G(N)≈1.40625KN/(lnN)^2 (双记法)
①当偶数N不能被6整除,则K=2/3
②当偶数N能被6整除,而不能被5整除。则K=1
③当偶数N分别能被6和5整除,则K=4/3
G(N)≈1.40625KN/(lnN)^2 (双记法)
①当偶数N不能被6整除,则K=2/3
②当偶数N能被6整除,而不能被5整除。则K=1
③当偶数N分别能被6和5整除,则K=4/3
以下为大偶数素数对真值与公式计算值比较,(素数对真值引自S云淡风清X先生提供的资料)
------------N---------素数对真值-------公式计算值-------相对误差
D(20240大偶82500) = 4820225---------- 4132575-----------0.143
D(2024082502) = 3711160-----------4132575----------负0.114
D(2024082504) = 6647778-----------6198862-----------0.068
D(2024082506) = 3296961-----------4132575----------负0.254
D(2024082508) = 3933571---------- 4132575----------0.048
D(2024082510) = 8659149---------- 8265149----------0.046
D(2024082512) = 3215506----------4132575-----------负0.223
D(2024082514) = 3216243 ---------4132575-----------负0.223
D(2024082516) = 6430516--------- 6198862-----------0.036
D(2024082518) = 3220481----------4132575-----------负0.221
D(2024082520) = 4314250----------4132575-----------0.042
D(2024082522) = 8570207----------6198862----------0.285
D(2024082524) = 3366234--------- 4132575----------负0.228
D(2024082526) = 3428292 ----------4132575---------负0.205
D(2024082528) = 7011298--------- -6198862----------0.116
D(2024082530) = 4284867----------4132575----------0.036
D(2024082532) = 3214267 ---------4132575----------负0.286
D(2024082534) = 6530819--------- 6198862-----------0.051
D(2024082536) = 3856263--------- 4132575----------负0.105
D(2024082538) = 3212676 ---------4132575----------负0.286
D(2024082540) = 9075199--------- 8265150-----------0.089
D(2024082542) = 3327278--------- 4132575----------负0.278
D(2024082544) = 3582572--------- 4132575---------- 负0.154
D(2024082546) = 6426323--------- 6198862----------0.035
D(2024082548) = 3213564 --------- 4132575----------负0.286
D(2024082550) = 5332178 --------- 4132575----------0.225
D(2024082552) = 6429928 --------- 6198862----------0.036
D(2024082554) = 3509473 --------- 4132575----------负0.145
D(2024082556) = 3271699--------- 4132575----------负0.263
D(2024082558) = 6613720 --------- 6198862----------0.063
D(2024082560) = 4570128--------- 4132575----------0.096
D(2024082562) = 3214460 ----------4132575---------- 负0.286
D(2024082564) = 7725388 --------- 6198862----------0.198
D(2024082566) = 3723035 --------- 4132575----------负0.110
D(2024082568) = 3214696 --------- 4132575----------负0.286
D(2024082570) = 8977429--------- 8265150----------0.079
D(2024082572) = 3244288 --------- 4132575----------负0.274
D(2024082574) = 3233367 --------- 4132575----------负0.278
D(2024082576) = 6425910 --------- 6198862-----------0.035
D(2024082578) = 4083191---------- 4132575----------负0.120
D(2024082580) = 4674941 --------- 4132575----------0.116
D(2024082582) = 6429174--------- -6198862----------0.036
D(2024082584) = 3292783 --------- 4132575----------负0.255
D(2024082586) = 3213699 --------- 4132575----------负0.286
D(2024082588) = 7326220 --------- 6198862----------0.154
D(2024082590) = 4284303---------- 4132575----------0.035
D(2024082592) = 3856124 --------- 4132575----------负0.072
D(2024082594) = 6857843--------- 6198862-----------0.096
D(2024082596) = 3278513--------- 4132575-----------负0.261
D(2024082598) = 3213903--------- 4132575-----------负0.286
