
Sp( 40361430016 *) = 1/(1+ .15649 )*( 40361430016 /2 -2)*p(m) ≈ 48696986.1 , k(m)= 1
Sp( 40361430018 *) = 1/(1+ .15649 )*( 40361430018 /2 -2)*p(m) ≈ 127497563.6 , k(m)= 2.618182
Sp( 40361430020 *) = 1/(1+ .15649 )*( 40361430020 /2 -2)*p(m) ≈ 66809856.1 , k(m)= 1.371951
Sp( 40361430022 *) = 1/(1+ .15649 )*( 40361430022 /2 -2)*p(m) ≈ 51943451.8 , k(m)= 1.066667
Sp( 40361430024 *) = 1/(1+ .15649 )*( 40361430024 /2 -2)*p(m) ≈ 97393972.2 , k(m)= 2
Sp( 40361430026 *) = 1/(1+ .15649 )*( 40361430026 /2 -2)*p(m) ≈ 48740660.5 , k(m)= 1.000897
Sp( 40361430028 *) = 1/(1+ .15649 )*( 40361430028 /2 -2)*p(m) ≈ 48699211.8 , k(m)= 1.000046
Sp( 40361430030 *) = 1/(1+ .15649 )*( 40361430030 /2 -2)*p(m) ≈ 129858629.6 , k(m)= 2.666667
Sp( 40361430032 *) = 1/(1+ .15649 )*( 40361430032 /2 -2)*p(m) ≈ 68699632.2 , k(m)= 1.410757
Sp( 40361430034 *) = 1/(1+ .15649 )*( 40361430034 /2 -2)*p(m) ≈ 50381761.4 , k(m)= 1.034597
Sp( 40361430036 *) = 1/(1+ .15649 )*( 40361430036 /2 -2)*p(m) ≈ 97393972.2 , k(m)= 2
Sp( 40361430038 *) = 1/(1+ .15649 )*( 40361430038 /2 -2)*p(m) ≈ 48706711.9 , k(m)= 1.0002

 楼主| 发表于 2018-7-20 20:23 | 显示全部楼层
本帖最后由 愚工688 于 2018-7-20 12:25 编辑

偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年07月20日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180720×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 与我的两个不同程序对素对数量各自的表示形式。

G(40361440000) = 77945400; Sp( 40361440000 *)≈  77917359.2 , jdz =sp(m)/s(m) ≈ 0.999640;
G(40361440002) = 106719973;Sp( 40361440002 *)≈ 106696299.7 , jdz =sp(m)/s(m) ≈ 0.999778;
G(40361440004) = 51575363; Sp( 40361440004 *)≈  51561527.4 , jdz =sp(m)/s(m) ≈ 0.999732;
G(40361440006) = 50763889; Sp( 40361440006 *)≈  50749929.5 , jdz =sp(m)/s(m) ≈ 0.999725;
G(40361440008) = 98292802; Sp( 40361440008 *)≈  98269433.2 , jdz =sp(m)/s(m) ≈ 0.999762;
G(40361440010) = 66800837; Sp( 40361440010 *)≈  66784454.6 , jdz =sp(m)/s(m) ≈ 0.999755;
G(40361440012) = 49671759; Sp( 40361440012 *)≈  49651841.2 , jdz =sp(m)/s(m) ≈ 0.999599;
G(40361440014) = 123877325;Sp( 40361440014 *)≈ 123846293.4 , jdz =sp(m)/s(m) ≈ 0.999749;
G(40361440016) = 51035441; Sp( 40361440016 *)≈  51030441.4 , jdz =sp(m)/s(m) ≈ 0.999902;
G(40361440018) = 52482818; Sp( 40361440018 *)≈  52468146.2 , jdz =sp(m)/s(m) ≈ 0.999720;
G(40361440020) = 147847225;Sp( 40361440020 *)≈ 147807750.1 , jdz =sp(m)/s(m) ≈ 0.999733;
G(40361440022) = 48837625; Sp( 40361440022 *)≈  48828256.9 , jdz =sp(m)/s(m) ≈ 0.999808;
G(40361440024) = 48731926; Sp( 40361440024 *)≈  48721704.9 , jdz =sp(m)/s(m) ≈ 0.999790;
G(40361440026) = 101039877;Sp( 40361440026 *)≈ 101014871.7 , jdz =sp(m)/s(m) ≈ 0.999753;
G(40361440028) = 63763361; Sp( 40361440028 *)≈  63748797.6 , jdz =sp(m)/s(m) ≈ 0.999772;
G(40361440030) = 65751727; Sp( 40361440030 *)≈  65730927.6 , jdz =sp(m)/s(m) ≈ 0.999684;
G(40361440032) = 97781376; Sp( 40361440032 *)≈  97758767.9 , jdz =sp(m)/s(m) ≈ 0.999769;
G(40361440034) = 48728327; Sp( 40361440034 *)≈  48715792.8 , jdz =sp(m)/s(m) ≈ 0.999743;
G(40361440036) = 49565825; Sp( 40361440036 *)≈  49551331.5 , jdz =sp(m)/s(m) ≈ 0.999708;
G(40361440038) = 97432381; Sp( 40361440038 *)≈  97409552.0 , jdz =sp(m)/s(m) ≈ 0.999766;

