10的k次方的哥猜数回归分析

yangchuanju · 发表于 2026-6-7 07:15

10的k次方的哥猜数回归分析
前曾对一般偶数，添加过一个乘数n/(n-0.878)，用于估算较大偶数的哥猜数值，效果不错；
详见《我也随便加个系数，来计算一下大偶数的哥猜素数对》，http://www.mathchina.com/bbs/for ... hlight=%CB%E6%B1%E3
现特对10的k次方给出另一个乘数(k+1.025984)/k，专用于估算特大幂数的哥猜数，（对于较小幂数效果不是很好）
请看以下分析——

偶数10的1-16次方的单计哥猜数及哈李对数计算式值与哥猜数之比——
幂数k 偶数最大素数波动因子哥猜数哈李哥数哈李/哥数
1 10 3 1.3333 2 1.66 0.830095
2 100 7 1.3333 6 4.15 0.691746
3 1000 31 1.3333 28 18.45 0.658806
4 10000 97 1.3333 127 103.76 0.817023
5 100000 313 1.3333 810 664.08 0.819847
6 1000000 997 1.3333 5402 4611.64 0.853691
7 10000000 3137 1.3333 38807 33881.43 0.873075
8 100000000 9973 1.3333 291400 259404.67 0.890201
9 1000000000 31607 1.3333 2274205 2049617.13 0.901246
10 10000000000 99991 1.3333 18200488 16601898.72 0.912168
11 1E+11 316223 1.3333 149091160 137205774.57 0.920281
12 1E+12 999983 1.3333 1243722370 1152909633.50 0.926983
13 1E+13 3162277 1.3333 10533150855 9823608711.48 0.932637
14 1E+14 9999991 1.3333 90350630388 84703564910.22 0.937498
15 1E+15 31622743 1.3333 783538341852 737862165440.17 0.941705
16 1E+16 99999989 1.3333 6852674128787 6485116688439.00 0.946363

表中10的1--15次方哥猜数取自OEIS数表，10的16次方哥猜数取自上海愚公计算数据；
从表中数据容易看出，哈李与哥数之比由10^3的0.658806逐渐增大到10^16的0.946363；如果幂指数继续增大，比值将逐渐向1靠近！

yangchuanju · 发表于 2026-6-7 07:17

10的17次方以上各级幂数的精确哥猜数现无人给出；
笔者根据现已知的哥猜数、哈李对数式计算值与真实哥猜数之比，对此进行回归分析，得到一个系数(k+1.025984)/k,
笔者认为，在哈李对数计算式之上乘以杨系数，应该更能接近于它们的真实哥猜数一些——

幂数k 哥猜数杨系数杨哥猜数杨哥/哥数哈李/哥数
8 291400 1.128248 292673 1.004368 0.890201
9 2274205 1.113998 2283270 1.003986 0.901246
10 18200488 1.102598 18305227 1.005755 0.912168
11 149091160 1.093271 150003132 1.006117 0.920281
12 1243722370 1.085499 1251481870 1.006239 0.926983
13 10533150855 1.078922 10598906047 1.006243 0.932637
14 90350630388 1.073285 90911029363 1.006202 0.937498
15 783538341852 1.068399 788331150503 1.006117 0.941705
16 6852674128787 1.064124 6900968310968 1.007047 0.946363

