鲁思顺定理（十二）

yangchuanju

11亿的哥猜素数对是2748595，平方根内最大素数是31607，素数连乘积是0.00774779866，奇合数连乘积是244.88，合数连乘积是3869912.48,
乘以加强系数3/7*5/18得460703，取作大于等于11亿的偶数的哥猜素数对都不小于46万。

以讹传讹——代鲁思顺发布

鲁思顺定理（十二）
大于等于11亿的偶数的哥猜素数对都不少于46万。

cuikun-186

r2(1100000000)≥0.8488*1100000000/(ln1100000000)2≈2,154,249.569598747

r2(1100000000)≥2,154,249


r2(1100000002)≥0.8488*1100000002/(ln1100000002)2≈2,154,250

r2(1100000002)≥2,154,250

yangchuanju

特别声明
1楼数据有误，素数对是11亿的单计数，根内最大素数和连乘积是10亿的；
三转两换得合数连乘积387万，既不接近10亿哥猜数227万，也不接近11亿哥猜数275万，原来这里还有一个1.3333和单双计在作祟；
387万除以2再乘以1.3333得258万，是10亿单计哥猜数2274205的1.1356倍，表明连乘积计算值要比真实哥猜数大一些。
387万乘以加强系数3/7*5/18得46万，在这里混淆了单双计的问题，也回避了波动因子的问题；可以说鲁思顺定理数八不归。

另鲁思顺的1703027原本是稍大于10亿的10亿+304的单计哥猜数（10亿+236至10亿+364之间的65个偶数的最小哥猜数），被拿来当作“圣数”——
标称为“大于11亿的偶数的哥猜素数对不少于1703027“，正确否不得而知！