计算式如下:
Sp( 40361440000 *) = 1/(1+ .15649 )*( 40361440000 /2 -2)*p(m) ≈ 77917359.2 , k(m)= 1.600044
Sp( 40361440002 *) = 1/(1+ .15649 )*( 40361440002 /2 -2)*p(m) ≈ 106696299.7 , k(m)= 2.191024
Sp( 40361440004 *) = 1/(1+ .15649 )*( 40361440004 /2 -2)*p(m) ≈ 51561527.4 , k(m)= 1.058824
Sp( 40361440006 *) = 1/(1+ .15649 )*( 40361440006 /2 -2)*p(m) ≈ 50749929.5 , k(m)= 1.042157
Sp( 40361440008 *) = 1/(1+ .15649 )*( 40361440008 /2 -2)*p(m) ≈ 98269433.2 , k(m)= 2.017977
Sp( 40361440010 *) = 1/(1+ .15649 )*( 40361440010 /2 -2)*p(m) ≈ 66784454.6 , k(m)= 1.371429
Sp( 40361440012 *) = 1/(1+ .15649 )*( 40361440012 /2 -2)*p(m) ≈ 49651841.2 , k(m)= 1.019608
Sp( 40361440014 *) = 1/(1+ .15649 )*( 40361440014 /2 -2)*p(m) ≈ 123846293.4 , k(m)= 2.543202
Sp( 40361440016 *) = 1/(1+ .15649 )*( 40361440016 /2 -2)*p(m) ≈ 51030441.4 , k(m)= 1.047918
Sp( 40361440018 *) = 1/(1+ .15649 )*( 40361440018 /2 -2)*p(m) ≈ 52468146.2 , k(m)= 1.077441
Sp( 40361440020 *) = 1/(1+ .15649 )*( 40361440020 /2 -2)*p(m) ≈ 147807750.1 , k(m)= 3.035254
Sp( 40361440022 *) = 1/(1+ .15649 )*( 40361440022 /2 -2)*p(m) ≈ 48828256.9 , k(m)= 1.002695
Sp( 40361440024 *) = 1/(1+ .15649 )*( 40361440024 /2 -2)*p(m) ≈ 48721704.9 , k(m)= 1.000507
Sp( 40361440026 *) = 1/(1+ .15649 )*( 40361440026 /2 -2)*p(m) ≈ 101014871.7 , k(m)= 2.074355
Sp( 40361440028 *) = 1/(1+ .15649 )*( 40361440028 /2 -2)*p(m) ≈ 63748797.6 , k(m)= 1.309091
Sp( 40361440030 *) = 1/(1+ .15649 )*( 40361440030 /2 -2)*p(m) ≈ 65730927.6 , k(m)= 1.349794
Sp( 40361440032 *) = 1/(1+ .15649 )*( 40361440032 /2 -2)*p(m) ≈ 97758767.9 , k(m)= 2.007491
Sp( 40361440034 *) = 1/(1+ .15649 )*( 40361440034 /2 -2)*p(m) ≈ 48715792.8 , k(m)= 1.000386
Sp( 40361440036 *) = 1/(1+ .15649 )*( 40361440036 /2 -2)*p(m) ≈ 49551331.5 , k(m)= 1.017544
Sp( 40361440038 *) = 1/(1+ .15649 )*( 40361440038 /2 -2)*p(m) ≈ 97409552 , k(m)= 2.000319

start time =17:16:40,end time=17:27:52 ,
 楼主| 发表于 2018-7-25 19:52 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年07月25日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180725×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 与我的两个不同程序对素对数量各自的表示形式。

G(40361450000) = 66798356; Sp( 40361450000 *)≈  66787532.5 , jdz =sp(m)/s(m) ≈ 0.999838;
G(40361450002) = 50748836; Sp( 40361450002 *)≈  50736175.2 , jdz =sp(m)/s(m) ≈ 0.999751;
G(40361450004) = 97406979; Sp( 40361450004 *)≈  97394020.4 , jdz =sp(m)/s(m) ≈ 0.999867;
G(40361450006) = 48715414; Sp( 40361450006 *)≈  48697010.2 , jdz =sp(m)/s(m) ≈ 0.999622;
G(40361450008) = 54257190; Sp( 40361450008 *)≈  54249804.3 , jdz =sp(m)/s(m) ≈ 0.999864;
G(40361450010) = 159864916;Sp( 40361450010 *)≈ 159826084.8 , jdz =sp(m)/s(m) ≈ 0.999757;
G(40361450012) = 53415308; Sp( 40361450012 *)≈  53402147.3 , jdz =sp(m)/s(m) ≈ 0.999754;
G(40361450014) = 52472722; Sp( 40361450014 *)≈  52457769.4 , jdz =sp(m)/s(m) ≈ 0.999715;
G(40361450016) = 98128447; Sp( 40361450016 *)≈  98104925.7 , jdz =sp(m)/s(m) ≈ 0.999760;
G(40361450018) = 48866878; Sp( 40361450018 *)≈  48855691.9 , jdz =sp(m)/s(m) ≈ 0.999771;
G(40361450020) = 64943722; Sp( 40361450020 *)≈  64929347   , jdz =sp(m)/s(m) ≈ 0.999779;
G(40361450022) = 97440366; Sp( 40361450022 *)≈  97409828.6 , jdz =sp(m)/s(m) ≈ 0.999687;
G(40361450024) = 58586660; Sp( 40361450024 *)≈  58568921.1 , jdz =sp(m)/s(m) ≈ 0.999697;
G(40361450026) = 48708450; Sp( 40361450026 *)≈  48697010.2 , jdz =sp(m)/s(m) ≈ 0.999765;
G(40361450028) = 97561940; Sp( 40361450028 *)≈  97531777.2 , jdz =sp(m)/s(m) ≈ 0.999691;
G(40361450030) = 72166387; Sp( 40361450030 *)≈  72143718.9 , jdz =sp(m)/s(m) ≈ 0.999686;
G(40361450032) = 50171770; Sp( 40361450032 *)≈  50165051 ,   jdz =sp(m)/s(m) ≈ 0.999866;
G(40361450034) = 98907966; Sp( 40361450034 *)≈  98892390 ,   jdz =sp(m)/s(m) ≈ 0.999843;
G(40361450036) = 51577052; Sp( 40361450036 *)≈  51561540.3 , jdz =sp(m)/s(m) ≈ 0.999699;
G(40361450038) = 63761075; Sp( 40361450038 *)≈  63748813.4 , jdz =sp(m)/s(m) ≈ 0.999808;