①当偶数N不能被6整除,则K=2/3
②当偶数N能被6整除,而不能被5整除。则K=1
③当偶数N分别能被6和5整除,则K=4/3
G(N)≈1.40625KN/(lnN)^2 (双记法)
①当偶数N不能被6整除,则K=2/3
②当偶数N能被6整除,而不能被5整除。则K=1
③当偶数N分别能被6和5整除,则K=4/3
以下为大偶数素数对真值与公式计算值比较,(素数对真值引自S云淡风清X先生提供的资料)
------------N---------素数对真值-------公式计算值-------相对误差
D(20240大偶82500) = 4820225---------- 4132575-----------0.143
D(2024082502) = 3711160-----------4132575----------负0.114
D(2024082504) = 6647778-----------6198862-----------0.068
D(2024082506) = 3296961-----------4132575----------负0.254
D(2024082508) = 3933571---------- 4132575----------0.048
D(2024082510) = 8659149---------- 8265149----------0.046
D(2024082512) = 3215506----------4132575-----------负0.223
D(2024082514) = 3216243 ---------4132575-----------负0.223
D(2024082516) = 6430516--------- 6198862-----------0.036
D(2024082518) = 3220481----------4132575-----------负0.221
D(2024082520) = 4314250----------4132575-----------0.042
D(2024082522) = 8570207----------6198862----------0.285
D(2024082524) = 3366234--------- 4132575----------负0.228
D(2024082526) = 3428292 ----------4132575---------负0.205
D(2024082528) = 7011298--------- -6198862----------0.116
D(2024082530) = 4284867----------4132575----------0.036
D(2024082532) = 3214267 ---------4132575----------负0.286
D(2024082534) = 6530819--------- 6198862-----------0.051
D(2024082536) = 3856263--------- 4132575----------负0.105
D(2024082538) = 3212676 ---------4132575----------负0.286
D(2024082540) = 9075199--------- 8265150-----------0.089
D(2024082542) = 3327278--------- 4132575----------负0.278
D(2024082544) = 3582572--------- 4132575---------- 负0.154
D(2024082546) = 6426323--------- 6198862----------0.035
D(2024082548) = 3213564 --------- 4132575----------负0.286
D(2024082550) = 5332178 --------- 4132575----------0.225
D(2024082552) = 6429928 --------- 6198862----------0.036
D(2024082554) = 3509473 --------- 4132575----------负0.145
D(2024082556) = 3271699--------- 4132575----------负0.263
D(2024082558) = 6613720 --------- 6198862----------0.063
D(2024082560) = 4570128--------- 4132575----------0.096
D(2024082562) = 3214460 ----------4132575---------- 负0.286
D(2024082564) = 7725388 --------- 6198862----------0.198
D(2024082566) = 3723035 --------- 4132575----------负0.110
D(2024082568) = 3214696 --------- 4132575----------负0.286
D(2024082570) = 8977429--------- 8265150----------0.079
D(2024082572) = 3244288 --------- 4132575----------负0.274
D(2024082574) = 3233367 --------- 4132575----------负0.278
D(2024082576) = 6425910 --------- 6198862-----------0.035
D(2024082578) = 4083191---------- 4132575----------负0.120
D(2024082580) = 4674941 --------- 4132575----------0.116
D(2024082582) = 6429174--------- -6198862----------0.036
D(2024082584) = 3292783 --------- 4132575----------负0.255
D(2024082586) = 3213699 --------- 4132575----------负0.286
D(2024082588) = 7326220 --------- 6198862----------0.154
D(2024082590) = 4284303---------- 4132575----------0.035
D(2024082592) = 3856124 --------- 4132575----------负0.072
D(2024082594) = 6857843--------- 6198862-----------0.096
D(2024082596) = 3278513--------- 4132575-----------负0.261
D(2024082598) = 3213903--------- 4132575-----------负0.286