偶数2A的哥德巴赫猜想解值的条件与素对数量的近似计算方法

重生888@

那先生计算式没规律可循。

重生888@

预计：
D（66666662）=150891
D（66666664）=150891            不知那先生K=？

D（77777774）=172846
D（77777776）=1  72846           K=？

重生888@

那就各自为是吧，不再争论！

愚工688

重生888@ 发表于 2022-5-10 06:00
预计：
D（66666662）=150891
D（66666664）=150891            不知那先生K=？

G(66666662) = 152526
G(66666664) = 152847
G(66666666) = 351040
G(66666668) = 161873

G(77777772) = 353329
G(77777774) = 180308
G(77777776) = 175183
G(77777778) = 381782

素对下界连乘式计算式：
inf( 66666662 ) = 1/(1+ .13 )*( 66666662 /2 -2)*p(m) ≈ 151073.8 ；Δ≈-0.00952；
inf( 66666664 ) = 1/(1+ .13 )*( 66666664 /2 -2)*p(m) ≈ 151194.8 ；Δ≈-0.01081；
inf( 66666666 ) = 1/(1+ .13 )*( 66666666 /2 -2)*p(m) ≈ 346434.3 ；Δ≈-0.01312；
inf( 66666668 ) = 1/(1+ .13 )*( 66666668 /2 -2)*p(m) ≈ 160312.8 ；Δ≈-0.00964；

inf( 77777772 ) = 1/(1+ .13 )*( 77777772 /2 -2)*p(m) ≈ 349844.4 ；Δ≈-0.00986；
inf( 77777774 ) = 1/(1+ .13 )*( 77777774 /2 -2)*p(m) ≈ 178156    ；Δ≈-0.01194；
inf( 77777776 ) = 1/(1+ .13 )*( 77777776 /2 -2)*p(m) ≈ 173207.3 ；Δ≈-0.01128；
inf( 77777778 ) = 1/(1+ .13 )*( 77777778 /2 -2)*p(m) ≈ 377906.8 ；Δ≈-0.01015；

式中：P(m)= P(2·3·…·n·…·r)
                  =P(2)·P(3)·…·P(n)·…·P(r)
                  =0.5·f(3)·…·f(n)·…·f(r).
其中：3≤ n≤r；n是素数。f(n)=(n-1)/n, [jn=0时]；或f(n)=(n-2)/n, [jn>0时] 。jn系A除以n时的余数。

素数连乘式也可变形成另外一种形式：P(m)=0.5×π(1-2/p)π[(p1-1)/(p1-2)]，

重生888@

愚工688 发表于 2022-5-10 17:32
G(66666662) = 152526
G(66666664) = 152847
G(66666666) = 351040

谢谢愚工先生数据！看了愚工先生和那先生的几个数据，感到很欣慰！因为大家都在往哥猜计算方向努力！不管谁好谁差，都有殊途同归的可能！
由此我想到。二位先生说方差小，能不能辛苦点，提供1亿以上，10亿以下某段150个连续偶数素对数据，各自分析一下？谢谢！

愚工688

重生888@ 发表于 2022-5-11 01:43
谢谢愚工先生数据！看了愚工先生和那先生的几个数据，感到很欣慰！因为大家都在往哥猜计算方向努力！不管 ...

