比对法求哥猜数

yangchuanju · 发表于 2023-3-23 12:40

本帖最后由 yangchuanju 于 2023-3-23 12:45 编辑

比对法求哥猜数
曾经用比对法计算过某一个较大偶数的计算值，获得了ysr老师的好评，认为计算精度较高。

那宝吉《抛砖引玉》101楼贴
http://www.mathchina.com/bbs/for ... ;page=11#pid2500384
yangchuanju  发表于 2023-2-24 18:56
偶数  2023022488888
分解式  2*2*2*1493*169375627
平方根  1422330
最大素数  1422293
∏(p-2)/p 0.004146772
∏(p-1)/(p-2)  1.000670691
N/ln(N)^2  2519622405
连乘积计算式N/4*∏(p-2)/p*∏(p-1)/(p-2)
单计  2098660061
哈代计算式c*∏(p-1)/(p-2)*N/ln(N)^2
单计  1664474102
G(2000000000000)=2362547893
除以1.3333，乘以1.00067等于 1773099324
除以2*10^12/ln(2^10^12)^2，乘以N/ln(N)^2
2*10^12/ln(2^10^12)^2  2492962026
真值近似值 1792061306

附注：愚公老师后来给出的真值是1792088879！

ysr点评：
您的公式结果更接近实际，而且您的计算是个下限值  发表于 2023-3-20 09:36
加强筛连乘积公式结果：偶数2023022488888 其方根内最大素数1422293 方根内的素数个数m=108650 (方根为)1422329.95078076 有108649个区间，其中每个区间哥猜解素数对个数的平均值16016.1344207358 总对数为17401 发表于 2023-3-20 09:44
其中每个区间哥猜解素数对个数的平均值16016.1344207358 总对数为1740136988.67852方根内的解的个数为1475.51865828173  发表于 2023-3-20 09:45

yangchuanju · 发表于 2023-3-23 12:41

其实，我没有什么公式应用，只是将2023022488888与2000000000000的哥猜数（素数对）进行了一下比对；
根据已知的2000000000000的哥猜数通过简单的比对估算相近偶数的哥猜数。

估算8888888888=8×11×41×271×9091的素数对
已知10^10的单计素数对是18200488，除以4/3等于13650366；乘以0.8888888888等于12133659；
再乘以8888888888的波动系数1.143963等于13880462。
大傻给出的估算值是14118992，重生尚未给出估算值，至今真实值不详；
需请愚公老师出场判决了！

yangchuanju · 发表于 2023-3-23 17:03

偶数素数对波动因子素对/波因递增比
8 1 1.0000 1 ——
88 4 1.0000 4 4.0000
888 37 2.0000 18.5 4.6250
8888 95 1.1111 85.5 4.6216
88888 574 1.0295 557.5772222 6.5214
888888 8608 2.9922 2876.805556 5.1595
8888888 26422 1.0042 26310.98319 9.1459
88888888 225829 1.1466 196960.0419 7.4858
888888888 3153770 2.0571 1533082.639 7.7837
8888888888 14027804 1.1440 12262458.49 7.9986

yangchuanju · 发表于 2023-3-23 17:46

A006880 A065577
素数个数素数对数
1 4 1 2
2 25 2 6
3 168 3 28
4 1229 4 127
5 9592 5 810
6 78498 6 5402
7 664579 7 38807
8 5761455 8 291400
9 50847534 9 2274205
10 455052511 10 18200488
11 4118054813 11 149091160
12 37607912018 12 1243722370
13 346065536839 13 10533150855
14 3204941750802 14 90350630388
15 29844570422669
16 279238341033925
17 2623557157654233
18 24739954287740860
19 234057667276344607
20 2220819602560918840
21 21127269486018731928
22 201467286689315906290
23 1925320391606803968923
24 18435599767349200867866
25 176846309399143769411680
26 1699246750872437141327603
27 16352460426841680446427399
28 157589269275973410412739598
29 1520698109714272166094258063

yangchuanju · 发表于 2023-3-23 17:49

用素数个数的平方估算10^1--10^29的素数对数
估算式：单计素数对数等于c*素数个数的平方除以偶数，再乘以4/3。
偶数素数个数单计素数对真实素数对计算/真实
10 4 1.408345207 2 0.704172604
100 25 5.501348467 6 0.916891411
1000 168 24.84320946 28 0.887257481
10000 1229 132.9513965 127 1.04686139
100000 9592 809.8553914 810 0.999821471
1000000 78498 5423.83315 5402 1.004041679
10000000 664579 38876.07089 38807 1.001779856
100000000 5761455 292182.0191 291400 1.002683662
1000000000 50847534 2275772.936 2274205 1.000689443
10000000000 455052511 18226873.02 18200488 1.001449687
1E+11 4118054813 149270292.4 149091160 1.001201496
1E+12 37607912018 1244937594 1243722370 1.000977087
1E+13 3.46066E+11 10541583216 10533150855 1.000800555
1E+14 3.20494E+12 90412695877 90350630388 1.00068694
1E+15 2.98446E+13 7.84007E+11
1E+16 2.79238E+14 6.8634E+12
1E+17 2.62356E+15 6.05857E+13
1E+18 2.474E+16 5.3875E+14
1E+19 2.34058E+17 4.82209E+15
1E+20 2.22082E+18 4.34126E+16
1E+21 2.11273E+19 3.92894E+17
1E+22 2.01467E+20 3.57271E+18
1E+23 1.92532E+21 3.26284E+19
1E+24 1.84356E+22 2.9916E+20
1E+25 1.76846E+23 2.75284E+21
1E+26 1.69925E+24 2.54157E+22
1E+27 1.63525E+25 2.35372E+23
1E+28 1.57589E+26 2.18596E+24
1E+29 1.5207E+27 2.03552E+25