时空伴随者

从2^n*p的哥猜数的波动性可知，主项可估，余项不可控。
2026-09-15 09:55:12
D(1100000002) = 1856261         [2, 550000001]
D(1100000014) = 1857025         [2, 550000007]
D(1100000042) = 1856780         [2, 550000021]
D(1100000056) = 1857445         [2, 2, 2, 137500007]
D(1100000072) = 1857201         [2, 2, 2, 137500009]
D(1100000182) = 1856808         [2, 550000091]
D(1100000192) = 1856817         [2, 2, 2, 2, 2, 2, 17187503]
D(1100000194) = 1856591         [2, 550000097]
D(1100000204) = 1856237         [2, 2, 275000051]
D(1100000206) = 1856193         [2, 550000103]
D(1100000224) = 1856944         [2, 2, 2, 2, 2, 34375007]
D(1100000228) = 1855953         [2, 2, 275000057]
D(1100000236) = 1855517         [2, 2, 275000059]
D(1100000296) = 1856426         [2, 2, 2, 137500037]
D(1100000318) = 1855007         [2, 550000159]
D(1100000332) = 1857279         [2, 2, 275000083]
D(1100000336) = 1856823         [2, 2, 2, 2, 68750021]
D(1100000338) = 1855009         [2, 550000169]
D(1100000348) = 1856210         [2, 2, 275000087]
D(1100000378) = 1855937         [2, 550000189]
D(1100000386) = 1855599         [2, 550000193]
D(1100000416) = 1857456         [2, 2, 2, 2, 2, 34375013]
D(1100000452) = 1855644         [2, 2, 275000113]
D(1100000464) = 1856555         [2, 2, 2, 2, 68750029]
D(1100000474) = 1855803         [2, 550000237]
D(1100000498) = 1854583         [2, 550000249]
D(1100000518) = 1855001         [2, 550000259]
D(1100000542) = 1856587         [2, 550000271]
D(1100000548) = 1856069         [2, 2, 275000137]
D(1100000612) = 1855323         [2, 2, 275000153]
D(1100000618) = 1856087         [2, 550000309]
D(1100000698) = 1855662         [2, 550000349]
D(1100000732) = 1857158         [2, 2, 275000183]
D(1100000756) = 1855381         [2, 2, 275000189]
D(1100000764) = 1856032         [2, 2, 275000191]
D(1100000812) = 1855344         [2, 2, 275000203]
D(1100000816) = 1857605         [2, 2, 2, 2, 68750051]
D(1100000854) = 1857507         [2, 550000427]
D(1100000882) = 1855305         [2, 550000441]
D(1100000884) = 1855728         [2, 2, 275000221]
D(1100000894) = 1856518         [2, 550000447]
D(1100000926) = 1856933         [2, 550000463]
D(1100000942) = 1856604         [2, 550000471]
D(1100000966) = 1855906         [2, 550000483]
D(1100000984) = 1855774         [2, 2, 2, 137500123]
D(1100000998) = 1855726         [2, 550000499]
D(1100001004) = 1854472         [2, 2, 275000251]
D(1100001016) = 1855254         [2, 2, 2, 137500127]
D(1100001038) = 1853703         [2, 550000519]
D(1100001052) = 1856563         [2, 2, 275000263]
D(1100001062) = 1856280         [2, 550000531]
D(1100001064) = 1856042         [2, 2, 2, 137500133]
D(1100001076) = 1856627         [2, 2, 275000269]
D(1100001092) = 1856507         [2, 2, 275000273]
D(1100001094) = 1855764         [2, 550000547]
D(1100001118) = 1856968         [2, 550000559]
D(1100001134) = 1855916         [2, 550000567]
D(1100001152) = 1857098         [2, 2, 2, 2, 2, 2, 2, 8593759]
D(1100001164) = 1856470         [2, 2, 275000291]
D(1100001206) = 1855652         [2, 550000603]
D(1100001274) = 1855310         [2, 550000637]
D(1100001284) = 1856533         [2, 2, 275000321]
D(1100001304) = 1857348         [2, 2, 2, 137500163]
D(1100001316) = 1856021         [2, 2, 275000329]
D(1100001332) = 1855562         [2, 2, 275000333]
D(1100001338) = 1856396         [2, 550000669]
D(1100001368) = 1855448         [2, 2, 2, 137500171]
D(1100001394) = 1856327         [2, 550000697]
D(1100001398) = 1855259         [2, 550000699]
D(1100001418) = 1856946         [2, 550000709]
D(1100001424) = 1857404         [2, 2, 2, 2, 68750089]
D(1100001488) = 1856695         [2, 2, 2, 2, 68750093]
D(1100001502) = 1854439         [2, 550000751]
D(1100001512) = 1855776         [2, 2, 2, 137500189]
D(1100001514) = 1855325         [2, 550000757]
D(1100001544) = 1854449         [2, 2, 2, 137500193]
D(1100001548) = 1855533         [2, 2, 275000387]
D(1100001556) = 1855784         [2, 2, 275000389]
D(1100001568) = 1856916         [2, 2, 2, 2, 2, 34375049]
D(1100001572) = 1856425         [2, 2, 275000393]
D(1100001586) = 1857379         [2, 550000793]
D(1100001608) = 1854997         [2, 2, 2, 137500201]
D(1100001652) = 1857294         [2, 2, 275000413]
D(1100001676) = 1856412         [2, 2, 275000419]
D(1100001692) = 1857122         [2, 2, 275000423]
D(1100001704) = 1855832         [2, 2, 2, 137500213]
D(1100001736) = 1855789         [2, 2, 2, 137500217]
D(1100001746) = 1856768         [2, 550000873]
D(1100001766) = 1855152         [2, 550000883]
D(1100001778) = 1857304         [2, 550000889]
D(1100001832) = 1855872         [2, 2, 2, 137500229]
D(1100001836) = 1855980         [2, 2, 275000459]
D(1100001844) = 1857260         [2, 2, 275000461]
D(1100001862) = 1857262         [2, 550000931]
D(1100001872) = 1855864         [2, 2, 2, 2, 68750117]
D(1100001878) = 1857143         [2, 550000939]
D(1100001926) = 1854955         [2, 550000963]
D(1100001976) = 1856944         [2, 2, 2, 137500247]
D(1100001982) = 1856660         [2, 550000991]
D(1100001986) = 1855592         [2, 550000993]
D(1100001992) = 1854276         [2, 2, 2, 137500249]
D(1100002012) = 1856283         [2, 2, 275000503]