具体的计算式如下:
Sp( 40361450000 *) = 1/(1+ .15649 )*( 40361450000 /2 -2)*p(m) ≈ 66787532.5 , k(m)= 1.371491
Sp( 40361450002 *) = 1/(1+ .15649 )*( 40361450002 /2 -2)*p(m) ≈ 50736175.2 , k(m)= 1.041875
Sp( 40361450004 *) = 1/(1+ .15649 )*( 40361450004 /2 -2)*p(m) ≈ 97394020.4 , k(m)= 2
Sp( 40361450006 *) = 1/(1+ .15649 )*( 40361450006 /2 -2)*p(m) ≈ 48697010.2 , k(m)= 1
Sp( 40361450008 *) = 1/(1+ .15649 )*( 40361450008 /2 -2)*p(m) ≈ 54249804.3 , k(m)= 1.114027
Sp( 40361450010 *) = 1/(1+ .15649 )*( 40361450010 /2 -2)*p(m) ≈ 159826084.8 , k(m)= 3.282051
Sp( 40361450012 *) = 1/(1+ .15649 )*( 40361450012 /2 -2)*p(m) ≈ 53402147.3 , k(m)= 1.096621
Sp( 40361450014 *) = 1/(1+ .15649 )*( 40361450014 /2 -2)*p(m) ≈ 52457769.4 , k(m)= 1.077228
Sp( 40361450016 *) = 1/(1+ .15649 )*( 40361450016 /2 -2)*p(m) ≈ 98104925.7 , k(m)= 2.014599
Sp( 40361450018 *) = 1/(1+ .15649 )*( 40361450018 /2 -2)*p(m) ≈ 48855691.9 , k(m)= 1.003259
Sp( 40361450020 *) = 1/(1+ .15649 )*( 40361450020 /2 -2)*p(m) ≈ 64929347 , k(m)= 1.333333
Sp( 40361450022 *) = 1/(1+ .15649 )*( 40361450022 /2 -2)*p(m) ≈ 97409828.6 , k(m)= 2.000325
Sp( 40361450024 *) = 1/(1+ .15649 )*( 40361450024 /2 -2)*p(m) ≈ 58568921.1 , k(m)= 1.202721
Sp( 40361450026 *) = 1/(1+ .15649 )*( 40361450026 /2 -2)*p(m) ≈ 48697010.2 , k(m)= 1
Sp( 40361450028 *) = 1/(1+ .15649 )*( 40361450028 /2 -2)*p(m) ≈ 97531777.2 , k(m)= 2.002829
Sp( 40361450030 *) = 1/(1+ .15649 )*( 40361450030 /2 -2)*p(m) ≈ 72143718.9 , k(m)= 1.481481
Sp( 40361450032 *) = 1/(1+ .15649 )*( 40361450032 /2 -2)*p(m) ≈ 50165051 , k(m)= 1.030146
Sp( 40361450034 *) = 1/(1+ .15649 )*( 40361450034 /2 -2)*p(m) ≈ 98892390 , k(m)= 2.030769
Sp( 40361450036 *) = 1/(1+ .15649 )*( 40361450036 /2 -2)*p(m) ≈ 51561540.3 , k(m)= 1.058824
Sp( 40361450038 *) = 1/(1+ .15649 )*( 40361450038 /2 -2)*p(m) ≈ 63748813.4 , k(m)= 1.309091

start time =17:31:31,end time=17:51:15 ,

 楼主| 发表于 2018-7-30 14:33 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年07月30日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180730×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。输入数字时按错,成40361461000起的偶数了。不改了,免得重算,反正效果是不变的。
注:素对真值s(m)=G(M).系网友Ktprime 与我的两个不同程序对素对数量各自的表示形式。

G(40361461000) = 79467329; Sp( 40361461000 *)≈  79443717.6 , jdz =sp(m)/s(m) ≈ 0.999703;
G(40361461002) = 97408747; Sp( 40361461002 *)≈  97394046.9 , jdz =sp(m)/s(m) ≈ 0.999849;
G(40361461004) = 49890783; Sp( 40361461004 *)≈  49884755.8 , jdz =sp(m)/s(m) ≈ 0.999879;
G(40361461006) = 48718645; Sp( 40361461006 *)≈  48702987.6 , jdz =sp(m)/s(m) ≈ 0.999679;
G(40361461008) = 108233620;Sp( 40361461008 *)≈ 108215607.7 , jdz =sp(m)/s(m) ≈ 0.999834;
G(40361461010) = 70838770; Sp( 40361461010 *)≈  70832034.2 , jdz =sp(m)/s(m) ≈ 0.999905;
G(40361461012) = 49312086; Sp( 40361461012 *)≈  49298510.0 , jdz =sp(m)/s(m) ≈ 0.9999725;
G(40361461014) = 117337054;Sp( 40361461014 *)≈ 117312191.5 , jdz =sp(m)/s(m) ≈ 0.999788;
G(40361461016) = 48705117; Sp( 40361461016 *)≈  48697023.5 , jdz =sp(m)/s(m) ≈ 0.999834;
G(40361461018) = 52168028; Sp( 40361461018 *)≈  52154215.8 , jdz =sp(m)/s(m) ≈ 0.999735;
G(40361461020) = 129881400;Sp( 40361461020 *)≈ 129858729.3 , jdz =sp(m)/s(m) ≈ 0.999825;
G(40361461022) = 52338352; Sp( 40361461022 *)≈  52324706.7 , jdz =sp(m)/s(m) ≈ 0.999739;
G(40361461024) = 48715005; Sp( 40361461024 *)≈  48702597.5 , jdz =sp(m)/s(m) ≈ 0.999745;
G(40361461026) = 101220860;Sp( 40361461026 *)≈ 101188620.3 , jdz =sp(m)/s(m) ≈ 0.999681;
G(40361461028) = 58459706; Sp( 40361461028 *)≈  58443639.3 , jdz =sp(m)/s(m) ≈ 0.999725;
G(40361461030) = 79718726; Sp( 40361461030 *)≈  79698710.2 , jdz =sp(m)/s(m) ≈ 0.999749;
G(40361461032) = 97525230; Sp( 40361461032 *)≈  97490764.0 , jdz =sp(m)/s(m) ≈ 0.999647;
G(40361461034) = 50601918; Sp( 40361461034 *)≈  50588789.2 , jdz =sp(m)/s(m) ≈ 0.999741;
G(40361461036) = 56094595; Sp( 40361461036 *)≈  56085165.5 , jdz =sp(m)/s(m) ≈ 0.999832;
G(40361461038) = 97412050; Sp( 40361461038 *)≈  97394047.0 , jdz =sp(m)/s(m) ≈ 0.999815;