yangchuanju · 发表于 2026-6-7 07:19

幂数k 杨系数杨哥猜数哈李哥猜数哈哥/杨哥
17 1.060352 6.0913E+13 5.7446E+13 0.943083
18 1.056999 5.41611E+14 5.12404E+14 0.946075
19 1.053999 4.8472E+15 4.59886E+15 0.948767
20 1.051299 4.36339E+16 4.15047E+16 0.951204
21 1.048856 3.94853E+17 3.7646E+17 0.953419
22 1.046636 3.59011E+18 3.43014E+18 0.955442
23 1.044608 3.27835E+19 3.13836E+19 0.957297
24 1.042749 3.00549E+20 2.88227E+20 0.959003
25 1.041039 2.76532E+21 2.6563E+21 0.960578
26 1.039461 2.55281E+22 2.4559E+22 0.962037
27 1.037999 2.36389E+23 2.27735E+23 0.963392
28 1.036642 2.19518E+24 2.11759E+24 0.964653
29 1.035379 2.04391E+25 1.97407E+25 0.965830
30 1.034199 1.90774E+26 1.84466E+26 0.966931
31 1.033096 1.78474E+27 1.72756E+27 0.967964
32 1.032062 1.67326E+28 1.62128E+28 0.968934
33 1.031090 1.57191E+29 1.52451E+29 0.969847
34 1.030176 1.47949E+30 1.43615E+30 0.970708
35 1.029314 1.39498E+31 1.35526E+31 0.971521
36 1.028500 1.31752E+32 1.28101E+32 0.972290
37 1.027729 1.24633E+33 1.2127E+33 0.973019
38 1.027000 1.18076E+34 1.14972E+34 0.973710
39 1.026307 1.12023E+35 1.09151E+35 0.974367
40 1.025650 1.06423E+36 1.03762E+36 0.974992
41 1.025024 1.01233E+37 9.8762E+36 0.975587
42 1.024428 9.64141E+37 9.41151E+37 0.976154
43 1.023860 9.19309E+38 8.97885E+38 0.976696
44 1.023318 8.77532E+39 8.57536E+39 0.977214
45 1.022800 8.38539E+40 8.19847E+40 0.977709
46 1.022304 8.02088E+41 7.84589E+41 0.978183
47 1.021829 7.67963E+42 7.51557E+42 0.978637
48 1.021375 7.3597E+43 7.20569E+43 0.979073
49 1.020938 7.05936E+44 6.91458E+44 0.979491
50 1.020520 6.77703E+45 6.64076E+45 0.979893
51 1.020117 6.5113E+46 6.38289E+46 0.980279
52 1.019730 6.2609E+47 6.13976E+47 0.980651
53 1.019358 6.02466E+48 5.91025E+48 0.981009
54 1.019000 5.80155E+49 5.69338E+49 0.981355
55 1.018654 5.59061E+50 5.48823E+50 0.981687
56 1.018321 5.39096E+51 5.29397E+51 0.982008
57 1.018000 5.20182E+52 5.10985E+52 0.982319
58 1.017689 5.02247E+53 4.93517E+53 0.982618
59 1.017390 4.85223E+54 4.76929E+54 0.982908
60 1.017100 4.6905E+55 4.61164E+55 0.983188
61 1.016819 4.53672E+56 4.46168E+56 0.983459
62 1.016548 4.39038E+57 4.31891E+57 0.983721
63 1.016285 4.25101E+58 4.18289E+58 0.983976
64 1.016031 4.11817E+59 4.0532E+59 0.984222
65 1.015784 3.99147E+60 3.92944E+60 0.984461
66 1.015545 3.87052E+61 3.81127E+61 0.984693
67 1.015313 3.75498E+62 3.69835E+62 0.984918
68 1.015088 3.64455E+63 3.59038E+63 0.985136
69 1.014869 3.53891E+64 3.48706E+64 0.985349
70 1.014657 3.4378E+65 3.38814E+65 0.985555
71 1.014450 3.34096E+66 3.29337E+66 0.985755
72 1.014250 3.24816E+67 3.20253E+67 0.985950
73 1.014055 3.15917E+68 3.11539E+68 0.986140
74 1.013865 3.07379E+69 3.03176E+69 0.986325
75 1.013680 2.99182E+70 2.95145E+70 0.986505
76 1.013500 2.91309E+71 2.87429E+71 0.986680
77 1.013324 2.83743E+72 2.80012E+72 0.986851
78 1.013154 2.76467E+73 2.72878E+73 0.987017
79 1.012987 2.69468E+74 2.66013E+74 0.987179
80 1.012825 2.62731E+75 2.59405E+75 0.987338
81 1.012666 2.56244E+76 2.53039E+76 0.987492
82 1.012512 2.49994E+77 2.46905E+77 0.987643
83 1.012361 2.4397E+78 2.40991E+78 0.987790
84 1.012214 2.38162E+79 2.35288E+79 0.987933
85 1.012070 2.32558E+80 2.29784E+80 0.988074
86 1.011930 2.27149E+81 2.24471E+81 0.988211
87 1.011793 2.21927E+82 2.19341E+82 0.988345
88 1.011659 2.16884E+83 2.14384E+83 0.988475
89 1.011528 2.1201E+84 2.09593E+84 0.988603