yangchuanju · 发表于 2023-3-23 17:55

用素数个数的平方估算10^17--10^20的素数对数
估算式：单计素数对数等于c*素数个数的平方除以偶数，再乘以波动因子。
偶数素数个数波动因子单计素数对
1d17 2.62356E+15 1.3333 6.05857E+13
2d17 5.15333E+15 1.3333 1.16879E+14
3d17 7.65001E+15 2.6667 3.43417E+14
4d17 1.01257E+16 1.3333 2.2562E+14
5d17 1.2586E+16 1.3333 2.78863E+14
6d17 1.50341E+16 2.6667 6.63167E+14
7d17 1.74723E+16 1.6000 4.60649E+14
8d17 1.99019E+16 1.3333 4.35801E+14
9d17 2.23242E+16 2.6667 9.74828E+14
10d17 2.474E+16 1.3333 5.3875E+14
11d17 2.71499E+16 1.4815 6.55375E+14
12d17 2.95545E+16 2.6667 1.28141E+15
13d17 3.19544E+16 1.4545 7.54215E+14
14d17 3.43498E+16 1.6000 8.90207E+14
15d17 3.67411E+16 2.6667 1.58428E+15
16d17 3.91286E+16 1.3333 8.42284E+14
17d17 4.15126E+16 1.4222 9.51763E+14
18d17 4.38932E+16 2.6667 1.88426E+15
19d17 4.62707E+16 1.4118 1.0502E+15
20d17 4.86452E+16 1.3333 1.04145E+15
21d17 5.10168E+16 3.2000 2.61823E+15
22d17 5.33858E+16 1.4815 1.267E+15
23d17 5.57523E+16 1.3968 1.24621E+15
24d17 5.81163E+16 2.6667 2.47744E+15
25d17 6.0478E+16 1.3333 1.28779E+15
26d17 6.28375E+16 1.4545 1.45828E+15
27d17 6.51948E+16 2.6667 2.77128E+15
28d17 6.755E+16 1.6000 1.72133E+15
29d17 6.99033E+16 1.3827 1.53809E+15
30d17 7.22547E+16 2.6667 3.06359E+15
31d17 7.46042E+16 1.3793 1.63485E+15
32d17 7.6952E+16 1.3333 1.62884E+15
33d17 7.9298E+16 2.9630 3.72724E+15
34d17 8.16424E+16 1.4222 1.84065E+15
35d17 8.39851E+16 1.6000 2.12866E+15
36d17 8.63263E+16 2.6667 3.64421E+15
37d17 8.8666E+16 1.3714 1.92369E+15
38d17 9.10042E+16 1.4118 2.0312E+15
39d17 9.33409E+16 2.9091 4.2903E+15
40d17 9.56763E+16 1.3333 2.01436E+15
41d17 9.80102E+16 1.3675 2.11516E+15
42d17 1.00343E+17 3.2000 5.06436E+15
43d17 1.02674E+17 1.3659 2.2106E+15
44d17 1.05004E+17 1.4815 2.4508E+15
45d17 1.07333E+17 2.6667 4.50687E+15
46d17 1.09661E+17 1.3968 2.41067E+15
47d17 1.11987E+17 1.3630 2.4009E+15
48d17 1.14313E+17 2.6667 4.79255E+15
49d17 1.16637E+17 1.6000 2.93255E+15
50d17 1.1896E+17 1.3333 2.49127E+15
51d17 1.21282E+17 2.8444 5.4159E+15
52d17 1.23603E+17 1.4545 2.82119E+15
53d17 1.25923E+17 1.3595 2.68507E+15
54d17 1.28242E+17 2.6667 5.36148E+15
55d17 1.3056E+17 1.4815 3.03112E+15
56d17 1.32877E+17 1.6000 3.33027E+15
57d17 1.35193E+17 2.8235 5.97687E+15
58d17 1.37508E+17 1.3827 2.97584E+15
59d17 1.39822E+17 1.3567 2.96784E+15
60d17 1.42135E+17 2.6667 5.92748E+15
61d17 1.44447E+17 1.3559 3.06181E+15
62d17 1.46759E+17 1.3793 3.16322E+15
63d17 1.49069E+17 3.2000 7.45138E+15
64d17 1.51379E+17 1.3333 3.15167E+15
65d17 1.53688E+17 1.4545 3.48935E+15
66d17 1.55996E+17 2.9630 7.21208E+15
67d17 1.58303E+17 1.3538 3.34292E+15
68d17 1.6061E+17 1.4222 3.56167E+15
69d17 1.62916E+17 2.7937 7.09412E+15
70d17 1.65221E+17 1.6000 4.11908E+15
71d17 1.67525E+17 1.3527 3.5297E+15
72d17 1.69828E+17 2.6667 7.05189E+15
73d17 1.72131E+17 1.3521 3.62291E+15
74d17 1.74433E+17 1.3714 3.72261E+15
75d17 1.76734E+17 2.6667 7.33159E+15
76d17 1.79035E+17 1.4118 3.93073E+15
77d17 1.81334E+17 1.7778 5.01184E+15
78d17 1.83634E+17 2.9091 8.30266E+15
79d17 1.85932E+17 1.3506 3.90188E+15
80d17 1.8823E+17 1.3333 3.89831E+15
81d17 1.90527E+17 2.6667 7.88946E+15
82d17 1.92823E+17 1.3675 4.09346E+15
83d17 1.95119E+17 1.3498 4.08734E+15
84d17 1.97415E+17 3.2000 9.8012E+15
85d17 1.99709E+17 1.4222 4.4055E+15
86d17 2.02003E+17 1.3659 4.27831E+15
87d17 2.04296E+17 2.7654 8.75822E+15
88d17 2.06589E+17 1.4815 4.74329E+15
89d17 2.08881E+17 1.3487 4.36478E+15
90d17 2.11173E+17 2.6667 8.72275E+15
91d17 2.13464E+17 1.7455 5.76988E+15
92d17 2.15754E+17 1.3968 4.66578E+15
93d17 2.18044E+17 2.7586 9.30998E+15
94d17 2.20333E+17 1.3630 4.64695E+15
95d17 2.22622E+17 1.4118 4.86213E+15
96d17 2.2491E+17 2.6667 9.27613E+15
97d17 2.27198E+17 1.3474 4.73341E+15
98d17 2.29485E+17 1.6000 5.67614E+15
99d17 2.31772E+17 2.9630 1.06136E+16
100d17 2.34058E+17 1.3333 4.82209E+15
101d17 2.36343E+17 1.3468 4.91721E+15
102d17 2.38628E+17 2.8444 1.04831E+16
103d17 2.40913E+17 1.3465 5.00899E+15
104d17 2.43197E+17 1.4545 5.46084E+15
105d17 2.4548E+17 3.2000 1.21239E+16
106d17 2.47763E+17 1.3595 5.19744E+15
107d17 2.50045E+17 1.3460 5.1923E+15
108d17 2.52327E+17 2.6667 1.03783E+16
109d17 2.54609E+17 1.3458 5.28385E+15
110d17 2.5689E+17 1.4815 5.86744E+15
111d17 2.59171E+17 2.7429 1.09573E+16
112d17 2.61451E+17 1.6000 6.44662E+15
113d17 2.6373E+17 1.3453 5.46671E+15
114d17 2.66009E+17 2.8235 1.157E+16
115d17 2.68288E+17 1.3968 5.77162E+15
116d17 2.70566E+17 1.3827 5.76067E+15
117d17 2.72844E+17 2.9091 1.22194E+16
118d17 2.75122E+17 1.3567 5.74526E+15
119d17 2.77399E+17 1.7067 7.28552E+15
120d17 2.79675E+17 2.6667 1.14748E+16
121d17 2.81951E+17 1.4815 6.42553E+15
122d17 2.84227E+17 1.3559 5.92732E+15
123d17 2.86502E+17 2.7350 1.20494E+16
124d17 2.88777E+17 1.3793 6.12371E+15
125d17 2.91051E+17 1.3333 5.9651E+15
126d17 2.93325E+17 3.2000 1.44254E+16
127d17 2.95599E+17 1.3440 6.10451E+15
128d17 2.97872E+17 1.3333 6.10151E+15
129d17 3.00144E+17 2.7317 1.25938E+16
130d17 3.02417E+17 1.4545 6.75532E+15
131d17 3.04689E+17 1.3437 6.28614E+15
132d17 3.0696E+17 2.9630 1.39626E+16
133d17 3.09231E+17 1.6941 8.04099E+15
134d17 3.11502E+17 1.3538 6.47198E+15
135d17 3.13773E+17 2.6667 1.28385E+16
136d17 3.16043E+17 1.4222 6.89557E+15
137d17 3.18312E+17 1.3432 6.55813E+15
138d17 3.20581E+17 2.7937 1.37347E+16
139d17 3.2285E+17 1.3431 6.64868E+15
140d17 3.25119E+17 1.6000 7.97492E+15
141d17 3.27387E+17 2.7259 1.36794E+16
142d17 3.29655E+17 1.3527 6.83389E+15
143d17 3.31922E+17 1.6162 8.21999E+15
144d17 3.34189E+17 2.6667 1.36534E+16
145d17 3.36456E+17 1.3827 7.12642E+15
146d17 3.38722E+17 1.3521 7.01451E+15
147d17 3.40988E+17 3.2000 1.67094E+16
148d17 3.43254E+17 1.3714 7.20763E+15
149d17 3.45519E+17 1.3424 7.10054E+15
150d17 3.47784E+17 2.6667 1.41954E+16
151d17 3.50049E+17 1.3423 7.19074E+15
152d17 3.52313E+17 1.4118 7.61073E+15
153d17 3.54577E+17 2.8444 1.54304E+16
154d17 3.5684E+17 1.7778 9.7041E+15
155d17 3.59104E+17 1.3793 7.57566E+15
156d17 3.61367E+17 2.9091 1.6076E+16
157d17 3.63629E+17 1.3419 7.46105E+15
158d17 3.65891E+17 1.3506 7.5551E+15
159d17 3.68153E+17 2.7190 1.53007E+16
160d17 3.70415E+17 1.3333 7.54825E+15
161d17 3.72676E+17 1.6762 9.54578E+15
162d17 3.74937E+17 2.6667 1.52764E+16
163d17 3.77198E+17 1.3416 7.73089E+15
164d17 3.79458E+17 1.3675 7.92627E+15
165d17 3.81718E+17 2.9630 1.72734E+16
166d17 3.83978E+17 1.3498 7.91449E+15
167d17 3.86238E+17 1.3414 7.91053E+15
168d17 3.88497E+17 3.2000 1.89787E+16
169d17 3.90755E+17 1.4545 8.67563E+15
170d17 3.93014E+17 1.4222 8.5307E+15
171d17 3.95272E+17 2.8235 1.7031E+16
172d17 3.9753E+17 1.3659 8.2845E+15
173d17 3.99788E+17 1.3411 8.17964E+15
174d17 4.02045E+17 2.7654 1.69595E+16
175d17 4.04302E+17 1.6000 9.86607E+15
176d17 4.06559E+17 1.4815 9.18503E+15
177d17 4.08815E+17 2.7135 1.69143E+16
178d17 4.11071E+17 1.3487 8.45215E+15
179d17 4.13327E+17 1.3409 8.44834E+15
180d17 4.15583E+17 2.6667 1.68913E+16
181d17 4.17838E+17 1.3408 8.53781E+15
182d17 4.20093E+17 1.7455 1.11732E+16
183d17 4.22348E+17 2.7119 1.74505E+16
184d17 4.24603E+17 1.3968 9.03524E+15
185d17 4.26857E+17 1.3714 8.91695E+15
186d17 4.29111E+17 2.7586 1.80289E+16
187d17 4.31364E+17 1.5802 1.03806E+16
188d17 4.33618E+17 1.3630 8.99892E+15
189d17 4.35871E+17 3.2000 2.12351E+16
190d17 4.38124E+17 1.4118 9.4157E+15
191d17 4.40376E+17 1.3404 8.98453E+15
192d17 4.42629E+17 2.6667 1.79637E+16
193d17 4.44881E+17 1.3403 9.07375E+15
194d17 4.47132E+17 1.3474 9.16658E+15
195d17 4.49384E+17 2.9091 1.98888E+16
196d17 4.51635E+17 1.6000 1.09923E+16
197d17 4.53886E+17 1.3402 9.25206E+15
198d17 4.56137E+17 2.9630 2.05543E+16
199d17 4.58387E+17 1.3401 9.34115E+15
200d17 4.60638E+17 1.3333 9.33852E+15