D(1100002052) = 1856699         [2, 2, 275000513]
D(1100002054) = 1855204         [2, 550001027]
D(1100002088) = 1855416         [2, 2, 2, 137500261]
D(1100002126) = 1856316         [2, 550001063]
D(1100002144) = 1856991         [2, 2, 2, 2, 2, 34375067]
D(1100002166) = 1856123         [2, 550001083]
D(1100002168) = 1855831         [2, 2, 2, 137500271]
D(1100002172) = 1855480         [2, 2, 275000543]
D(1100002184) = 1856427         [2, 2, 2, 137500273]
D(1100002196) = 1855037         [2, 2, 275000549]
D(1100002198) = 1856803         [2, 550001099]
D(1100002214) = 1856800         [2, 550001107]
D(1100002216) = 1855610         [2, 2, 2, 137500277]
D(1100002258) = 1856170         [2, 550001129]
D(1100002262) = 1856155         [2, 550001131]
D(1100002268) = 1855700         [2, 2, 275000567]
D(1100002286) = 1855781         [2, 550001143]
D(1100002292) = 1855347         [2, 2, 275000573]
D(1100002294) = 1856063         [2, 550001147]
D(1100002298) = 1855784         [2, 550001149]
D(1100002328) = 1856867         [2, 2, 2, 137500291]
D(1100002352) = 1856291         [2, 2, 2, 2, 68750147]
D(1100002412) = 1857048         [2, 2, 275000603]
D(1100002418) = 1855025         [2, 550001209]
D(1100002426) = 1857647         [2, 550001213]
D(1100002466) = 1854865         [2, 550001233]
D(1100002474) = 1856083         [2, 550001237]
D(1100002496) = 1856282         [2, 2, 2, 2, 2, 2, 17187539]
D(1100002528) = 1855581         [2, 2, 2, 2, 2, 34375079]
D(1100002534) = 1856244         [2, 550001267]
D(1100002556) = 1857332         [2, 2, 275000639]
D(1100002576) = 1856008         [2, 2, 2, 2, 68750161]
D(1100002588) = 1854394         [2, 2, 275000647]
D(1100002594) = 1857449         [2, 550001297]
D(1100002604) = 1856006         [2, 2, 275000651]
D(1100002634) = 1855935         [2, 550001317]
D(1100002642) = 1857985         [2, 550001321]
D(1100002648) = 1856245         [2, 2, 2, 137500331]
D(1100002658) = 1858241         [2, 550001329]
D(1100002672) = 1856284         [2, 2, 2, 2, 68750167]
D(1100002678) = 1857221         [2, 550001339]
D(1100002688) = 1856386         [2, 2, 2, 2, 2, 2, 2, 8593771]
D(1100002702) = 1857532         [2, 550001351]
D(1100002718) = 1857185         [2, 550001359]
D(1100002724) = 1856674         [2, 2, 275000681]
D(1100002762) = 1855861         [2, 550001381]
D(1100002766) = 1855430         [2, 550001383]
D(1100002814) = 1857659         [2, 550001407]
D(1100002856) = 1856713         [2, 2, 2, 137500357]
D(1100002864) = 1856700         [2, 2, 2, 2, 68750179]
D(1100002898) = 1856029         [2, 550001449]
D(1100002936) = 1856587         [2, 2, 2, 137500367]
D(1100002942) = 1856778         [2, 550001471]
D(1100002958) = 1856621         [2, 550001479]
D(1100003006) = 1856252         [2, 550001503]
D(1100003018) = 1856717         [2, 550001509]
D(1100003026) = 1857490         [2, 550001513]
D(1100003066) = 1856186         [2, 550001533]
D(1100003078) = 1855416         [2, 550001539]
D(1100003098) = 1856546         [2, 550001549]
D(1100003116) = 1857085         [2, 2, 275000779]
D(1100003158) = 1858058         [2, 550001579]
D(1100003174) = 1855571         [2, 550001587]
D(1100003182) = 1856475         [2, 550001591]
D(1100003288) = 1857360         [2, 2, 2, 137500411]
D(1100003302) = 1856664         [2, 550001651]
D(1100003342) = 1856866         [2, 550001671]
D(1100003374) = 1856515         [2, 550001687]
D(1100003378) = 1855316         [2, 550001689]
D(1100003384) = 1856723         [2, 2, 2, 137500423]
D(1100003392) = 1856744         [2, 2, 2, 2, 2, 2, 17187553]
D(1100003396) = 1856650         [2, 2, 275000849]
D(1100003452) = 1856255         [2, 2, 275000863]
D(1100003456) = 1855846         [2, 2, 2, 2, 2, 2, 2, 8593777]
D(1100003494) = 1855700         [2, 550001747]
D(1100003512) = 1855499         [2, 2, 2, 137500439]
D(1100003522) = 1855379         [2, 550001761]
D(1100003578) = 1856338         [2, 550001789]
D(1100003624) = 1856754         [2, 2, 2, 137500453]
D(1100003626) = 1855783         [2, 550001813]
D(1100003638) = 1855633         [2, 550001819]
D(1100003644) = 1855805         [2, 2, 275000911]
D(1100003662) = 1856580         [2, 550001831]
D(1100003692) = 1856264         [2, 2, 275000923]
D(1100003732) = 1855691         [2, 2, 275000933]
D(1100003776) = 1856253         [2, 2, 2, 2, 2, 2, 17187559]
D(1100003804) = 1858151         [2, 2, 275000951]
D(1100003816) = 1855670         [2, 2, 2, 137500477]
D(1100003834) = 1855758         [2, 550001917]
D(1100003848) = 1856471         [2, 2, 2, 137500481]
D(1100003878) = 1855859         [2, 550001939]
D(1100003882) = 1856715         [2, 550001941]
D(1100003902) = 1856533         [2, 550001951]
D(1100003914) = 1856646         [2, 550001957]
D(1100003992) = 1855935         [2, 2, 2, 137500499]
D(1100003998) = 1855569         [2, 550001999]
用时 1452.80091 秒

重生888@

时空伴随者 发表于 2026-9-15 10:25
从2^n*p的哥猜数的波动性可知，主项可估，余项不可控。
2026-09-15 09:55:12
D(1100000002) = 1856261         [ ...

这些数都是吴代业30n+（2.  4.  8.  14.  16.  22.  26.  29）数，只看它们尾数，就知道它们素数对大致相等！
它们都有两种组合，有一种是对称重复的（也就是哈-李公式不得已，使用双计的原因！）它们的概率都是5/8；

重生888@

顶上来，让时空伴随者网友看看！

1100000002=（1856261）

1100000004=1856261/1.5*3=（3712522）       注：不计该数有小因子增益。

lusishun

每一种算法，都值得总结，计录.