90 1.011400 2.07298E+85 2.04962E+85 0.988729
91 1.011275 2.02742E+86 2.00482E+86 0.988851
92 1.011152 1.98335E+87 1.96147E+87 0.988971
93 1.011032 1.94069E+88 1.91952E+88 0.989088
94 1.010915 1.8994E+89 1.87889E+89 0.989203
95 1.010800 1.85941E+90 1.83955E+90 0.989316
96 1.010687 1.82067E+91 1.80142E+91 0.989426
97 1.010577 1.78313E+92 1.76447E+92 0.989534
98 1.010469 1.74674E+93 1.72864E+93 0.989639
99 1.010363 1.71145E+94 1.6939E+94 0.989743
100 1.010260 1.67722E+95 1.66019E+95 0.989844
101 1.010158 1.64401E+96 1.62748E+96 0.989944
102 1.010059 1.61177E+97 1.59572E+97 0.990042
103 1.009961 1.58048E+98 1.56489E+98 0.990137
104 1.009865 1.5501E+99 1.5349E+99 0.990231
105 1.009771 1.5206E+100 1.5058E+100 0.990323
106 1.009679 1.4919E+101 1.4776E+101 0.990414
107 1.009589 1.464E+102 1.4501E+102 0.990502
108 1.009500 1.4369E+103 1.4233E+103 0.990590
109 1.009413 1.4105E+104 1.3973E+104 0.990675
110 1.009327 1.3849E+105 1.3721E+105 0.990759
111 1.009243 1.3599E+106 1.3474E+106 0.990842
112 1.009161 1.3356E+107 1.3235E+107 0.990923
113 1.009080 1.312E+108 1.3002E+108 0.991002
114 1.009000 1.289E+109 1.2775E+109 0.991080
115 1.008922 1.2665E+110 1.2553E+110 0.991157
116 1.008845 1.2447E+111 1.2338E+111 0.991233
117 1.008769 1.2234E+112 1.2128E+112 0.991307
118 1.008695 1.2027E+113 1.1923E+113 0.991380
119 1.008622 1.1825E+114 1.1724E+114 0.991452
120 1.008550 1.1628E+115 1.1529E+115 0.991523
121 1.008479 1.1435E+116 1.1339E+116 0.991592
122 1.008410 1.1248E+117 1.1154E+117 0.991660
123 1.008341 1.1065E+118 1.0974E+118 0.991728
124 1.008274 1.0887E+119 1.0797E+119 0.991794
125 1.008208 1.0712E+120 1.0625E+120 0.991859
126 1.008143 1.0542E+121 1.0457E+121 0.991923
127 1.008079 1.0376E+122 1.0293E+122 0.991986
128 1.008016 1.0214E+123 1.0133E+123 0.992048
129 1.007953 1.0056E+124 9.9765E+123 0.992109
130 1.007892 9.9011E+124 9.8236E+124 0.992170
131 1.007832 9.75E+125 9.6742E+125 0.992229
132 1.007773 9.6022E+126 9.5282E+126 0.992287
133 1.007714 9.4578E+127 9.3854E+127 0.992345
134 1.007657 9.3167E+128 9.2459E+128 0.992402
135 1.007600 9.1786E+129 9.1094E+129 0.992457
136 1.007544 9.0437E+130 8.9759E+130 0.992512
137 1.007489 8.9116E+131 8.8454E+131 0.992567
138 1.007435 8.7825E+132 8.7177E+132 0.992620
139 1.007381 8.6561E+133 8.5927E+133 0.992673
140 1.007328 8.5324E+134 8.4704E+134 0.992725
141 1.007276 8.4114E+135 8.3506E+135 0.992776
142 1.007225 8.2929E+136 8.2334E+136 0.992827
143 1.007175 8.1769E+137 8.1187E+137 0.992876
144 1.007125 8.0634E+138 8.0063E+138 0.992926
145 1.007076 7.9521E+139 7.8963E+139 0.992974
146 1.007027 7.8432E+140 7.7885E+140 0.993022
147 1.006979 7.7365E+141 7.6829E+141 0.993069
148 1.006932 7.6319E+142 7.5794E+142 0.993115
149 1.006886 7.5295E+143 7.478E+143 0.993161
150 1.006840 7.4291E+144 7.3786E+144 0.993207
151 1.006795 7.3307E+145 7.2812E+145 0.993251
152 1.006750 7.2342E+146 7.1857E+146 0.993295
153 1.006706 7.1397E+147 7.0921E+147 0.993339
154 1.006662 7.0469E+148 7.0003E+148 0.993382
155 1.006619 6.956E+149 6.9103E+149 0.993424
156 1.006577 6.8668E+150 6.822E+150 0.993466
157 1.006535 6.7793E+151 6.7353E+151 0.993507
158 1.006494 6.6935E+152 6.6503E+152 0.993548
159 1.006453 6.6093E+153 6.5669E+153 0.993589
160 1.006412 6.5267E+154 6.4851E+154 0.993628
161 1.006373 6.4456E+155 6.4048E+155 0.993668
162 1.006333 6.366E+156 6.326E+156 0.993707