201d17 4.62888E+17 2.7077 1.90548E+16
202d17 4.65137E+17 1.3468 9.52281E+15
203d17 4.67387E+17 1.6593 1.17875E+16
204d17 4.69636E+17 2.8444 2.03021E+16
205d17 4.71885E+17 1.3675 9.80625E+15
206d17 4.74134E+17 1.3465 9.70069E+15
207d17 4.76382E+17 2.7937 2.02192E+16
208d17 4.78631E+17 1.4545 1.05758E+16
209d17 4.80879E+17 1.5686 1.14576E+16
210d17 4.83126E+17 3.2000 2.34802E+16
211d17 4.85374E+17 1.3397 9.87489E+15
212d17 4.87621E+17 1.3595 1.00659E+16
213d17 4.89868E+17 2.7053 2.01209E+16
214d17 4.92115E+17 1.3460 1.0056E+16
215d17 4.94362E+17 1.3659 1.02496E+16
216d17 4.96608E+17 2.6667 2.00998E+16
217d17 4.98854E+17 1.6552 1.25309E+16
218d17 5.011E+17 1.3458 1.02334E+16
219d17 5.03346E+17 2.7042 2.06529E+16
220d17 5.05591E+17 1.4815 1.13638E+16
221d17 5.07836E+17 1.5515 1.19526E+16
222d17 5.10081E+17 2.7429 2.12216E+16
223d17 5.12326E+17 1.3394 1.04073E+16
224d17 5.1457E+17 1.6000 1.24857E+16
225d17 5.16815E+17 2.6667 2.08981E+16
226d17 5.19059E+17 1.3453 1.05879E+16
227d17 5.21302E+17 1.3393 1.05845E+16
228d17 5.23546E+17 2.8235 2.24087E+16
229d17 5.25789E+17 1.3392 1.0673E+16
230d17 5.28033E+17 1.3968 1.11786E+16
231d17 5.30276E+17 3.5556 2.85726E+16
232d17 5.32518E+17 1.3827 1.11574E+16
233d17 5.34761E+17 1.3391 1.085E+16
234d17 5.37003E+17 2.9091 2.36671E+16
235d17 5.39245E+17 1.3630 1.11337E+16
236d17 5.41487E+17 1.3567 1.11277E+16
237d17 5.43729E+17 2.7013 2.22453E+16
238d17 5.4597E+17 1.7067 1.41111E+16
239d17 5.48211E+17 1.3390 1.11152E+16
240d17 5.50452E+17 2.6667 2.22253E+16
241d17 5.52693E+17 1.3389 1.12035E+16
242d17 5.54934E+17 1.4815 1.24455E+16
243d17 5.57174E+17 2.6667 2.24903E+16
244d17 5.59414E+17 1.3559 1.14806E+16
245d17 5.61654E+17 1.6000 1.36001E+16
246d17 5.63894E+17 2.7350 2.33386E+16
247d17 5.66134E+17 1.5401 1.3193E+16
248d17 5.68373E+17 1.3793 1.18612E+16
249d17 5.70612E+17 2.6996 2.3304E+16
250d17 5.72851E+17 1.3333 1.1554E+16
251d17 5.7509E+17 1.3387 1.16447E+16
252d17 5.77329E+17 3.2000 2.79413E+16
253d17 5.79567E+17 1.5520 1.36031E+16
254d17 5.81805E+17 1.3440 1.18242E+16
255d17 5.84043E+17 2.8444 2.51187E+16
256d17 5.86281E+17 1.3333 1.18185E+16
257d17 5.88518E+17 1.3386 1.1909E+16
258d17 5.90756E+17 2.7317 2.43939E+16
259d17 5.92993E+17 1.6457 1.47504E+16
260d17 5.9523E+17 1.4545 1.3085E+16
261d17 5.97467E+17 2.7654 2.4969E+16
262d17 5.99703E+17 1.3437 1.21763E+16
263d17 6.0194E+17 1.3384 1.21731E+16
264d17 6.04176E+17 2.9630 2.70458E+16
265d17 6.06412E+17 1.3595 1.24541E+16
266d17 6.08648E+17 1.6941 1.55756E+16
267d17 6.10884E+17 2.6973 2.48879E+16
268d17 6.13119E+17 1.3538 1.25365E+16
269d17 6.15354E+17 1.3383 1.24369E+16
270d17 6.1759E+17 2.6667 2.48688E+16
271d17 6.19825E+17 1.3383 1.25247E+16
272d17 6.22059E+17 1.4222 1.33571E+16
273d17 6.24294E+17 3.4909 3.29006E+16
274d17 6.26528E+17 1.3432 1.27035E+16
275d17 6.28762E+17 1.4815 1.40601E+16
276d17 6.30996E+17 2.7937 2.66052E+16
277d17 6.3323E+17 1.3382 1.27882E+16
278d17 6.35464E+17 1.3431 1.28791E+16
279d17 6.37697E+17 2.7586 2.65441E+16
280d17 6.39931E+17 1.6000 1.54482E+16
281d17 6.42164E+17 1.3381 1.29637E+16
282d17 6.44397E+17 2.7259 2.64985E+16
283d17 6.46629E+17 1.3381 1.30514E+16
284d17 6.48862E+17 1.3527 1.32381E+16
285d17 6.51094E+17 2.8235 2.77259E+16
286d17 6.53327E+17 1.6162 1.59232E+16
287d17 6.55559E+17 1.6410 1.62221E+16
288d17 6.57791E+17 2.6667 2.64486E+16
289d17 6.60022E+17 1.4222 1.41526E+16
290d17 6.62254E+17 1.3827 1.38049E+16
291d17 6.64485E+17 2.6947 2.69926E+16
292d17 6.66716E+17 1.3521 1.35882E+16
293d17 6.68947E+17 1.3379 1.34895E+16
294d17 6.71178E+17 3.2000 3.2369E+16
295d17 6.73409E+17 1.3567 1.37682E+16
296d17 6.7564E+17 1.3714 1.39625E+16
297d17 6.7787E+17 2.9630 3.02631E+16
298d17 6.801E+17 1.3424 1.37551E+16
299d17 6.8233E+17 1.5238 1.56639E+16
300d17 6.8456E+17 2.6667 2.74992E+16
301d17 6.8679E+17 1.6390 1.69557E+16
302d17 6.89019E+17 1.3423 1.393E+16
303d17 6.91248E+17 2.6936 2.8042E+16
304d17 6.93478E+17 1.4118 1.47436E+16
305d17 6.95707E+17 1.3559 1.4205E+16
306d17 6.97936E+17 2.8444 2.98921E+16
307d17 7.00164E+17 1.3377 1.41017E+16
308d17 7.02393E+17 1.7778 1.87991E+16
309d17 7.04621E+17 2.6931 2.85661E+16
310d17 7.06849E+17 1.3793 1.46759E+16
311d17 7.09077E+17 1.3376 1.42764E+16
312d17 7.11305E+17 2.9091 3.11433E+16
313d17 7.13533E+17 1.3376 1.43637E+16
314d17 7.15761E+17 1.3419 1.4454E+16
315d17 7.17988E+17 3.2000 3.4572E+16
316d17 7.20215E+17 1.3506 1.46363E+16
317d17 7.22442E+17 1.3376 1.45383E+16
318d17 7.24669E+17 2.7190 2.96418E+16
319d17 7.26896E+17 1.5364 1.67994E+16
320d17 7.29123E+17 1.3333 1.46231E+16
321d17 7.31349E+17 2.6921 2.96129E+16
322d17 7.33576E+17 1.6762 1.8493E+16
323d17 7.35802E+17 1.5059 1.66633E+16
324d17 7.38028E+17 2.6667 2.95951E+16
325d17 7.40254E+17 1.4545 1.61903E+16
326d17 7.42479E+17 1.3416 1.49772E+16
327d17 7.44705E+17 2.6916 3.01356E+16
328d17 7.4693E+17 1.3675 1.53557E+16
329d17 7.49156E+17 1.6356 1.84189E+16
330d17 7.51381E+17 2.9630 3.34644E+16
331d17 7.53606E+17 1.3374 1.51484E+16
332d17 7.55831E+17 1.3498 1.53331E+16
333d17 7.58055E+17 2.7429 3.12472E+16
334d17 7.6028E+17 1.3414 1.53255E+16
335d17 7.62504E+17 1.3538 1.55117E+16
336d17 7.64728E+17 3.2000 3.67685E+16
337d17 7.66952E+17 1.3373 1.54096E+16
338d17 7.69176E+17 1.4545 1.68079E+16
339d17 7.714E+17 2.6907 3.11798E+16
340d17 7.73624E+17 1.4222 1.65272E+16
341d17 7.75847E+17 1.5326 1.78594E+16
342d17 7.78071E+17 2.8235 3.29955E+16
343d17 7.80294E+17 1.6000 1.87496E+16
344d17 7.82517E+17 1.3659 1.60503E+16
345d17 7.8474E+17 2.7937 3.29196E+16
346d17 7.86963E+17 1.3411 1.58472E+16
347d17 7.89185E+17 1.3372 1.58444E+16
348d17 7.91408E+17 2.7654 3.28575E+16
349d17 7.9363E+17 1.3372 1.59312E+16
350d17 7.95852E+17 1.6000 1.91147E+16
351d17 7.98074E+17 2.9091 3.48487E+16
352d17 8.00296E+17 1.4815 1.77953E+16
353d17 8.02518E+17 1.3371 1.6105E+16
354d17 8.0474E+17 2.7135 3.27703E+16
355d17 8.06961E+17 1.3527 1.638E+16
356d17 8.09182E+17 1.3487 1.63755E+16
357d17 8.11404E+17 3.4133 4.15561E+16
358d17 8.13625E+17 1.3409 1.63682E+16
359d17 8.15846E+17 1.3371 1.63654E+16
360d17 8.18067E+17 2.6667 3.27261E+16
361d17 8.20287E+17 1.4118 1.73715E+16
362d17 8.22508E+17 1.3408 1.65417E+16
363d17 8.24728E+17 2.9630 3.66515E+16
364d17 8.26948E+17 1.7455 2.16478E+16
365d17 8.29169E+17 1.3521 1.68134E+16
366d17 8.31389E+17 2.7119 3.381E+16
367d17 8.33608E+17 1.3370 1.67123E+16
368d17 8.35828E+17 1.3968 1.75057E+16
369d17 8.38048E+17 2.7350 3.43657E+16
370d17 8.40267E+17 1.3714 1.72765E+16
371d17 8.42486E+17 1.6314 2.06042E+16
372d17 8.44706E+17 2.7586 3.49309E+16
373d17 8.46925E+17 1.3369 1.69722E+16
374d17 8.49144E+17 1.5802 2.01125E+16
375d17 8.51362E+17 2.6667 3.40265E+16
376d17 8.53581E+17 1.3630 1.74356E+16
377d17 8.558E+17 1.5084 1.93453E+16
378d17 8.58018E+17 3.2000 4.11435E+16
379d17 8.60236E+17 1.3369 1.7232E+16
380d17 8.62454E+17 1.4118 1.82432E+16
381d17 8.64672E+17 2.6880 3.48223E+16
382d17 8.6689E+17 1.3404 1.74079E+16
383d17 8.69108E+17 1.3368 1.74051E+16
384d17 8.71326E+17 2.6667 3.48056E+16
385d17 8.73543E+17 1.7778 2.32614E+16
386d17 8.75761E+17 1.3403 1.75809E+16
387d17 8.77978E+17 2.7317 3.59204E+16
388d17 8.80195E+17 1.3474 1.77608E+16
389d17 8.82412E+17 1.3368 1.76646E+16
390d17 8.84629E+17 2.9091 3.85359E+16
391d17 8.86846E+17 1.4899 1.97852E+16
392d17 8.89062E+17 1.6000 2.12985E+16
393d17 8.91279E+17 2.6873 3.58597E+16
394d17 8.93495E+17 1.3402 1.79266E+16
395d17 8.95711E+17 1.3506 1.81106E+16
396d17 8.97927E+17 2.9630 3.98257E+16
397d17 9.00143E+17 1.3367 1.80103E+16
398d17 9.02359E+17 1.3401 1.80994E+16
399d17 9.04575E+17 3.3882 4.58712E+16
400d17 9.06791E+17 1.3333 1.80944E+16