具体偶数的素对计算式如下:
Sp( 40361461000 *) = 1/(1+ .15649 )*( 40361461000 /2 -2)*p(m) ≈ 79443717.6 , k(m)= 1.631388
Sp( 40361461002 *) = 1/(1+ .15649 )*( 40361461002 /2 -2)*p(m) ≈ 97394046.9 , k(m)= 2
Sp( 40361461004 *) = 1/(1+ .15649 )*( 40361461004 /2 -2)*p(m) ≈ 49884755.8 , k(m)= 1.02439
Sp( 40361461006 *) = 1/(1+ .15649 )*( 40361461006 /2 -2)*p(m) ≈ 48702987.6 , k(m)= 1.000122
Sp( 40361461008 *) = 1/(1+ .15649 )*( 40361461008 /2 -2)*p(m) ≈ 108215607.7 , k(m)= 2.222222
Sp( 40361461010 *) = 1/(1+ .15649 )*( 40361461010 /2 -2)*p(m) ≈ 70832034.2 , k(m)= 1.454545
Sp( 40361461012 *) = 1/(1+ .15649 )*( 40361461012 /2 -2)*p(m) ≈ 49298510 , k(m)= 1.012352
Sp( 40361461014 *) = 1/(1+ .15649 )*( 40361461014 /2 -2)*p(m) ≈ 117312191.5 , k(m)= 2.409022
Sp( 40361461016 *) = 1/(1+ .15649 )*( 40361461016 /2 -2)*p(m) ≈ 48697023.5 , k(m)= 1
Sp( 40361461018 *) = 1/(1+ .15649 )*( 40361461018 /2 -2)*p(m) ≈ 52154215.8 , k(m)= 1.070994
Sp( 40361461020 *) = 1/(1+ .15649 )*( 40361461020 /2 -2)*p(m) ≈ 129858729.3 , k(m)= 2.666667
Sp( 40361461022 *) = 1/(1+ .15649 )*( 40361461022 /2 -2)*p(m) ≈ 52324706.7 , k(m)= 1.074495
Sp( 40361461024 *) = 1/(1+ .15649 )*( 40361461024 /2 -2)*p(m) ≈ 48702597.5 , k(m)= 1.000114
Sp( 40361461026 *) = 1/(1+ .15649 )*( 40361461026 /2 -2)*p(m) ≈ 101188620.3 , k(m)= 2.077922
Sp( 40361461028 *) = 1/(1+ .15649 )*( 40361461028 /2 -2)*p(m) ≈ 58443639.3 , k(m)= 1.200148
Sp( 40361461030 *) = 1/(1+ .15649 )*( 40361461030 /2 -2)*p(m) ≈ 79698710.2 , k(m)= 1.636624
Sp( 40361461032 *) = 1/(1+ .15649 )*( 40361461032 /2 -2)*p(m) ≈ 97490764 , k(m)= 2.001986
Sp( 40361461034 *) = 1/(1+ .15649 )*( 40361461034 /2 -2)*p(m) ≈ 50588789.2 , k(m)= 1.038848
Sp( 40361461036 *) = 1/(1+ .15649 )*( 40361461036 /2 -2)*p(m) ≈ 56085165.5 , k(m)= 1.151717
Sp( 40361461038 *) = 1/(1+ .15649 )*( 40361461038 /2 -2)*p(m) ≈ 97394047 , k(m)= 2

start time =18:44:27,end time=18:55:56 ,
 楼主| 发表于 2018-8-5 11:59 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年08月05日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180805×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 的高速筛选素对程序与我的素对计算程序对素对数量各自的表示形式。

G(40361610000) = 131107088;Sp( 40361610000 *)≈ 131083467.0 , jdz =sp(m)/s(m) ≈ 0.999820;
G(40361610002) = 58782435; Sp( 40361610002 *)≈  58774886.3 , jdz =sp(m)/s(m) ≈ 0.999872;
G(40361610004) = 49750637; Sp( 40361610004 *)≈  49733779.8 , jdz =sp(m)/s(m) ≈ 0.999661;
G(40361610006) = 97441724; Sp( 40361610006 *)≈  97423315.5 , jdz =sp(m)/s(m) ≈ 0.999811;
G(40361610008) = 48727275; Sp( 40361610008 *)≈  48721835.1 , jdz =sp(m)/s(m) ≈ 0.999888;
G(40361610010) = 65078550; Sp( 40361610010 *)≈  65060247.4 , jdz =sp(m)/s(m) ≈ 0.999719;
G(40361610012) = 97418712; Sp( 40361610012 *)≈  97394406.5 , jdz =sp(m)/s(m) ≈ 0.999750;
G(40361610014) = 54834236; Sp( 40361610014 *)≈  54820635.4 , jdz =sp(m)/s(m) ≈ 0.999752;
G(40361610016) = 67510413; Sp( 40361610016 *)≈  67499011.1 , jdz =sp(m)/s(m) ≈ 0.999831;
G(40361610018) = 105674171;Sp( 40361610018 *)≈ 105648169.8 , jdz =sp(m)/s(m) ≈ 0.999754;
G(40361610020) = 68682736; Sp( 40361610020 *)≈  68661190.8 , jdz =sp(m)/s(m) ≈ 0.999686;
G(40361610022) = 48713040; Sp( 40361610022 *)≈  48697203.3 , jdz =sp(m)/s(m) ≈ 0.999675;
G(40361610024) = 102336903;Sp( 40361610024 *)≈ 102313316.0 , jdz =sp(m)/s(m) ≈ 0.999770;
G(40361610026) = 48708828; Sp( 40361610026 *)≈  48697203.3 , jdz =sp(m)/s(m) ≈ 0.999761;
G(40361610028) = 48871870; Sp( 40361610028 *)≈  48858881.2 , jdz =sp(m)/s(m) ≈ 0.999734;
G(40361610030) = 166924560;Sp( 40361610030 *)≈ 166896168.8 , jdz =sp(m)/s(m) ≈ 0.999830;
G(40361610032) = 48709132; Sp( 40361610032 *)≈  48697203.3 , jdz =sp(m)/s(m) ≈ 0.999755;
G(40361610034) = 48703306; Sp( 40361610034 *)≈  48697203.3 , jdz =sp(m)/s(m) ≈ 0.999875;
G(40361610036) = 110376224;Sp( 40361610036 *)≈ 110337889.8 , jdz =sp(m)/s(m) ≈ 0.999653;
G(40361610038) = 48708497; Sp( 40361610038 *)≈  48697203.3 , jdz =sp(m)/s(m) ≈ 0.999768;