163 1.006294 6.2879E+157 6.2486E+157 0.993745
164 1.006256 6.2112E+158 6.1726E+158 0.993783
165 1.006218 6.136E+159 6.098E+159 0.993820
166 1.006181 6.062E+160 6.0248E+160 0.993857
167 1.006144 5.9894E+161 5.9528E+161 0.993894
168 1.006107 5.9181E+162 5.8822E+162 0.993930
169 1.006071 5.8481E+163 5.8128E+163 0.993966
170 1.006035 5.7793E+164 5.7446E+164 0.994001
171 1.006000 5.7117E+165 5.6776E+165 0.994036
172 1.005965 5.6453E+166 5.6118E+166 0.994070
173 1.005931 5.58E+167 5.5471E+167 0.994104
174 1.005896 5.5159E+168 5.4835E+168 0.994138
175 1.005863 5.4528E+169 5.421E+169 0.994171
176 1.005829 5.3908E+170 5.3596E+170 0.994204
177 1.005797 5.3299E+171 5.2992E+171 0.994237
178 1.005764 5.27E+172 5.2398E+172 0.994269
179 1.005732 5.2112E+173 5.1815E+173 0.994301
180 1.005700 5.1532E+174 5.124E+174 0.994332
181 1.005668 5.0963E+175 5.0676E+175 0.994364
182 1.005637 5.0403E+176 5.012E+176 0.994394
183 1.005606 4.9852E+177 4.9574E+177 0.994425
184 1.005576 4.931E+178 4.9037E+178 0.994455
185 1.005546 4.8777E+179 4.8508E+179 0.994485
186 1.005516 4.8253E+180 4.7988E+180 0.994514
187 1.005487 4.7737E+181 4.7476E+181 0.994543
188 1.005457 4.7229E+182 4.6972E+182 0.994572
189 1.005428 4.6729E+183 4.6477E+183 0.994601
190 1.005400 4.6237E+184 4.5989E+184 0.994629
191 1.005372 4.5753E+185 4.5508E+185 0.994657
192 1.005344 4.5276E+186 4.5036E+186 0.994685
193 1.005316 4.4807E+187 4.457E+187 0.994712
194 1.005289 4.4345E+188 4.4112E+188 0.994739
195 1.005261 4.389E+189 4.366E+189 0.994766
196 1.005235 4.3442E+190 4.3216E+190 0.994793
197 1.005208 4.3001E+191 4.2778E+191 0.994819
198 1.005182 4.2567E+192 4.2347E+192 0.994845
199 1.005156 4.2139E+193 4.1923E+193 0.994871
200 1.005130 4.1718E+194 4.1505E+194 0.994896
201 1.005104 4.1303E+195 4.1093E+195 0.994922
202 1.005079 4.0894E+196 4.0687E+196 0.994947
203 1.005054 4.0491E+197 4.0287E+197 0.994971
204 1.005029 4.0094E+198 3.9893E+198 0.994996
205 1.005005 3.9703E+199 3.9505E+199 0.995020
206 1.004981 3.9317E+200 3.9122E+200 0.995044
207 1.004956 3.8937E+201 3.8745E+201 0.995068
208 1.004933 3.8563E+202 3.8373E+202 0.995092
209 1.004909 3.8194E+203 3.8007E+203 0.995115
210 1.004886 3.783E+204 3.7646E+204 0.995138
211 1.004862 3.7471E+205 3.729E+205 0.995161
212 1.004840 3.7118E+206 3.6939E+206 0.995184
213 1.004817 3.6769E+207 3.6593E+207 0.995206
214 1.004794 3.6426E+208 3.6252E+208 0.995229
215 1.004772 3.6087E+209 3.5915E+209 0.995251
216 1.004750 3.5753E+210 3.5584E+210 0.995273
217 1.004728 3.5423E+211 3.5256E+211 0.995294
218 1.004706 3.5098E+212 3.4934E+212 0.995316
219 1.004685 3.4778E+213 3.4615E+213 0.995337
220 1.004664 3.4461E+214 3.4301E+214 0.995358
221 1.004642 3.415E+215 3.3992E+215 0.995379
222 1.004622 3.3842E+216 3.3686E+216 0.995400
223 1.004601 3.3538E+217 3.3385E+217 0.995420
224 1.004580 3.3239E+218 3.3087E+218 0.995441
225 1.004560 3.2943E+219 3.2794E+219 0.995461
226 1.004540 3.2652E+220 3.2504E+220 0.995481
227 1.004520 3.2364E+221 3.2219E+221 0.995501
228 1.004500 3.208E+222 3.1937E+222 0.995520
229 1.004480 3.18E+223 3.1658E+223 0.995540
230 1.004461 3.1524E+224 3.1384E+224 0.995559
231 1.004441 3.1251E+225 3.1112E+225 0.995578
232 1.004422 3.0981E+226 3.0845E+226 0.995597
233 1.004403 3.0715E+227 3.0581E+227 0.995616
234 1.004385 3.0453E+228 3.032E+228 0.995635
235 1.004366 3.0194E+229 3.0062E+229 0.995653