yangchuanju · 发表于 2023-3-23 17:57

（接上楼）
偶数素数个数波动因子单计素数对
401d17 9.09006E+17 1.3367 1.8183E+16
402d17 9.11221E+17 2.7077 3.69208E+16
403d17 9.13437E+17 1.5047 2.05661E+16
404d17 9.15652E+17 1.3468 1.84516E+16
405d17 9.17867E+17 2.6667 3.66204E+16
406d17 9.20082E+17 1.6593 2.28398E+16
407d17 9.22296E+17 1.5238 2.10246E+16
408d17 9.24511E+17 2.8444 3.9338E+16
409d17 9.26726E+17 1.3366 1.85282E+16
410d17 9.2894E+17 1.3675 1.9001E+16
411d17 9.31154E+17 2.6864 3.74133E+16
412d17 9.33368E+17 1.3465 1.87965E+16
413d17 9.35582E+17 1.6281 2.27792E+16
414d17 9.37796E+17 2.7937 3.91777E+16
415d17 9.4001E+17 1.3498 1.8973E+16
416d17 9.42224E+17 1.4545 2.04924E+16
417d17 9.44437E+17 2.6861 3.79305E+16
418d17 9.46651E+17 1.5686 2.22011E+16
419d17 9.48864E+17 1.3365 1.89594E+16
420d17 9.51077E+17 3.2000 4.5497E+16
421d17 9.53291E+17 1.3365 1.90455E+16
422d17 9.55504E+17 1.3397 1.91344E+16
423d17 9.57716E+17 2.7259 3.9021E+16
424d17 9.59929E+17 1.3595 1.95045E+16
425d17 9.62142E+17 1.4222 2.04507E+16
426d17 9.64354E+17 2.7053 3.89881E+16
427d17 9.66567E+17 1.6271 2.3502E+16
428d17 9.68779E+17 1.3460 1.94855E+16
429d17 9.70991E+17 3.2323 4.68963E+16
430d17 9.73203E+17 1.3659 1.98606E+16
431d17 9.75415E+17 1.3364 1.94761E+16
432d17 9.77627E+17 2.6667 3.89477E+16
433d17 9.79839E+17 1.3364 1.95622E+16
434d17 9.8205E+17 1.6552 2.42813E+16
435d17 9.84262E+17 2.7654 4.0658E+16
436d17 9.86473E+17 1.3458 1.98296E+16
437d17 9.88685E+17 1.4790 2.18399E+16
438d17 9.90896E+17 2.7042 4.00198E+16
439d17 9.93107E+17 1.3364 1.98203E+16
440d17 9.95318E+17 1.4815 2.202E+16
441d17 9.97529E+17 3.2000 4.76664E+16
442d17 9.99739E+17 1.5515 2.3161E+16
443d17 1.00195E+18 1.3364 1.99922E+16
444d17 1.00416E+18 2.7429 4.11222E+16
445d17 1.00637E+18 1.3487 2.02632E+16
446d17 1.00858E+18 1.3394 2.01668E+16
447d17 1.01079E+18 2.6848 4.05116E+16
448d17 1.013E+18 1.6000 2.41943E+16
449d17 1.01521E+18 1.3363 2.02501E+16
450d17 1.01742E+18 2.6667 4.04956E+16
451d17 1.01963E+18 1.5195 2.31234E+16
452d17 1.02184E+18 1.3453 2.05169E+16
453d17 1.02405E+18 2.6846 4.10269E+16
454d17 1.02626E+18 1.3393 2.05104E+16
455d17 1.02847E+18 1.7455 2.67874E+16
456d17 1.03068E+18 2.8235 4.34234E+16
457d17 1.03289E+18 1.3363 2.05936E+16
458d17 1.0351E+18 1.3392 2.06821E+16
459d17 1.0373E+18 2.8444 4.40198E+16
460d17 1.03951E+18 1.3968 2.16618E+16
461d17 1.04172E+18 1.3362 2.07653E+16
462d17 1.04393E+18 3.5556 5.53681E+16
463d17 1.04614E+18 1.3362 2.08511E+16
464d17 1.04835E+18 1.3827 2.1621E+16
465d17 1.05056E+18 2.7586 4.32243E+16
466d17 1.05276E+18 1.3391 2.10253E+16
467d17 1.05497E+18 1.3362 2.10226E+16
468d17 1.05718E+18 2.9091 4.58627E+16
469d17 1.05939E+18 1.6246 2.56648E+16
470d17 1.0616E+18 1.3630 2.15752E+16
471d17 1.0638E+18 2.6839 4.2571E+16
472d17 1.06601E+18 1.3567 2.15637E+16
473d17 1.06822E+18 1.5176 2.41697E+16
474d17 1.07043E+18 2.7013 4.3108E+16
475d17 1.07263E+18 1.4118 2.25747E+16
476d17 1.07484E+18 1.7067 2.73451E+16
477d17 1.07705E+18 2.7190 4.36519E+16
478d17 1.07925E+18 1.3390 2.15396E+16
479d17 1.08146E+18 1.3361 2.1537E+16
480d17 1.08367E+18 2.6667 4.30695E+16
481d17 1.08587E+18 1.4961 2.42117E+16
482d17 1.08808E+18 1.3389 2.17109E+16
483d17 1.09029E+18 3.3524 5.44676E+16
484d17 1.09249E+18 1.4815 2.41178E+16
485d17 1.0947E+18 1.3474 2.19778E+16
486d17 1.09691E+18 2.6667 4.35834E+16
487d17 1.09911E+18 1.3361 2.18795E+16
488d17 1.10132E+18 1.3559 2.22481E+16
489d17 1.10352E+18 2.6832 4.41125E+16
490d17 1.10573E+18 1.6000 2.63555E+16
491d17 1.10793E+18 1.3361 2.20507E+16
492d17 1.11014E+18 2.7350 4.52277E+16
493d17 1.11234E+18 1.4749 2.44368E+16
494d17 1.11455E+18 1.5401 2.55666E+16
495d17 1.11676E+18 2.9630 4.92819E+16
496d17 1.11896E+18 1.3793 2.29858E+16
497d17 1.12117E+18 1.6232 2.71021E+16
498d17 1.12337E+18 2.6996 4.51611E+16
499d17 1.12558E+18 1.3360 2.23929E+16
500d17 1.12778E+18 1.3333 2.23907E+16
501d17 1.12998E+18 2.6828 4.51389E+16
502d17 1.13219E+18 1.3387 2.25665E+16
503d17 1.13439E+18 1.3360 2.25639E+16
504d17 1.1366E+18 3.2000 5.41481E+16
505d17 1.1388E+18 1.3468 2.28328E+16
506d17 1.14101E+18 1.5520 2.63618E+16
507d17 1.14321E+18 2.9091 4.95053E+16
508d17 1.14541E+18 1.3440 2.29145E+16
509d17 1.14762E+18 1.3360 2.28203E+16
510d17 1.14982E+18 2.8444 4.86787E+16
511d17 1.15203E+18 1.6225 2.78194E+16
512d17 1.15423E+18 1.3333 2.29036E+16
513d17 1.15643E+18 2.8235 4.85921E+16
514d17 1.15864E+18 1.3386 2.30791E+16
515d17 1.16084E+18 1.3465 2.32597E+16
516d17 1.16304E+18 2.7317 4.72744E+16
517d17 1.16525E+18 1.5144 2.62565E+16
518d17 1.16745E+18 1.6457 2.85858E+16
519d17 1.16965E+18 2.6823 4.66763E+16
520d17 1.17185E+18 1.4545 2.53584E+16
521d17 1.17406E+18 1.3359 2.33327E+16
522d17 1.17626E+18 2.7654 4.83893E+16
523d17 1.17846E+18 1.3359 2.34181E+16
524d17 1.18066E+18 1.3437 2.35974E+16
525d17 1.18287E+18 3.2000 5.63005E+16
526d17 1.18507E+18 1.3384 2.35913E+16
527d17 1.18727E+18 1.4713 2.59795E+16
528d17 1.18947E+18 2.9630 5.24145E+16
529d17 1.19167E+18 1.3968 2.47544E+16
530d17 1.19388E+18 1.3595 2.4136E+16
531d17 1.19608E+18 2.7135 4.82611E+16
532d17 1.19828E+18 1.6941 3.01856E+16
533d17 1.20048E+18 1.4918 2.66291E+16
534d17 1.20268E+18 2.6973 4.8233E+16
535d17 1.20488E+18 1.3460 2.41125E+16
536d17 1.20709E+18 1.3538 2.42958E+16
537d17 1.20929E+18 2.6817 4.82115E+16
538d17 1.21149E+18 1.3383 2.41029E+16
539d17 1.21369E+18 1.7778 3.20741E+16
540d17 1.21589E+18 2.6667 4.81964E+16
541d17 1.21809E+18 1.3358 2.41856E+16
542d17 1.22029E+18 1.3383 2.42733E+16
543d17 1.22249E+18 2.6816 4.87227E+16
544d17 1.22469E+18 1.4222 2.58865E+16
545d17 1.22689E+18 1.3458 2.45384E+16
546d17 1.22909E+18 3.4909 6.37627E+16
547d17 1.23129E+18 1.3358 2.44412E+16
548d17 1.23349E+18 1.3432 2.462E+16
549d17 1.2357E+18 2.7119 4.9793E+16