start time =11:12:40,end time=11:24:32 ,

Sp( 40361610000 *) = 1/(1+ .15649 )*( 40361610000 /2 -2)*p(m) ≈ 131083467 , k(m)= 2.691807
Sp( 40361610002 *) = 1/(1+ .15649 )*( 40361610002 /2 -2)*p(m) ≈ 58774886.3 , k(m)= 1.206946
Sp( 40361610004 *) = 1/(1+ .15649 )*( 40361610004 /2 -2)*p(m) ≈ 49733779.8 , k(m)= 1.021286
Sp( 40361610006 *) = 1/(1+ .15649 )*( 40361610006 /2 -2)*p(m) ≈ 97423315.5 , k(m)= 2.000594
Sp( 40361610008 *) = 1/(1+ .15649 )*( 40361610008 /2 -2)*p(m) ≈ 48721835.1 , k(m)= 1.000506
Sp( 40361610010 *) = 1/(1+ .15649 )*( 40361610010 /2 -2)*p(m) ≈ 65060247.4 , k(m)= 1.336016
Sp( 40361610012 *) = 1/(1+ .15649 )*( 40361610012 /2 -2)*p(m) ≈ 97394406.5 , k(m)= 2
Sp( 40361610014 *) = 1/(1+ .15649 )*( 40361610014 /2 -2)*p(m) ≈ 54820635.4 , k(m)= 1.125745
Sp( 40361610016 *) = 1/(1+ .15649 )*( 40361610016 /2 -2)*p(m) ≈ 67499011.1 , k(m)= 1.386096
Sp( 40361610018 *) = 1/(1+ .15649 )*( 40361610018 /2 -2)*p(m) ≈ 105648169.8 , k(m)= 2.169492
Sp( 40361610020 *) = 1/(1+ .15649 )*( 40361610020 /2 -2)*p(m) ≈ 68661190.8 , k(m)= 1.409962
Sp( 40361610022 *) = 1/(1+ .15649 )*( 40361610022 /2 -2)*p(m) ≈ 48697203.3 , k(m)= 1
Sp( 40361610024 *) = 1/(1+ .15649 )*( 40361610024 /2 -2)*p(m) ≈ 102313316 , k(m)= 2.10101
Sp( 40361610026 *) = 1/(1+ .15649 )*( 40361610026 /2 -2)*p(m) ≈ 48697203.3 , k(m)= 1
Sp( 40361610028 *) = 1/(1+ .15649 )*( 40361610028 /2 -2)*p(m) ≈ 48858881.2 , k(m)= 1.00332
Sp( 40361610030 *) = 1/(1+ .15649 )*( 40361610030 /2 -2)*p(m) ≈ 166896168.8 , k(m)= 3.427223
Sp( 40361610032 *) = 1/(1+ .15649 )*( 40361610032 /2 -2)*p(m) ≈ 48697203.3 , k(m)= 1
Sp( 40361610034 *) = 1/(1+ .15649 )*( 40361610034 /2 -2)*p(m) ≈ 48697203.3 , k(m)= 1
Sp( 40361610036 *) = 1/(1+ .15649 )*( 40361610036 /2 -2)*p(m) ≈ 110337889.8 , k(m)= 2.265795
Sp( 40361610038 *) = 1/(1+ .15649 )*( 40361610038 /2 -2)*p(m) ≈ 48697203.3 , k(m)= 1
 楼主| 发表于 2018-8-10 17:12 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年08月10日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180810×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 的高速筛选素对程序与我的素对计算程序对素对数量各自的表示形式。
G(40361620000) = 75662981; Sp( 40361620000 *)≈  75652566.3 , jdz =sp(m)/s(m) ≈ 0.999862;
G(40361620002) = 111980120;Sp( 40361620002 *)≈ 111947621.4 , jdz =sp(m)/s(m) ≈ 0.999710;
G(40361620004) = 48808611; Sp( 40361620004 *)≈  48796389.6 , jdz =sp(m)/s(m) ≈ 0.999750;
G(40361620006) = 48707105; Sp( 40361620006 *)≈  48697215.3 , jdz =sp(m)/s(m) ≈ 0.999797;
G(40361620008) = 97413337; Sp( 40361620008 *)≈  97394430.6 , jdz =sp(m)/s(m) ≈ 0.999806;
G(40361620010) = 68775319; Sp( 40361620010 *)≈  68762346.4 , jdz =sp(m)/s(m) ≈ 0.999811;
G(40361620012) = 61272516; Sp( 40361620012 *)≈  61254006.6 , jdz =sp(m)/s(m) ≈ 0.999698;
G(40361620014) = 105860284;Sp( 40361620014 *)≈ 105831334.6 , jdz =sp(m)/s(m) ≈ 0.999727;
G(40361620016) = 48823550; Sp( 40361620016 *)≈  48805224.5 , jdz =sp(m)/s(m) ≈ 0.999625;