236 1.004347 2.9938E+230 2.9808E+230 0.995671
237 1.004329 2.9685E+231 2.9557E+231 0.995690
238 1.004311 2.9436E+232 2.9309E+232 0.995708
239 1.004293 2.9189E+233 2.9064E+233 0.995726
240 1.004275 2.8946E+234 2.8823E+234 0.995743
241 1.004257 2.8706E+235 2.8584E+235 0.995761
242 1.004240 2.8468E+236 2.8348E+236 0.995778
243 1.004222 2.8234E+237 2.8115E+237 0.995796
244 1.004205 2.8003E+238 2.7885E+238 0.995813
245 1.004188 2.7774E+239 2.7658E+239 0.995830
246 1.004171 2.7548E+240 2.7434E+240 0.995847
247 1.004154 2.7325E+241 2.7212E+241 0.995863
248 1.004137 2.7105E+242 2.6993E+242 0.995880
249 1.004120 2.6887E+243 2.6777E+243 0.995896
250 1.004104 2.6672E+244 2.6563E+244 0.995913
251 1.004088 2.646E+245 2.6352E+245 0.995929
252 1.004071 2.625E+246 2.6143E+246 0.995945
253 1.004055 2.6042E+247 2.5937E+247 0.995961
254 1.004039 2.5837E+248 2.5733E+248 0.995977
255 1.004023 2.5634E+249 2.5532E+249 0.995993
256 1.004008 2.5434E+250 2.5332E+250 0.996008
257 1.003992 2.5236E+251 2.5136E+251 0.996024
258 1.003977 2.504E+252 2.4941E+252 0.996039
259 1.003961 2.4847E+253 2.4749E+253 0.996054
260 1.003946 2.4656E+254 2.4559E+254 0.996069
261 1.003931 2.4467E+255 2.4371E+255 0.996084
262 1.003916 2.428E+256 2.4186E+256 0.996099
263 1.003901 2.4096E+257 2.4002E+257 0.996114
264 1.003886 2.3913E+258 2.382E+258 0.996129
265 1.003872 2.3733E+259 2.3641E+259 0.996143
266 1.003857 2.3554E+260 2.3464E+260 0.996158
267 1.003843 2.3378E+261 2.3288E+261 0.996172
268 1.003828 2.3203E+262 2.3115E+262 0.996186
269 1.003814 2.3031E+263 2.2943E+263 0.996200
270 1.003800 2.286E+264 2.2774E+264 0.996214
271 1.003786 2.2691E+265 2.2606E+265 0.996228
272 1.003772 2.2524E+266 2.244E+266 0.996242
273 1.003758 2.2359E+267 2.2276E+267 0.996256
274 1.003744 2.2196E+268 2.2113E+268 0.996270
275 1.003731 2.2035E+269 2.1953E+269 0.996283
276 1.003717 2.1875E+270 2.1794E+270 0.996296
277 1.003704 2.1717E+271 2.1637E+271 0.996310
278 1.003691 2.1561E+272 2.1482E+272 0.996323
279 1.003677 2.1406E+273 2.1328E+273 0.996336
280 1.003664 2.1253E+274 2.1176E+274 0.996349
281 1.003651 2.1102E+275 2.1025E+275 0.996362
282 1.003638 2.0953E+276 2.0877E+276 0.996375
283 1.003625 2.0804E+277 2.0729E+277 0.996388
284 1.003613 2.0658E+278 2.0584E+278 0.996400
285 1.003600 2.0513E+279 2.0439E+279 0.996413
286 1.003587 2.037E+280 2.0297E+280 0.996425
287 1.003575 2.0228E+281 2.0156E+281 0.996438
288 1.003562 2.0087E+282 2.0016E+282 0.996450
289 1.003550 1.9948E+283 1.9878E+283 0.996462
290 1.003538 1.9811E+284 1.9741E+284 0.996475
291 1.003526 1.9674E+285 1.9605E+285 0.996487
292 1.003514 1.954E+286 1.9471E+286 0.996499
293 1.003502 1.9406E+287 1.9338E+287 0.996511
294 1.003490 1.9274E+288 1.9207E+288 0.996522
295 1.003478 1.9144E+289 1.9077E+289 0.996534
296 1.003466 1.9014E+290 1.8948E+290 0.996546
297 1.003454 1.8886E+291 1.8821E+291 0.996557
298 1.003443 1.8759E+292 1.8695E+292 0.996569
299 1.003431 1.8634E+293 1.857E+293 0.996580
300 1.003420 1.851E+294 1.8447E+294 0.996592
301 1.003409 1.8387E+295 1.8324E+295 0.996603
302 1.003397 1.8265E+296 1.8203E+296 0.996614
303 1.003386 1.8144E+297 1.8083E+297 0.996625
304 1.003375 1.8025E+298 1.7964E+298 0.996636
305 1.003364 1.7907E+299 1.7847E+299 0.996647
306 1.003353 1.779E+300 1.773E+300 0.996658
307 1.003342 1.7674E+301 1.7615E+301 0.996669
308 1.003331 1.7559E+302 1.7501E+302 0.996680