550d17 1.2379E+18 1.4815 2.72491E+16
551d17 1.2401E+18 1.4641 2.69752E+16
552d17 1.2423E+18 2.7937 5.15624E+16
553d17 1.24449E+18 1.6208 2.99665E+16
554d17 1.24669E+18 1.3382 2.47843E+16
555d17 1.24889E+18 2.7429 5.08876E+16
556d17 1.25109E+18 1.3431 2.49605E+16
557d17 1.25329E+18 1.3357 2.48669E+16
558d17 1.25549E+18 2.7586 5.14442E+16
559d17 1.25769E+18 1.4900 2.78343E+16
560d17 1.25989E+18 1.6000 2.99398E+16
561d17 1.26209E+18 3.1605 5.92411E+16
562d17 1.26429E+18 1.3381 2.51246E+16
563d17 1.26649E+18 1.3357 2.51221E+16
564d17 1.26869E+18 2.7259 5.13564E+16
565d17 1.27089E+18 1.3453 2.53892E+16
566d17 1.27308E+18 1.3381 2.52947E+16
567d17 1.27528E+18 3.2000 6.05941E+16
568d17 1.27748E+18 1.3527 2.56566E+16
569d17 1.27968E+18 1.3357 2.53773E+16
570d17 1.28188E+18 2.8235 5.37355E+16
571d17 1.28408E+18 1.3357 2.54623E+16
572d17 1.28627E+18 1.6162 3.08608E+16
573d17 1.28847E+18 2.6808 5.12752E+16
574d17 1.29067E+18 1.6410 3.14402E+16
575d17 1.29287E+18 1.3968 2.68061E+16
576d17 1.29507E+18 2.6667 5.12603E+16
577d17 1.29726E+18 1.3357 2.57173E+16
578d17 1.29946E+18 1.4222 2.74295E+16
579d17 1.30166E+18 2.6806 5.17849E+16
580d17 1.30386E+18 1.3827 2.67557E+16
581d17 1.30605E+18 1.6198 3.13939E+16
582d17 1.30825E+18 2.6947 5.23151E+16
583d17 1.31045E+18 1.5105 2.93732E+16
584d17 1.31265E+18 1.3521 2.63358E+16
585d17 1.31484E+18 2.9091 5.67545E+16
586d17 1.31704E+18 1.3379 2.61445E+16
587d17 1.31924E+18 1.3356 2.6142E+16
588d17 1.32143E+18 2.4000 4.70517E+16
589d17 1.32363E+18 1.4604 2.86784E+16
590d17 1.32583E+18 1.3567 2.66848E+16
591d17 1.32802E+18 2.6803 5.28038E+16
592d17 1.33022E+18 1.3714 2.70614E+16
593d17 1.33242E+18 1.3356 2.63967E+16
594d17 1.33461E+18 2.9630 5.86545E+16
595d17 1.33681E+18 1.7067 3.38393E+16
596d17 1.33901E+18 1.3424 2.66595E+16
597d17 1.3412E+18 2.6802 5.33129E+16
598d17 1.3434E+18 1.5238 3.03591E+16
599d17 1.34559E+18 1.3356 2.66512E+16
600d17 1.34779E+18 2.6667 5.32982E+16
601d17 1.34999E+18 1.3356 2.67361E+16
602d17 1.35218E+18 1.6390 3.28632E+16
603d17 1.35438E+18 2.7077 5.43766E+16
604d17 1.35657E+18 1.3423 2.69987E+16
605d17 1.35877E+18 1.4815 2.98457E+16
606d17 1.36096E+18 2.6936 5.43506E+16
607d17 1.36316E+18 1.3355 2.69905E+16
608d17 1.36535E+18 1.4118 2.85759E+16
609d17 1.36755E+18 3.3185 6.72765E+16
610d17 1.36974E+18 1.3559 2.7532E+16
611d17 1.37194E+18 1.4869 3.02379E+16
612d17 1.37413E+18 2.8444 5.79368E+16
613d17 1.37633E+18 1.3355 2.72448E+16
614d17 1.37852E+18 1.3377 2.7332E+16
615d17 1.38072E+18 2.7350 5.59693E+16
616d17 1.38291E+18 1.7778 3.64365E+16
617d17 1.38511E+18 1.3355 2.74143E+16
618d17 1.3873E+18 2.6931 5.53671E+16
619d17 1.3895E+18 1.3355 2.7499E+16
620d17 1.39169E+18 1.3793 2.8445E+16
621d17 1.39389E+18 2.7937 5.77012E+16
622d17 1.39608E+18 1.3376 2.76708E+16
623d17 1.39827E+18 1.6184 3.35297E+16
624d17 1.40047E+18 2.9091 6.03628E+16
625d17 1.40266E+18 1.3333 2.77086E+16
626d17 1.40486E+18 1.3376 2.78402E+16
627d17 1.40705E+18 3.1373 6.5396E+16
628d17 1.40924E+18 1.3419 2.80152E+16
629d17 1.41144E+18 1.4629 3.05861E+16
630d17 1.41363E+18 3.2000 6.70087E+16
631d17 1.41582E+18 1.3355 2.80071E+16
632d17 1.41802E+18 1.3506 2.83686E+16
633d17 1.42021E+18 2.6794 5.63629E+16
634d17 1.4224E+18 1.3376 2.81787E+16
635d17 1.4246E+18 1.3440 2.83569E+16
636d17 1.42679E+18 2.7190 5.74533E+16
637d17 1.42898E+18 1.7455 3.6938E+16
638d17 1.43117E+18 1.5364 3.25616E+16
639d17 1.43337E+18 2.7053 5.74226E+16
640d17 1.43556E+18 1.3333 2.83434E+16
641d17 1.43775E+18 1.3354 2.84301E+16
642d17 1.43995E+18 2.6921 5.73975E+16
643d17 1.44214E+18 1.3354 2.85147E+16
644d17 1.44433E+18 1.6762 3.58444E+16
645d17 1.44652E+18 2.7317 5.85027E+16
646d17 1.44872E+18 1.5059 3.2298E+16
647d17 1.45091E+18 1.3354 2.86838E+16
648d17 1.4531E+18 2.6667 5.73634E+16
649d17 1.45529E+18 1.5075 3.24755E+16
650d17 1.45748E+18 1.4545 3.13814E+16
651d17 1.45968E+18 3.3103 7.15246E+16
652d17 1.46187E+18 1.3416 2.903E+16
653d17 1.46406E+18 1.3354 2.89374E+16
654d17 1.46625E+18 2.6916 5.84115E+16
655d17 1.46844E+18 1.3437 2.92022E+16
656d17 1.47063E+18 1.3675 2.97639E+16
657d17 1.47283E+18 2.7042 5.89428E+16
658d17 1.47502E+18 1.6356 3.57013E+16
659d17 1.47721E+18 1.3354 2.91909E+16
660d17 1.4794E+18 2.9630 6.4864E+16
661d17 1.48159E+18 1.3354 2.92754E+16
662d17 1.48378E+18 1.3374 2.93623E+16
663d17 1.48597E+18 3.1030 6.82252E+16
664d17 1.48816E+18 1.3498 2.97202E+16
665d17 1.49036E+18 1.6941 3.73553E+16
666d17 1.49255E+18 2.7429 6.05668E+16
667d17 1.49474E+18 1.4486 3.20325E+16
668d17 1.49693E+18 1.3414 2.97056E+16
669d17 1.49912E+18 2.6787 5.94054E+16
670d17 1.50131E+18 1.3538 3.00667E+16
671d17 1.5035E+18 1.5066 3.35066E+16
672d17 1.50569E+18 3.2000 7.12692E+16
673d17 1.50788E+18 1.3353 2.9782E+16
674d17 1.51007E+18 1.3373 2.98688E+16
675d17 1.51226E+18 2.6667 5.96443E+16
676d17 1.51445E+18 1.4545 3.25793E+16
677d17 1.51664E+18 1.3353 2.99508E+16
678d17 1.51883E+18 2.6907 6.04371E+16
679d17 1.52102E+18 1.6168 3.63679E+16
680d17 1.52321E+18 1.4222 3.20353E+16
681d17 1.5254E+18 2.6785 6.04179E+16
682d17 1.52759E+18 1.5326 3.46178E+16
683d17 1.52978E+18 1.3353 3.02039E+16
684d17 1.53197E+18 2.8235 6.39568E+16
685d17 1.53416E+18 1.3432 3.0468E+16
686d17 1.53635E+18 1.6000 3.63434E+16
687d17 1.53854E+18 2.6784 6.09239E+16
688d17 1.54073E+18 1.3659 3.11112E+16
689d17 1.54292E+18 1.4831 3.3828E+16
690d17 1.54511E+18 2.7937 6.38101E+16
691d17 1.54729E+18 1.3353 3.05412E+16
692d17 1.54948E+18 1.3411 3.07177E+16
693d17 1.55167E+18 3.5556 8.15501E+16
694d17 1.55386E+18 1.3372 3.07122E+16
695d17 1.55605E+18 1.3431 3.08894E+16
696d17 1.55824E+18 2.7654 6.36901E+16
697d17 1.56043E+18 1.4587 3.36409E+16
698d17 1.56262E+18 1.3372 3.08808E+16
699d17 1.5648E+18 2.6782 6.19353E+16
700d17 1.56699E+18 1.6000 3.70515E+16