G(40361620018) = 49905626; Sp( 40361620018 *)≈  49891978.1 , jdz =sp(m)/s(m) ≈ 0.999727;
G(40361620020) = 130057069;Sp( 40361620020 *)≈ 130031239.9 , jdz =sp(m)/s(m) ≈ 0.999801;
G(40361620022) = 49583764; Sp( 40361620022 *)≈  49572814.3 , jdz =sp(m)/s(m) ≈ 0.999779;
G(40361620024) = 54127189; Sp( 40361620024 *)≈  54108017.0 , jdz =sp(m)/s(m) ≈ 0.999646;
G(40361620026) = 128272430;Sp( 40361620026 *)≈ 128247669.0 , jdz =sp(m)/s(m) ≈ 0.999807;
G(40361620028) = 49177410; Sp( 40361620028 *)≈  49162571.2 , jdz =sp(m)/s(m) ≈ 0.999698;
G(40361620030) = 64946523; Sp( 40361620030 *)≈  64929620.5 , jdz =sp(m)/s(m) ≈ 0.999740;
G(40361620032) = 97419008; Sp( 40361620032 *)≈  97394430.7 , jdz =sp(m)/s(m) ≈ 0.999748;
G(40361620034) = 48709567; Sp( 40361620034 *)≈  48698688.9 , jdz =sp(m)/s(m) ≈ 0.999777;
G(40361620036) = 48715252; Sp( 40361620036 *)≈  48697215.3 , jdz =sp(m)/s(m) ≈ 0.999630;
G(40361620038) = 97419751; Sp( 40361620038 *)≈  97394430.7 , jdz =sp(m)/s(m) ≈ 0.999740;
start time =12:01:20,end time=12:15:44 ,
我的大偶数素对计算式:
Sp( 40361620000 *) = 1/(1+ .15649 )*( 40361620000 /2 -2)*p(m) ≈ 75652566.3 , k(m)= 1.55353
Sp( 40361620002 *) = 1/(1+ .15649 )*( 40361620002 /2 -2)*p(m) ≈ 111947621.4 , k(m)= 2.298851
Sp( 40361620004 *) = 1/(1+ .15649 )*( 40361620004 /2 -2)*p(m) ≈ 48796389.6 , k(m)= 1.002037
Sp( 40361620006 *) = 1/(1+ .15649 )*( 40361620006 /2 -2)*p(m) ≈ 48697215.3 , k(m)= 1
Sp( 40361620008 *) = 1/(1+ .15649 )*( 40361620008 /2 -2)*p(m) ≈ 97394430.6 , k(m)= 2
Sp( 40361620010 *) = 1/(1+ .15649 )*( 40361620010 /2 -2)*p(m) ≈ 68762346.4 , k(m)= 1.412039
Sp( 40361620012 *) = 1/(1+ .15649 )*( 40361620012 /2 -2)*p(m) ≈ 61254006.6 , k(m)= 1.257854
Sp( 40361620014 *) = 1/(1+ .15649 )*( 40361620014 /2 -2)*p(m) ≈ 105831334.6 , k(m)= 2.173252
Sp( 40361620016 *) = 1/(1+ .15649 )*( 40361620016 /2 -2)*p(m) ≈ 48805224.5 , k(m)= 1.002218
Sp( 40361620018 *) = 1/(1+ .15649 )*( 40361620018 /2 -2)*p(m) ≈ 49891978.1 , k(m)= 1.024535
Sp( 40361620020 *) = 1/(1+ .15649 )*( 40361620020 /2 -2)*p(m) ≈ 130031239.9 , k(m)= 2.670199
Sp( 40361620022 *) = 1/(1+ .15649 )*( 40361620022 /2 -2)*p(m) ≈ 49572814.3 , k(m)= 1.01798
Sp( 40361620024 *) = 1/(1+ .15649 )*( 40361620024 /2 -2)*p(m) ≈ 54108017 , k(m)= 1.111111
Sp( 40361620026 *) = 1/(1+ .15649 )*( 40361620026 /2 -2)*p(m) ≈ 128247669 , k(m)= 2.633573
Sp( 40361620028 *) = 1/(1+ .15649 )*( 40361620028 /2 -2)*p(m) ≈ 49162571.2 , k(m)= 1.009556
Sp( 40361620030 *) = 1/(1+ .15649 )*( 40361620030 /2 -2)*p(m) ≈ 64929620.5 , k(m)= 1.333333
Sp( 40361620032 *) = 1/(1+ .15649 )*( 40361620032 /2 -2)*p(m) ≈ 97394430.7 , k(m)= 2
Sp( 40361620034 *) = 1/(1+ .15649 )*( 40361620034 /2 -2)*p(m) ≈ 48698688.9 , k(m)= 1.00003
Sp( 40361620036 *) = 1/(1+ .15649 )*( 40361620036 /2 -2)*p(m) ≈ 48697215.3 , k(m)= 1
Sp( 40361620038 *) = 1/(1+ .15649 )*( 40361620038 /2 -2)*p(m) ≈ 97394430.7 , k(m)= 2