yangchuanju · 发表于 2026-6-7 07:21

分别对杨系数、杨哥、哈李哥取常用对数后——
幂数k log(杨系数) log(杨哥) log(哈哥) 哈哥/杨哥杨哥/哥数哈李/哥数
1 0.306636 0.526794 0.220158 0.493587 1.681759 0.830095
2 0.179837 0.797934 0.618098 0.660942 1.046606 0.691746
3 0.127751 1.393666 1.265915 0.745159 0.884113 0.658806
4 0.099161 2.115199 2.016038 0.795864 1.026586 0.817023
5 0.081058 2.903276 2.822218 0.829740 0.988077 0.819847
6 0.068556 3.732411 3.663855 0.853973 0.999670 0.853691
7 0.059400 4.589362 4.529962 0.872167 1.001041 0.873075
8 0.052405 5.466382 5.413978 0.886330 1.004368 0.890201
9 0.046884 6.358557 6.311673 0.897668 1.003986 0.901246
10 0.042417 7.262575 7.220158 0.906949 1.005755 0.912168
11 0.038728 8.176100 8.137372 0.914686 1.006117 0.920281
12 0.035629 9.097425 9.061795 0.921236 1.006239 0.926983
13 0.032990 10.025261 9.992271 0.926851 1.006243 0.932637
14 0.030715 10.958617 10.927902 0.931719 1.006202 0.937498
15 0.028733 11.896709 11.867975 0.935980 1.006117 0.941705
16 0.026992 12.838910 12.811918 0.939740 1.007047 0.946363