yangchuanju · 发表于 2023-3-23 17:58

（接上楼）
偶数素数个数波动因子单计素数对
701d17 1.56918E+18 1.3352 3.09627E+16
702d17 1.57137E+18 2.9091 6.75503E+16
703d17 1.57356E+18 1.4521 3.37643E+16
704d17 1.57575E+18 1.4815 3.44942E+16
705d17 1.57793E+18 2.7259 6.35555E+16
706d17 1.58012E+18 1.3371 3.12177E+16
707d17 1.58231E+18 1.6162 3.77832E+16
708d17 1.5845E+18 2.7135 6.35217E+16
709d17 1.58669E+18 1.3352 3.12996E+16
710d17 1.58887E+18 1.3527 3.17511E+16
711d17 1.59106E+18 2.7013 6.34932E+16
712d17 1.59325E+18 1.3487 3.17424E+16
713d17 1.59544E+18 1.4450 3.40553E+16
714d17 1.59762E+18 3.4133 8.05527E+16
715d17 1.59981E+18 1.6162 3.81915E+16
716d17 1.602E+18 1.3409 3.17283E+16
717d17 1.60419E+18 2.6779 6.3451E+16
718d17 1.60637E+18 1.3371 3.17229E+16
719d17 1.60856E+18 1.3352 3.17205E+16
720d17 1.61075E+18 2.6667 6.34369E+16
721d17 1.61293E+18 1.6158 3.849E+16
722d17 1.61512E+18 1.4118 3.36733E+16
723d17 1.61731E+18 2.6778 6.39558E+16
724d17 1.6195E+18 1.3408 3.20649E+16
725d17 1.62168E+18 1.3827 3.31114E+16
726d17 1.62387E+18 2.9630 7.10464E+16
727d17 1.62606E+18 1.3352 3.20571E+16
728d17 1.62824E+18 1.7455 4.19629E+16
729d17 1.63043E+18 2.6667 6.41941E+16
730d17 1.63262E+18 1.3521 3.25918E+16
731d17 1.6348E+18 1.4569 3.51638E+16
732d17 1.63699E+18 2.7119 6.55388E+16
733d17 1.63917E+18 1.3352 3.23094E+16
734d17 1.64136E+18 1.3370 3.23958E+16
735d17 1.64355E+18 3.2000 7.76385E+16
736d17 1.64573E+18 1.3968 3.39339E+16
737d17 1.64792E+18 1.5043 3.65916E+16
738d17 1.6501E+18 2.7350 6.66164E+16
739d17 1.65229E+18 1.3351 3.25616E+16
740d17 1.65448E+18 1.3714 3.34898E+16
741d17 1.65666E+18 3.0802 7.53149E+16
742d17 1.65885E+18 1.6314 3.99404E+16
743d17 1.66103E+18 1.3351 3.27297E+16
744d17 1.66322E+18 2.7586 6.77124E+16
745d17 1.6654E+18 1.3424 3.29926E+16
746d17 1.66759E+18 1.3369 3.29001E+16
747d17 1.66977E+18 2.6996 6.65186E+16
748d17 1.67196E+18 1.5802 3.89875E+16
749d17 1.67415E+18 1.6152 3.99017E+16
750d17 1.67633E+18 2.6667 6.59595E+16
751d17 1.67852E+18 1.3351 3.30658E+16
752d17 1.6807E+18 1.3630 3.37985E+16
753d17 1.68289E+18 2.6774 6.64774E+16
754d17 1.68507E+18 1.5084 3.75005E+16
755d17 1.68726E+18 1.3423 3.34125E+16
756d17 1.68944E+18 3.2000 7.97561E+16
757d17 1.69162E+18 1.3351 3.33178E+16
758d17 1.69381E+18 1.3369 3.34041E+16
759d17 1.69599E+18 3.1041 7.76581E+16
760d17 1.69818E+18 1.4118 3.53644E+16
761d17 1.70036E+18 1.3351 3.34857E+16
762d17 1.70255E+18 2.6880 6.7503E+16
763d17 1.70473E+18 1.6150 4.06067E+16
764d17 1.70692E+18 1.3404 3.37452E+16
765d17 1.7091E+18 2.8444 7.17004E+16
766d17 1.71128E+18 1.3368 3.37398E+16
767d17 1.71347E+18 1.4801 3.74014E+16
768d17 1.71565E+18 2.6667 6.74709E+16
769d17 1.71784E+18 1.3351 3.38215E+16
770d17 1.72002E+18 1.7778 4.50925E+16
771d17 1.7222E+18 2.6771 6.79882E+16
772d17 1.72439E+18 1.3403 3.40808E+16
773d17 1.72657E+18 1.3351 3.39893E+16
774d17 1.72876E+18 2.7317 6.96323E+16
775d17 1.73094E+18 1.3793 3.52026E+16
776d17 1.73312E+18 1.3474 3.44297E+16
777d17 1.73531E+18 3.2914 8.42104E+16
778d17 1.73749E+18 1.3368 3.42432E+16
779d17 1.73967E+18 1.4480 3.71369E+16
780d17 1.74186E+18 2.9091 7.47029E+16
781d17 1.74404E+18 1.5030 3.86418E+16
782d17 1.74622E+18 1.4899 3.83543E+16
783d17 1.74841E+18 2.7654 7.12748E+16
784d17 1.75059E+18 1.6000 4.12879E+16
785d17 1.75277E+18 1.3419 3.46707E+16
786d17 1.75495E+18 2.6873 6.95155E+16
787d17 1.75714E+18 1.3350 3.45763E+16
788d17 1.75932E+18 1.3402 3.47515E+16
789d17 1.7615E+18 2.6769 6.94976E+16
790d17 1.76369E+18 1.3506 3.51082E+16
791d17 1.76587E+18 1.6144 4.20151E+16
792d17 1.76805E+18 2.9630 7.72042E+16
793d17 1.77023E+18 1.4792 3.85891E+16
794d17 1.77242E+18 1.3367 3.49139E+16
795d17 1.7746E+18 2.7190 7.11025E+16
796d17 1.77678E+18 1.3401 3.50867E+16
797d17 1.77896E+18 1.3350 3.49953E+16
798d17 1.78114E+18 3.3882 8.89241E+16
799d17 1.78333E+18 1.4538 3.82013E+16
800d17 1.78551E+18 1.3333 3.50771E+16
801d17 1.78769E+18 2.6973 7.10452E+16
802d17 1.78987E+18 1.3367 3.5249E+16
803d17 1.79205E+18 1.5023 3.9665E+16
804d17 1.79424E+18 2.7077 7.15736E+16
805d17 1.79642E+18 1.6762 4.43601E+16
806d17 1.7986E+18 1.5047 3.9869E+16
807d17 1.80078E+18 2.6767 7.10054E+16
808d17 1.80296E+18 1.3468 3.57698E+16
809d17 1.80514E+18 1.3350 3.54979E+16
810d17 1.80733E+18 2.6667 7.09916E+16
811d17 1.80951E+18 1.3350 3.55816E+16
812d17 1.81169E+18 1.6593 4.42768E+16
813d17 1.81387E+18 2.6766 7.15077E+16
814d17 1.81605E+18 1.5238 4.0758E+16
815d17 1.81823E+18 1.3416 3.59269E+16
816d17 1.82041E+18 2.8444 7.62602E+16
817d17 1.8226E+18 1.4462 3.88183E+16
818d17 1.82478E+18 1.3366 3.59187E+16
819d17 1.82696E+18 3.4909 9.39208E+16
820d17 1.82914E+18 1.3675 3.68352E+16
821d17 1.83132E+18 1.3350 3.60001E+16
822d17 1.8335E+18 2.6864 7.25294E+16
823d17 1.83568E+18 1.3350 3.60838E+16
824d17 1.83786E+18 1.3465 3.6439E+16
825d17 1.84004E+18 2.9630 8.02746E+16
826d17 1.84222E+18 1.6281 4.41598E+16
827d17 1.8444E+18 1.3349 3.62511E+16
828d17 1.84658E+18 2.7937 7.59504E+16
829d17 1.84876E+18 1.3349 3.63347E+16
830d17 1.85094E+18 1.3498 3.67812E+16
831d17 1.85312E+18 2.6764 7.30135E+16
832d17 1.8553E+18 1.4545 3.97269E+16
833d17 1.85748E+18 1.7067 4.66664E+16
834d17 1.85966E+18 2.6861 7.35327E+16
835d17 1.86184E+18 1.3414 3.67632E+16
836d17 1.86402E+18 1.5686 4.30395E+16
837d17 1.8662E+18 2.7586 7.57766E+16
838d17 1.86838E+18 1.3365 3.67551E+16
839d17 1.87056E+18 1.3349 3.67528E+16
840d17 1.87274E+18 3.2000 8.82019E+16
841d17 1.87492E+18 1.3827 3.81553E+16
842d17 1.8771E+18 1.3365 3.69223E+16
843d17 1.87928E+18 2.6762 7.40167E+16
844d17 1.88146E+18 1.3397 3.70946E+16
845d17 1.88364E+18 1.4545 4.03197E+16
846d17 1.88582E+18 2.7259 7.56476E+16
847d17 1.888E+18 1.7778 4.93911E+16
848d17 1.89018E+18 1.3595 3.78123E+16
849d17 1.89236E+18 2.6762 7.4518E+16