 楼主| 发表于 2018-8-15 12:11 | 显示全部楼层
偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年08月15日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180815×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 的高速筛选素对程序与我的素对计算程序对素对数量各自的表示形式。

G(40361630000) = 66612533; Sp( 40361630000 *)≈  66595175.5 , jdz =sp(m)/s(m) ≈ 0.999739;
G(40361630002) = 49419234; Sp( 40361630002 *)≈  49402984.3 , jdz =sp(m)/s(m) ≈ 0.999671;
G(40361630004) = 103143945;Sp( 40361630004 *)≈ 103123540.3 , jdz =sp(m)/s(m) ≈ 0.999802;
G(40361630006) = 49619810; Sp( 40361630006 *)≈  49610426.1 , jdz =sp(m)/s(m) ≈ 0.999811;
G(40361630008) = 58676497; Sp( 40361630008 *)≈  58665836.3 , jdz =sp(m)/s(m) ≈ 0.999818;
G(40361630010) = 151263581;Sp( 40361630010 *)≈ 151232015.9 , jdz =sp(m)/s(m) ≈ 0.999791;
G(40361630012) = 54120330; Sp( 40361630012 *)≈  54108030.4 , jdz =sp(m)/s(m) ≈ 0.999773;
G(40361630014) = 49015804; Sp( 40361630014 *)≈  49001661.4 , jdz =sp(m)/s(m) ≈ 0.999711;
G(40361630016) = 99122212; Sp( 40361630016 *)≈  99103129.4 , jdz =sp(m)/s(m) ≈ 0.999807;
G(40361630018) = 48992799; Sp( 40361630018 *)≈  48980336.4 , jdz =sp(m)/s(m) ≈ 0.999746;
G(40361630020) = 64938342; Sp( 40361630020 *)≈  64929636.5 , jdz =sp(m)/s(m) ≈ 0.999866;
G(40361630022) = 117657028;Sp( 40361630022 *)≈ 117627367.3 , jdz =sp(m)/s(m) ≈ 0.999748;
G(40361630024) = 48713390; Sp( 40361630024 *)≈  48697227.4 , jdz =sp(m)/s(m) ≈ 0.999668;
G(40361630026) = 49921048; Sp( 40361630026 *)≈  49906500.3 , jdz =sp(m)/s(m) ≈ 0.999709;
G(40361630028) = 97740670; Sp( 40361630028 *)≈  97715273.9 , jdz =sp(m)/s(m) ≈ 0.999740;
G(40361630030) = 64954178; Sp( 40361630030 *)≈  64949608.7 , jdz =sp(m)/s(m) ≈ 0.999930;
G(40361630032) = 48705782; Sp( 40361630032 *)≈  48699169.5 , jdz =sp(m)/s(m) ≈ 0.999864;
G(40361630034) = 112259112;Sp( 40361630034 *)≈ 112224063.2 , jdz =sp(m)/s(m) ≈ 0.999688;
G(40361630036) = 63790167; Sp( 40361630036 *)≈  63779328.6 , jdz =sp(m)/s(m) ≈ 0.999830;
G(40361630038) = 48736895; Sp( 40361630038 *)≈  48727194.9 , jdz =sp(m)/s(m) ≈ 0.999801;
start time =06:45:03,end time=06:55:54 ,

具体偶数素对数量计算式:
Sp( 40361630000 *) = 1/(1+ .15649 )*( 40361630000 /2 -2)*p(m) ≈  66595175.5 , k(m)= 1.367535
Sp( 40361630002 *) = 1/(1+ .15649 )*( 40361630002 /2 -2)*p(m) ≈  49402984.3 , k(m)= 1.014493
Sp( 40361630004 *) = 1/(1+ .15649 )*( 40361630004 /2 -2)*p(m) ≈ 103123540.3 , k(m)= 2.117647
Sp( 40361630006 *) = 1/(1+ .15649 )*( 40361630006 /2 -2)*p(m) ≈  49610426.1 , k(m)= 1.018753
Sp( 40361630008 *) = 1/(1+ .15649 )*( 40361630008 /2 -2)*p(m) ≈  58665836.3 , k(m)= 1.204706
Sp( 40361630010 *) = 1/(1+ .15649 )*( 40361630010 /2 -2)*p(m) ≈ 151232015.9 , k(m)= 3.105557
Sp( 40361630012 *) = 1/(1+ .15649 )*( 40361630012 /2 -2)*p(m) ≈  54108030.4 , k(m)= 1.111111
Sp( 40361630014 *) = 1/(1+ .15649 )*( 40361630014 /2 -2)*p(m) ≈  49001661.4 , k(m)= 1.006252
Sp( 40361630016 *) = 1/(1+ .15649 )*( 40361630016 /2 -2)*p(m) ≈  99103129.4 , k(m)= 2.035088
Sp( 40361630018 *) = 1/(1+ .15649 )*( 40361630018 /2 -2)*p(m) ≈  48980336.4 , k(m)= 1.005814
Sp( 40361630020 *) = 1/(1+ .15649 )*( 40361630020 /2 -2)*p(m) ≈  64929636.5 , k(m)= 1.333333
Sp( 40361630022 *) = 1/(1+ .15649 )*( 40361630022 /2 -2)*p(m) ≈ 117627367.3 , k(m)= 2.415484
Sp( 40361630024 *) = 1/(1+ .15649 )*( 40361630024 /2 -2)*p(m) ≈  48697227.4 , k(m)= 1
Sp( 40361630026 *) = 1/(1+ .15649 )*( 40361630026 /2 -2)*p(m) ≈  49906500.3 , k(m)= 1.024832
Sp( 40361630028 *) = 1/(1+ .15649 )*( 40361630028 /2 -2)*p(m) ≈  97715273.9 , k(m)= 2.006588
Sp( 40361630030 *) = 1/(1+ .15649 )*( 40361630030 /2 -2)*p(m) ≈  64949608.7 , k(m)= 1.333743
Sp( 40361630032 *) = 1/(1+ .15649 )*( 40361630032 /2 -2)*p(m) ≈  48699169.5 , k(m)= 1.00004
Sp( 40361630034 *) = 1/(1+ .15649 )*( 40361630034 /2 -2)*p(m) ≈ 112224063.2 , k(m)= 2.304527
Sp( 40361630036 *) = 1/(1+ .15649 )*( 40361630036 /2 -2)*p(m) ≈  63779328.6 , k(m)= 1.309712
Sp( 40361630038 *) = 1/(1+ .15649 )*( 40361630038 /2 -2)*p(m) ≈  48727194.9 , k(m)= 1.000615
 楼主| 发表于 2018-8-20 14:59 | 显示全部楼层
本帖最后由 愚工688 于 2018-8-20 07:03 编辑

偶数M表为两个素数和的表法数值的变化是有规律性的,因此是能够比较精确的进行计算的。
今天的日期是2018年08月20日,继续以今天的日期作为随机数,计算更大一些的百亿级别的偶数20180820×2000起的连续偶数M表为两个素数和的表法数计算值Sp(m*)以及计算值的精度 jdz。
注:素对真值s(m)=G(M).系网友Ktprime 的高速筛选素对程序FastGn与我的素对计算程序对素对数量各自的表示形式。