800000000:100:2

G(800000000) = 1859646
G(800000002) = 1394175
G(800000004) = 2789860
G(800000006) = 1522021
G(800000008) = 1486995
G(800000010) = 3718072
G(800000012) = 1738253
G(800000014) = 1593204
G(800000016) = 2957783
G(800000018) = 1394645
G(800000020) = 1895633
G(800000022) = 2797279
G(800000024) = 1396755
G(800000026) = 1698377
G(800000028) = 2788333
G(800000030) = 1948157
G(800000032) = 1577577
G(800000034) = 2790158
G(800000036) = 1628123
G(800000038) = 1396894
G(800000040) = 4459908
G(800000042) = 1486587
G(800000044) = 1405556
G(800000046) = 2804478
G(800000048) = 1397223
G(800000050) = 1888677
G(800000052) = 2823346
G(800000054) = 1780390
G(800000056) = 1395300
G(800000058) = 3398438
G(800000060) = 1859392
G(800000062) = 1404995
G(800000064) = 2789782
G(800000066) = 1425532
G(800000068) = 1676448
G(800000070) = 3718192
G(800000072) = 1403899
G(800000074) = 1442974
G(800000076) = 3117931
G(800000078) = 1394719
G(800000080) = 2066658
G(800000082) = 3360120
G(800000084) = 1520681
G(800000086) = 1395180
G(800000088) = 2886241
G(800000090) = 1940208
G(800000092) = 1477211
G(800000094) = 2823158
G(800000096) = 1672611
G(800000098) = 1395177
G(800000100) = 3777779
G(800000102) = 1548976
G(800000104) = 1396514
G(800000106) = 2794614
G(800000108) = 1393967
G(800000110) = 2597103
G(800000112) = 2787558
G(800000114) = 1406359
G(800000116) = 1445303
G(800000118) = 2861353
G(800000120) = 1859218
G(800000122) = 1496543
G(800000124) = 3716440
G(800000126) = 1422355
G(800000128) = 1408424
G(800000130) = 3952791
G(800000132) = 1394532
G(800000134) = 1394569
G(800000136) = 3196490
G(800000138) = 1696474
G(800000140) = 1870774
G(800000142) = 2789123
G(800000144) = 1489777
G(800000146) = 1548564
G(800000148) = 2927480
G(800000150) = 1861795
G(800000152) = 1673198
G(800000154) = 2787622
G(800000156) = 1394118
G(800000158) = 1395075
G(800000160) = 3802774
G(800000162) = 1569545
G(800000164) = 1395119
G(800000166) = 3348120
G(800000168) = 1749699
G(800000170) = 1868588
G(800000172) = 2798622
G(800000174) = 1411423
G(800000176) = 1409604
G(800000178) = 2998538
G(800000180) = 2234232
G(800000182) = 1394588
G(800000184) = 2790473
G(800000186) = 1396044
G(800000188) = 1522195
G(800000190) = 4130685
G(800000192) = 1395142
G(800000194) = 1691141
G(800000196) = 2788447
G(800000198) = 1444997

count = 100, algorithm = 2, working threads = 2, time use 0.248 sec

愚工688

重生888@ 发表于 2022-5-11 01:43
谢谢愚工先生数据！看了愚工先生和那先生的几个数据，感到很欣慰！因为大家都在往哥猜计算方向努力！不管 ...