yangchuanju · 发表于 2026-6-7 07:22

幂数k log(杨系数) log(杨哥) log(哈哥) 哈哥/杨哥
10 0.042417358 7.262575118 7.22015776 0.90694853175916
20 0.021726334 16.6398241 16.61809777 0.95120399596994
30 0.014604309 26.28051956 26.26591525 0.96693145977256
40 0.010999015 36.02703679 36.01603778 0.97499184906814
50 0.008821384 45.83103914 45.82221775 0.97989291103136
60 0.00736354 55.6712188 55.66385526 0.98318775163051
70 0.006319219 65.5362809 65.52996168 0.98555480766022
80 0.005534327 75.41951211 75.41397779 0.98733759283934
90 0.004922873 85.31659561 85.31167274 0.98872866894795
100 0.004433089 95.22459085 95.22015776 0.98984435528982
200 0.002222201 194.62032 194.6180978 0.99489626176881
300 0.00148273 294.267398 294.2659153 0.99659170950516
400 0.001112522 394.0171503 394.0160378 0.99744160218814
500 0.000890245 493.823108 493.8222178 0.99795223395051
600 0.000741998 593.6645973 593.6638553 0.99829294568403
700 0.000636076 693.5305978 693.5299617 0.99853645367884
800 0.000556617 793.4145344 793.4139778 0.99871916264843
900 0.000494806 893.3121675 893.3116727 0.99886131585758
1000 0.000445351 993.2206031 993.2201578 0.99897506756440
2000 0.000222732 1992.618321 1992.618098 0.99948727102561
3000 0.000148501 2992.266064 2992.265915 0.99965812225360
4000 0.000111381 3992.016149 3992.016038 0.99974356977319
5000 8.91067E-05 4991.822307 4991.822218 0.99979484529797
6000 7.42568E-05 5991.66393 5991.663855 0.99982903190298
7000 6.36495E-05 6991.530025 6991.529962 0.99985345233745
8000 5.56938E-05 7991.414033 7991.413978 0.99987176844525
9000 4.9506E-05 8991.311722 8991.311673 0.99988601477081
10000 4.45556E-05 9991.220202 9991.220158 0.99989741212733
20000 2.22784E-05 19990.61812 19990.6181 0.99994870342879
30000 1.48524E-05 29990.26593 29990.26592 0.99996580170031
40000 1.11393E-05 39990.01605 39990.01604 0.99997435105460
50000 8.91149E-06 49989.82223 49989.82222 0.99997948074414
60000 7.42626E-06 59989.66386 59989.66386 0.99998290055737
70000 6.36537E-06 69989.52997 69989.52996 0.99998534329784
80000 5.5697E-06 79989.41398 79989.41398 0.99998717536967
90000 4.95085E-06 89989.31168 89989.31167 0.99998860030559
100000 4.45577E-06 99989.22016 99989.22016 0.99998974026918
200000 2.22789E-06 199988.6181 199988.6181 0.99999487008793
300000 1.48526E-06 299988.2659 299988.2659 0.99999658001102
400000 1.11395E-06 399988.016 399988.016 0.99999743497366
500000 8.91157E-07 499987.8222 499987.8222 0.99999794803201
600000 7.42631E-07 599987.6639 599987.6639 0.99999829007106
700000 6.36541E-07 699987.53 699987.53 0.99999853426986
800000 5.56974E-07 799987.414 799987.414 0.99999871762004
900000 4.95088E-07 899987.3117 899987.3117 0.99999885995770
1000000 4.45579E-07 999987.2202 999987.2202 0.99999897388145
2000000 2.2279E-07 1999986.618 1999986.618 0.99999948694059
3000000 1.48526E-07 2999986.266 2999986.266 0.99999965796037
4000000 1.11395E-07 3999986.016 3999986.016 0.99999974373832
5000000 8.91158E-08 4999985.822 4999985.822 0.99999979627732
6000000 7.42632E-08 5999985.664 5999985.664 0.99999983058851
7000000 6.36542E-08 6999985.53 6999985.53 0.99999985417745
8000000 5.56974E-08 7999985.414 7999985.414 0.99999987347749
9000000 4.95088E-08 8999985.312 8999985.312 0.99999988848863
10000000 4.45579E-08 9999985.22 9999985.22 0.99999989706643
20000000 2.2279E-08 19999984.62 19999984.62 0.99999994853321
30000000 1.48526E-08 29999984.27 29999984.27 0.99999996568881
40000000 1.11395E-08 39999984.02 39999984.02 0.99999998284440
50000000 8.91158E-09 49999983.82 49999983.82 0.99999998284440
60000000 7.42632E-09 59999983.66 59999983.66 0.99999998284440
70000000 6.36542E-09 69999983.53 69999983.53 1.00000000000000
80000000 5.56974E-09 79999983.41 79999983.41 1.00000000000000
90000000 4.95088E-09 89999983.31 89999983.31 1.00000000000000
100000000 4.45579E-09 99999983.22 99999983.22 1.00000000000000
200000000 2.2279E-09 199999982.6 199999982.6 1.00000000000000
300000000 1.48526E-09 299999982.3 299999982.3 1.00000000000000
400000000 1.11395E-09 399999982 399999982 1.00000000000000
500000000 8.91158E-10 499999981.8 499999981.8 1.00000000000000
600000000 7.42632E-10 599999981.7 599999981.7 1.00000000000000
700000000 6.36542E-10 699999981.5 699999981.5 1.00000000000000
800000000 5.56974E-10 799999981.4 799999981.4 1.00000000000000
900000000 4.95088E-10 899999981.3 899999981.3 1.00000000000000
1000000000 4.45579E-10 999999981.2 999999981.2 1.00000000000000
2000000000 2.2279E-10 1999999981 1999999981 1.00000000000000
3000000000 1.48526E-10 2999999980 2999999980 1.00000000000000
4000000000 1.11395E-10 3999999980 3999999980 1.00000000000000
5000000000 8.91158E-11 4999999980 4999999980 1.00000000000000
6000000000 7.42631E-11 5999999980 5999999980 1.00000000000000
7000000000 6.36542E-11 6999999980 6999999980 1.00000000000000
8000000000 5.56974E-11 7999999979 7999999979 1.00000000000000
9000000000 4.95088E-11 8999999979 8999999979 1.00000000000000
10000000000 4.45579E-11 9999999979 9999999979 1.00000000000000
20000000000 2.2279E-11 19999999979 19999999979 1.00000000000000
30000000000 1.48527E-11 29999999978 29999999978 1.00000000000000
40000000000 1.11395E-11 39999999978 39999999978 1.00000000000000
50000000000 8.91164E-12 49999999978 49999999978 1.00000000000000
60000000000 7.42629E-12 59999999978 59999999978 1.00000000000000
70000000000 6.36543E-12 69999999978 69999999978 1.00000000000000
80000000000 5.56976E-12 79999999977 79999999977 1.00000000000000
90000000000 4.95086E-12 89999999977 89999999977 1.00000000000000
1E+11 4.45577E-12 99999999977 99999999977 1.00000000000000
2E+11 2.22789E-12 199999999977 199999999977 1.00000000000000
3E+11 1.48526E-12 299999999976 299999999976 1.00000000000000
4E+11 1.11399E-12 399999999976 399999999976 1.00000000000000
5E+11 8.91135E-13 499999999976 499999999976 1.00000000000000
6E+11 7.42629E-13 599999999976 599999999976 1.00000000000000
7E+11 6.36553E-13 699999999976 699999999976 1.00000000000000
8E+11 5.56996E-13 799999999975 799999999975 1.00000000000000
9E+11 4.95086E-13 899999999975 899999999975 1.00000000000000
1E+12 4.45616E-13 999999999975 999999999975 1.00000000000000
2E+12 2.2276E-13 1999999999975 1999999999975 1.00000000000000
3E+12 1.48506E-13 2999999999974 2999999999974 1.00000000000000
4E+12 1.1138E-13 3999999999974 3999999999974 1.00000000000000
5E+12 8.91039E-14 4999999999974 4999999999974 1.00000000000000
6E+12 7.42532E-14 5999999999974 5999999999974 1.00000000000000
7E+12 6.36456E-14 6999999999974 6999999999974 1.00000000000000
8E+12 5.57381E-14 7999999999973 7999999999973 1.00000000000000
9E+12 4.947E-14 8999999999973 8999999999973 1.00000000000000
1E+13 4.45519E-14 9999999999973 9999999999973 1.00000000000000
2E+13 2.2276E-14 19999999999973 19999999999973 1.00000000000000
3E+13 1.48506E-14 29999999999972 29999999999972 1.00000000000000
4E+13 1.10898E-14 39999999999972 39999999999972 1.00000000000000
5E+13 8.87181E-15 49999999999972 49999999999972 1.00000000000000
6E+13 7.42532E-15 59999999999972 59999999999972 1.00000000000000
7E+13 6.36456E-15 69999999999972 69999999999972 1.00000000000000
8E+13 5.5931E-15 79999999999971 79999999999971 1.00000000000000
9E+13 5.0145E-15 89999999999971 89999999999971 1.00000000000000
1E+14 4.43591E-15 99999999999971 99999999999971 1.00000000000000
2E+14 2.21795E-15 199999999999971 199999999999971 1.00000000000000
3E+14 1.44649E-15 299999999999970 299999999999970 1.00000000000000
4E+14 1.06076E-15 399999999999970 399999999999970 1.00000000000000
5E+14 8.67895E-16 499999999999970 499999999999970 1.00000000000000
6E+14 7.71462E-16 599999999999970 599999999999970 1.00000000000000
7E+14 5.78596E-16 699999999999970 699999999999970 1.00000000000000
8E+14 5.78596E-16 799999999999969 799999999999969 1.00000000000000
9E+14 4.82164E-16 899999999999969 899999999999969 1.00000000000000
1E+15 4.82164E-16 999999999999969 999999999999969 1.00000000000000