850d17 1.89454E+18 1.4222 3.96466E+16
851d17 1.89672E+18 1.4367 4.00961E+16
852d17 1.8989E+18 2.7053 7.55842E+16
853d17 1.90108E+18 1.3349 3.73378E+16
854d17 1.90325E+18 1.6271 4.55623E+16
855d17 1.90543E+18 2.8235 7.91524E+16
856d17 1.90761E+18 1.3460 3.77757E+16
857d17 1.90979E+18 1.3349 3.75049E+16
858d17 1.91197E+18 3.2323 9.09159E+16
859d17 1.91415E+18 1.3349 3.75884E+16
860d17 1.91633E+18 1.3659 3.85031E+16
861d17 1.91851E+18 3.2821 9.2623E+16
862d17 1.92068E+18 1.3364 3.77577E+16
863d17 1.92286E+18 1.3349 3.77554E+16
864d17 1.92504E+18 2.6667 7.55067E+16
865d17 1.92722E+18 1.3411 3.80161E+16
866d17 1.9294E+18 1.3364 3.79246E+16
867d17 1.93158E+18 2.8444 8.08076E+16
868d17 1.93375E+18 1.6552 4.70735E+16
869d17 1.93593E+18 1.5007 4.27279E+16
870d17 1.93811E+18 2.7654 7.88227E+16
871d17 1.94029E+18 1.4769 4.21427E+16
872d17 1.94247E+18 1.3458 3.84432E+16
873d17 1.94464E+18 2.6947 7.70607E+16
874d17 1.94682E+18 1.4790 4.23406E+16
875d17 1.949E+18 1.6000 4.58549E+16
876d17 1.95118E+18 2.7042 7.75859E+16
877d17 1.95336E+18 1.3349 3.83397E+16
878d17 1.95553E+18 1.3364 3.84253E+16
879d17 1.95771E+18 2.6758 7.70224E+16
880d17 1.95989E+18 1.4815 4.269E+16
881d17 1.96207E+18 1.3349 3.85065E+16
882d17 1.96424E+18 2.4000 6.9308E+16
883d17 1.96642E+18 1.3348 3.85899E+16
884d17 1.9686E+18 1.5515 4.49023E+16
885d17 1.97078E+18 2.7135 7.86146E+16
886d17 1.97295E+18 1.3364 3.8759E+16
887d17 1.97513E+18 1.3348 3.87567E+16
888d17 1.97731E+18 2.7429 7.97239E+16
889d17 1.97948E+18 1.6128 4.69281E+16
890d17 1.98166E+18 1.3487 3.92845E+16
891d17 1.98384E+18 2.9630 8.63995E+16
892d17 1.98601E+18 1.3394 3.90976E+16
893d17 1.98819E+18 1.4431 4.21719E+16
894d17 1.99037E+18 2.6848 7.85404E+16
895d17 1.99255E+18 1.3409 3.92671E+16
896d17 1.99472E+18 1.6000 4.69058E+16
897d17 1.9969E+18 3.0476 8.94397E+16
898d17 1.99907E+18 1.3363 3.92592E+16
899d17 2.00125E+18 1.4304 4.20678E+16
900d17 2.00343E+18 2.6667 7.85098E+16
901d17 2.0056E+18 1.4501 4.27383E+16
902d17 2.00778E+18 1.5195 4.48299E+16
903d17 2.00996E+18 3.2780 9.6817E+16
904d17 2.01213E+18 1.3453 3.97767E+16
905d17 2.01431E+18 1.3408 3.96837E+16
906d17 2.01649E+18 2.6846 7.95401E+16
907d17 2.01866E+18 1.3348 3.95903E+16
908d17 2.02084E+18 1.3393 3.97642E+16
909d17 2.02301E+18 2.6936 8.00604E+16
910d17 2.02519E+18 1.7455 5.19337E+16
911d17 2.02737E+18 1.3348 3.97569E+16
912d17 2.02954E+18 2.8235 8.41868E+16
913d17 2.03172E+18 1.4998 4.47642E+16
914d17 2.03389E+18 1.3363 3.99257E+16
915d17 2.03607E+18 2.7119 8.11115E+16
916d17 2.03824E+18 1.3392 4.00973E+16
917d17 2.04042E+18 1.6124 4.83274E+16
918d17 2.0426E+18 2.8444 8.53434E+16
919d17 2.04477E+18 1.3348 4.009E+16
920d17 2.04695E+18 1.3968 4.19969E+16
921d17 2.04912E+18 2.6754 8.05224E+16
922d17 2.0513E+18 1.3362 4.02588E+16
923d17 2.05347E+18 1.4756 4.45044E+16
924d17 2.05565E+18 2.6667 8.0509E+16
925d17 2.05782E+18 1.3714 4.14475E+16
926d17 2.06E+18 1.3362 4.04253E+16
927d17 2.06217E+18 2.6931 8.15584E+16
928d17 2.06435E+18 1.3827 4.19181E+16
929d17 2.06652E+18 1.3348 4.05063E+16
930d17 2.0687E+18 2.7586 8.38019E+16
931d17 2.07087E+18 1.6941 5.15171E+16
932d17 2.07305E+18 1.3391 4.07632E+16
933d17 2.07522E+18 2.6753 8.15211E+16
934d17 2.0774E+18 1.3362 4.07581E+16
935d17 2.07957E+18 1.5802 4.82516E+16
936d17 2.08175E+18 2.9091 8.89176E+16
937d17 2.08392E+18 1.3348 4.08391E+16
938d17 2.0861E+18 1.6246 4.97584E+16
939d17 2.08827E+18 2.6752 8.20203E+16
940d17 2.09044E+18 1.3630 4.18296E+16
941d17 2.09262E+18 1.3348 4.10055E+16
942d17 2.09479E+18 2.6839 8.2536E+16
943d17 2.09697E+18 1.4326 4.41021E+16
944d17 2.09914E+18 1.3567 4.18075E+16
945d17 2.10132E+18 3.2000 9.87078E+16
946d17 2.10349E+18 1.5176 4.686E+16
947d17 2.10566E+18 1.3347 4.1255E+16
948d17 2.10784E+18 2.7013 8.35775E+16
949d17 2.11001E+18 1.4750 4.56831E+16
950d17 2.11219E+18 1.4118 4.37677E+16
951d17 2.11436E+18 2.6751 8.30181E+16
952d17 2.11653E+18 1.7067 5.30167E+16
953d17 2.11871E+18 1.3347 4.15044E+16
954d17 2.12088E+18 2.7190 8.46324E+16
955d17 2.12305E+18 1.3404 4.17638E+16
956d17 2.12523E+18 1.3390 4.1761E+16
957d17 2.1274E+18 3.0727 9.59308E+16
958d17 2.12958E+18 1.3361 4.1756E+16
959d17 2.13175E+18 1.6119 5.0423E+16
960d17 2.13392E+18 2.6667 8.35036E+16
961d17 2.1361E+18 1.3793 4.32345E+16
962d17 2.13827E+18 1.4961 4.6942E+16
963d17 2.14044E+18 2.6921 8.45506E+16
964d17 2.14262E+18 1.3389 4.20934E+16
965d17 2.14479E+18 1.3403 4.21792E+16
966d17 2.14696E+18 3.3524 1.05603E+17
967d17 2.14914E+18 1.3347 4.20862E+16
968d17 2.15131E+18 1.4815 4.67602E+16
969d17 2.15348E+18 3.0118 9.51546E+16
970d17 2.15565E+18 1.3474 4.26111E+16
971d17 2.15783E+18 1.3347 4.22524E+16
972d17 2.16E+18 2.6667 8.45007E+16
973d17 2.16217E+18 1.6117 5.11207E+16
974d17 2.16435E+18 1.3361 4.24207E+16
975d17 2.16652E+18 2.9091 9.24544E+16
976d17 2.16869E+18 1.3559 4.31354E+16
977d17 2.17086E+18 1.3347 4.25015E+16
978d17 2.17304E+18 2.6832 8.5527E+16
979d17 2.17521E+18 1.4985 4.78111E+16
980d17 2.17738E+18 1.6000 5.10991E+16
981d17 2.17955E+18 2.6916 8.60449E+16
982d17 2.18173E+18 1.3361 4.27528E+16
983d17 2.1839E+18 1.3347 4.27506E+16
984d17 2.18607E+18 2.7350 8.76895E+16
985d17 2.18824E+18 1.3402 4.30096E+16
986d17 2.19041E+18 1.4749 4.73792E+16
987d17 2.19259E+18 3.2711 1.05182E+17
988d17 2.19476E+18 1.5401 4.95699E+16
989d17 2.19693E+18 1.4309 4.60993E+16
990d17 2.1991E+18 2.9630 9.55504E+16
991d17 2.20127E+18 1.3347 4.30827E+16
992d17 2.20345E+18 1.3793 4.45662E+16
993d17 2.20562E+18 2.6748 8.65065E+16
994d17 2.20779E+18 1.6232 5.25471E+16
995d17 2.20996E+18 1.3401 4.34245E+16
996d17 2.21213E+18 2.6996 8.75611E+16
997d17 2.2143E+18 1.3347 4.33316E+16
998d17 2.21648E+18 1.3360 4.34168E+16
999d17 2.21865E+18 2.7429 8.92206E+16
1000d17 2.22082E+18 1.3333 4.34126E+16

