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发表于 2018-7-20 20:23
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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 ,
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