G(40361640000) = 144317226;Sp( 40361640000 *)≈ 144292836.0 , jdz =sp(m)/s(m) ≈ 0.999831;
G(40361640002) = 48710997; Sp( 40361640002 *)≈    48697239.4 , jdz =sp(m)/s(m) ≈ 0.999718;
G(40361640004) = 60014500; Sp( 40361640004 *)≈    60002553.9 , jdz =sp(m)/s(m) ≈ 0.999801;
G(40361640006) = 106567623;Sp( 40361640006 *)≈ 106530299.0 , jdz =sp(m)/s(m) ≈ 0.999650;
G(40361640008) = 48711460; Sp( 40361640008 *)≈    48697239.4 , jdz =sp(m)/s(m) ≈ 0.999708;
G(40361640010) = 67816011; Sp( 40361640010 *)≈    67803329.4 , jdz =sp(m)/s(m) ≈ 0.999813;
G(40361640012) = 97410070; Sp( 40361640012 *)≈    97394478.9 , jdz =sp(m)/s(m) ≈ 0.999840;
G(40361640014) = 48708432; Sp( 40361640014 *)≈    48699902.7 , jdz =sp(m)/s(m) ≈ 0.999825;
G(40361640016) = 48769818; Sp( 40361640016 *)≈    48748770.9 , jdz =sp(m)/s(m) ≈ 0.999568;
G(40361640018) = 116907435;Sp( 40361640018 *)≈ 116884787.9 , jdz =sp(m)/s(m) ≈ 0.999806;
G(40361640020) = 70874625; Sp( 40361640020 *)≈    70859141.1 , jdz =sp(m)/s(m) ≈ 0.999782;
G(40361640022) = 56750882; Sp( 40361640022 *)≈    56736250.1 , jdz =sp(m)/s(m) ≈ 0.999742;
G(40361640024) = 97445848; Sp( 40361640024 *)≈    97421420.7 , jdz =sp(m)/s(m) ≈ 0.999749;
G(40361640026) = 48817766; Sp( 40361640026 *)≈    48810263.8 , jdz =sp(m)/s(m) ≈ 0.999846;
G(40361640028) = 50382922; Sp( 40361640028 *)≈    50376454.6 , jdz =sp(m)/s(m) ≈ 0.999872;
G(40361640030) = 132090919;Sp( 40361640030 *)≈ 132060310.4 , jdz =sp(m)/s(m) ≈ 0.999768;
G(40361640032) = 60127199; Sp( 40361640032 *)≈    60106307.0 , jdz =sp(m)/s(m) ≈ 0.999653;
G(40361640034) = 49715197; Sp( 40361640034 *)≈    49706233.5 , jdz =sp(m)/s(m) ≈ 0.999820;
G(40361640036) = 103157394;Sp( 40361640036 *)≈ 103123566.0 , jdz =sp(m)/s(m) ≈ 0.999672;
G(40361640038) = 48713535; Sp( 40361640038 *)≈    48703442.2 , jdz =sp(m)/s(m) ≈ 0.999793;

偶数素对数量计算式如下:
Sp( 40361640000 *) = 1/(1+ .15649 )*( 40361640000 /2 -2)*p(m) ≈ 144292836 , k(m)= 2.96306
Sp( 40361640002 *) = 1/(1+ .15649 )*( 40361640002 /2 -2)*p(m) ≈ 48697239.4 , k(m)= 1
Sp( 40361640004 *) = 1/(1+ .15649 )*( 40361640004 /2 -2)*p(m) ≈ 60002553.9 , k(m)= 1.232155
Sp( 40361640006 *) = 1/(1+ .15649 )*( 40361640006 /2 -2)*p(m) ≈ 106530299 , k(m)= 2.187604
Sp( 40361640008 *) = 1/(1+ .15649 )*( 40361640008 /2 -2)*p(m) ≈ 48697239.4 , k(m)= 1
Sp( 40361640010 *) = 1/(1+ .15649 )*( 40361640010 /2 -2)*p(m) ≈ 67803329.4 , k(m)= 1.392344
Sp( 40361640012 *) = 1/(1+ .15649 )*( 40361640012 /2 -2)*p(m) ≈ 97394478.9 , k(m)= 2
Sp( 40361640014 *) = 1/(1+ .15649 )*( 40361640014 /2 -2)*p(m) ≈ 48699902.7 , k(m)= 1.000055
Sp( 40361640016 *) = 1/(1+ .15649 )*( 40361640016 /2 -2)*p(m) ≈ 48748770.9 , k(m)= 1.001058
Sp( 40361640018 *) = 1/(1+ .15649 )*( 40361640018 /2 -2)*p(m) ≈ 116884787.9 , k(m)= 2.400234
Sp( 40361640020 *) = 1/(1+ .15649 )*( 40361640020 /2 -2)*p(m) ≈ 70859141.1 , k(m)= 1.455096
Sp( 40361640022 *) = 1/(1+ .15649 )*( 40361640022 /2 -2)*p(m) ≈ 56736250.1 , k(m)= 1.165081
Sp( 40361640024 *) = 1/(1+ .15649 )*( 40361640024 /2 -2)*p(m) ≈ 97421420.7 , k(m)= 2.000553
Sp( 40361640026 *) = 1/(1+ .15649 )*( 40361640026 /2 -2)*p(m) ≈ 48810263.8 , k(m)= 1.002321
Sp( 40361640028 *) = 1/(1+ .15649 )*( 40361640028 /2 -2)*p(m) ≈ 50376454.6 , k(m)= 1.034483
Sp( 40361640030 *) = 1/(1+ .15649 )*( 40361640030 /2 -2)*p(m) ≈ 132060310.4 , k(m)= 2.711864
Sp( 40361640032 *) = 1/(1+ .15649 )*( 40361640032 /2 -2)*p(m) ≈ 60106307 , k(m)= 1.234286
Sp( 40361640034 *) = 1/(1+ .15649 )*( 40361640034 /2 -2)*p(m) ≈ 49706233.5 , k(m)= 1.02072
Sp( 40361640036 *) = 1/(1+ .15649 )*( 40361640036 /2 -2)*p(m) ≈ 103123566 , k(m)= 2.117647
Sp( 40361640038 *) = 1/(1+ .15649 )*( 40361640038 /2 -2)*p(m) ≈ 48703442.2 , k(m)= 1.000127

start time =13:10:24,end time=13:22:50 ,
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