yangchuanju · 发表于 2023-3-24 06:00

用比对法计算相邻（近）偶读的素数对（下列各个偶数的素数对数由愚公688提供）：
偶数素数对波动因子素对/波因
8888888888 14027804 1.143963 12262458
8888888890 21691951 1.738829 12475035
8888888892 26766820 2.182405 12264827
8888888894 12267530 1.000000 12267530
8888888896 12379038 1.009524 12262255
8888888898 24565797 2.002861 12265352
8888888900 16417587 1.338688 12263937
8888888902 12990520 1.059372 12262474
8888888904 29439881 2.400000 12266617
8888888906 13316812 1.085380 12269261

偶数下一/上一下/第一分解式
8888888888 —— 1.000000 2*2*2*11*41*271*9091
8888888890 1.017336 1.017336 2*5*7*23*29*61*3121
8888888892 0.983150 1.000193 2*2*3*13*6353*8969
8888888894 1.000220 1.000414 2*4444444447
8888888896 0.999570 0.999983 2*2*2*2*2*2*107*1298027
8888888898 1.000253 1.000236 2*3*3*701*704461
8888888900 0.999885 1.000121 2*2*5*5*251*354139
8888888902 0.999881 1.000001 2*19*1933*121013
8888888904 1.000338 1.000339 2*2*2*3*7*7*7*1079797
8888888906 1.000216 1.000555 2*17*59*4431151
用比对法计算相邻（近）偶读的素数对，在相除波动因子的影响以后，仅相差2的下一偶数与上一偶数的素数对之比仍在±1.7%间波动；
8888888890至8888888906的素数对除以波动因子后的数值与8888888888的素数对除以波动因子后的数值之比反而要小一些，偶数相差2至14；
已知某个偶数的素数对后，用比对法估算另一个相邻或相近的偶数的素数对，还是可行的。

yangchuanju · 发表于 2023-3-29 12:08

偶数素数对波动系数素数对除以波系与一亿之比分解式
100000000 291400 1.3333 218550.00 1.0000 2^8*5^8
100000002 464621 2.1223 218922.32 1.0017 2*3*19*739*1187
100000004 247582 1.1315 218801.89 1.0012 2*2*13*13*29*5101
100000006 218966 1.0020 218519.13 0.9999 2*491*101833
100000008 437718 2.0000 218859.00 1.0014 2*2*2*3*3*3*3*154321
100000010 323687 1.4815 218488.73 0.9997 2*5*11*909091
100000012 263241 1.2000 219367.50 1.0037 2*2*7*3571429
100000014 437518 2.0000 218759.00 1.0010 2*3*16666669
100000016 220846 1.0105 218545.52 1.0000 2*2*2*2*97*64433
100000018 233634 1.0679 218772.78 1.0010 2*17*1451*2027
100000020 595554 2.7259 218477.69 0.9997 2*2*3*5*47*35461
100000022 220244 1.0099 218084.75 0.9979 2*103*485437
100000024 218846 1.0000 218846.00 1.0014 2*2*2*12500003
100000026 537452 2.4585 218606.47 1.0003 2*3*3*7*43*18457
100000028 220614 1.0090 218644.23 1.0004 2*2*113*221239
100000030 318202 1.4545 218763.88 1.0010 2*5*13*769231
100000032 488938 2.2368 218583.82 1.0002 2*2*2*2*2*3*11*281*337
100000034 218651 1.0000 218651.00 1.0005 2*50000017
100000036 218867 1.0000 218867.00 1.0015 2*2*25000009
100000038 437687 2.0015 218675.42 1.0006 2*3*1303*12791
100000040 370251 1.6941 218550.94 1.0000 2*2*2*5*7*19*18797
100000042 218628 1.0000 218628.00 1.0004 2*50000021
100000044 471539 2.1565 218659.16 1.0005 2*2*3*3*23*23*59*89
100000046 223006 1.0178 219099.94 1.0025 2*67*661*1129
100000048 232850 1.0642 218795.71 1.0011 2*2*2*2*31*37*5449
100000050 583201 2.6667 218700.38 1.0007 2*3*5*5*666667
100000052 234905 1.0739 218732.82 1.0008 2*2*17*151*9739
100000054 294354 1.3443 218970.55 1.0019 2*7*11*127*5113
100000056 476194 2.1818 218255.58 0.9987 2*2*2*3*13*320513
100000058 219403 1.0042 218488.82 0.9997 2*241*207469
100000060 298565 1.3651 218716.38 1.0008 2*2*5*83*107*563
100000062 453001 2.0741 218411.20 0.9994 2*3*3*3*29*63857
100000064 219025 1.0016 218674.14 1.0006 2*2*2*2*2*2*1201*1301
100000066 224432 1.0275 218417.99 0.9994 2*41*919*1327
100000068 524770 2.4000 218654.17 1.0005 2*2*3*7*1190477
100000070 292012 1.3348 218776.01 1.0010 2*5*941*10627
100000072 221908 1.0141 218825.94 1.0013 2*2*2*73*171233
100000074 438264 2.0096 218088.51 0.9979 2*3*211*78989
100000076 242678 1.1111 218410.20 0.9994 2*2*11*2272729
100000078 231917 1.0588 219032.72 1.0022 2*19*2631581
100000080 583525 2.6667 218821.88 1.0012 2*2*2*2*3*3*5*138889
100000082 292093 1.3357 218687.84 1.0006 2*7*7*13*53*1481
100000084 219903 1.0037 219088.54 1.0025 2*2*271*92251
100000086 466029 2.1333 218451.09 0.9995 2*3*17*980393
100000088 220400 1.0093 218359.26 0.9991 2*2*2*109*114679
100000090 304565 1.3968 218040.85 0.9977 2*5*23*434783
100000092 443284 2.0290 218475.69 0.9997 2*2*3*71*117371
100000094 218723 1.0000 218723.00 1.0008 2*50000047
100000096 265787 1.2158 218610.86 1.0003 2*2*2*2*2*7*79*5651
100000098 486708 2.2222 219018.60 1.0021 2*3*3*11*505051
100000100 294149 1.3469 218383.57 0.9992 2*2*5*5*101*9901
100000102 218867 1.0003 218804.75 1.0012 2*6367*7853
100000104 437402 2.0000 218701.00 1.0007 2*2*2*3*4166671
100000106 221874 1.0169 218176.10 0.9983 2*61*819673
100000108 238540 1.0909 218661.67 1.0005 2*2*13*1923079
最大 595554 2.7259 219367.50 1.0037
最小 218628 1.0000 218040.85 0.9977

以1亿为基数，采用比对法求1亿零2至1亿零108的素数对，
与真实值相比，最大误差1.00374-1=0.00374；最小误差0.99767-1=-0.00233；
即比对法的精度可达99%以上，该法可行！

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