900000000:150:2

G(900000000) = 4132595
G(900000002) = 1724113
G(900000004) = 1550567
G(900000006) = 3099095
G(900000008) = 1550273
G(900000010) = 2705849
G(900000012) = 3146839
G(900000014) = 1548864
G(900000016) = 1559399
G(900000018) = 3290846
G(900000020) = 2125729
G(900000022) = 1557092
G(900000024) = 4133757
G(900000026) = 1675012
G(900000028) = 1628017
G(900000030) = 4131501
G(900000032) = 1550001
G(900000034) = 1549524
G(900000036) = 3506343
G(900000038) = 1859783
G(900000040) = 2101486
G(900000042) = 3193275
G(900000044) = 1550753
G(900000046) = 1725605
G(900000048) = 3099169
G(900000050) = 2067801
G(900000052) = 1859832
G(900000054) = 3105182
G(900000056) = 1651522
G(900000058) = 1550503
G(900000060) = 4559888
G(900000062) = 1782092
G(900000064) = 1571434
G(900000066) = 3737068
G(900000068) = 1722972
G(900000070) = 2068586
G(900000072) = 3100579
G(900000074) = 1656366
G(900000076) = 1552704
G(900000078) = 3101385
G(900000080) = 2480388
G(900000082) = 1550444
G(900000084) = 3099176
G(900000086) = 1583275
G(900000088) = 1691729
G(900000090) = 4593130
G(900000092) = 1565873
G(900000094) = 2179483
G(900000096) = 3100862
G(900000098) = 1551036
G(900000100) = 2101099
G(900000102) = 3239736
G(900000104) = 1550917
G(900000106) = 1549996
G(900000108) = 3718502
G(900000110) = 2065696
G(900000112) = 1737699
G(900000114) = 3385825
G(900000116) = 1551881
G(900000118) = 1573036
G(900000120) = 4330465
G(900000122) = 1932823
G(900000124) = 1548846
G(900000126) = 3102407
G(900000128) = 1665580
G(900000130) = 2083394
G(900000132) = 3281849
G(900000134) = 1722638
G(900000136) = 1913815
G(900000138) = 3126310
G(900000140) = 2257300
G(900000142) = 1550248
G(900000144) = 3133863
G(900000146) = 1580738
G(900000148) = 1588456
G(900000150) = 4958468
G(900000152) = 1608025
G(900000154) = 1552429
G(900000156) = 3443658
G(900000158) = 1559303
G(900000160) = 2101473
G(900000162) = 3309207
G(900000164) = 1861130
G(900000166) = 1783468
G(900000168) = 3100567
G(900000170) = 2188086
G(900000172) = 1550227
G(900000174) = 3099172
G(900000176) = 1550262
G(900000178) = 2065653
G(900000180) = 4226966
G(900000182) = 1550292
G(900000184) = 1645861
G(900000186) = 3133608
G(900000188) = 1549720
G(900000190) = 2069038
G(900000192) = 4057847
G(900000194) = 1549455
G(900000196) = 1653293
G(900000198) = 3129937
G(900000200) = 2305285
G(900000202) = 1558758
G(900000204) = 3099928
G(900000206) = 1860166
G(900000208) = 1696196
G(900000210) = 4480418
G(900000212) = 1623607
G(900000214) = 1557129
G(900000216) = 3100700
G(900000218) = 1711315
G(900000220) = 2480363
G(900000222) = 3501157
G(900000224) = 1549885
G(900000226) = 1551037
G(900000228) = 3113726
G(900000230) = 2220691
G(900000232) = 1581295
G(900000234) = 3810887
G(900000236) = 1550210
G(900000238) = 1550165
G(900000240) = 4133962
G(900000242) = 1549204
G(900000244) = 1887447
G(900000246) = 3412421
G(900000248) = 1860974
G(900000250) = 2067638
G(900000252) = 3126581
G(900000254) = 1558247
G(900000256) = 1549434
G(900000258) = 3270688
G(900000260) = 2095775
G(900000262) = 1877154
G(900000264) = 3306641
G(900000266) = 1767575
G(900000268) = 1611313
G(900000270) = 4509078
G(900000272) = 1550385
G(900000274) = 1583550
G(900000276) = 3719310
G(900000278) = 1575801
G(900000280) = 2098371
G(900000282) = 3100998
G(900000284) = 1688909
G(900000286) = 1549656
G(900000288) = 3466694
G(900000290) = 2478542
G(900000292) = 1553638
G(900000294) = 3144076
G(900000296) = 1691989
G(900000298) = 1653429

count = 150, algorithm = 2, working threads = 2, time use 0.366 sec

重生888@

愚工688 发表于 2022-5-11 11:25
900000000:150:2

G(900000000) = 4132595

谢谢愚工先生！真是神速！

vfbpgyfk

借用愚工688计算出的真实素数对个数来比对，后面给出了我计算的任意偶数平均素数对个数G(N)、计算类别偶数的系数k、对应偶数的类别偶数平均素数对个数GD(N)，及误差和误差率%。
在转换成表时发现每页能存放52行数据，于是，临时随机按明天（今天是奇数日）为开始数值计算出真实素数对个数，构成亿级连续偶数10个分配到每个表的后面，仅供参考和比对。

重生888@

vfbpgyfk 发表于 2022-5-11 17:55
借用愚工688计算出的真实素数对个数来比对，后面给出了我计算的任意偶数平均素数对个数G(N)、计算类别偶数 ...

请那先生帮忙把900000000--9000000298这150个偶数素对真值合计一下，我手工合计不了，谢谢！
我计算150个偶数素对合计1016038*32*10=325132160        预估 误差0.05左右