yangchuanju · 发表于 2026-6-7 07:24

简表
幂数k log(杨系数) log(杨哥) log(哈哥) 哈哥/杨哥
10 0.042417358 7.262575118 7.22015776 0.90694853175916
100 0.004433089 95.22459085 95.22015776 0.98984435528982
1000 0.000445351 993.2206031 993.2201578 0.99897506756440
10000 4.45556E-05 9991.220202 9991.220158 0.99989741212733
100000 4.45577E-06 99989.22016 99989.22016 0.99998974026918
1000000 4.45579E-07 999987.2202 999987.2202 0.99999897388145
10000000 4.45579E-08 9999985.22 9999985.22 0.99999989706643
100000000 4.45579E-09 99999983.22 99999983.22 1.00000000000000
1000000000 4.45579E-10 999999981.2 999999981.2 1.00000000000000
10000000000 4.45579E-11 9999999979 9999999979 1.00000000000000
1E+11 4.45577E-12 99999999977 99999999977 1.00000000000000
1E+12 4.45616E-13 999999999975 999999999975 1.00000000000000
1E+13 4.45519E-14 9999999999973 9999999999973 1.00000000000000
1E+14 4.43591E-15 99999999999971 99999999999971 1.00000000000000
1E+15 4.82164E-16 999999999999969 999999999999969 1.00000000000000

yangchuanju · 发表于 2026-6-7 07:35

吴代业博贴
随便在N/lnN^2前面加个系数，就说是证明了哥猜

吴代业说随便加个系数不能算是证哥猜，
我说的是特大幂数哥猜数的估算，
请不要误会和混淆！

柳林 · 发表于 2026-7-12 07:59

巢林止于一忮，饮河止于满腹。

我们把这个古文翻译成现代语言：

小鸟在树上筑巢，有一个稳定的树忮就够了，不需要，也不可能在所有的树上都筑一个巢。

老牛渴了，去河边喝水，只要喝饱就可以了，不需要，也不可能把河水喝干。

解决哥德巴赫猜想，每一个偶数只需要一组（1+1）就够了，不需要，也不可能把所有的（1+1）都列出来。

重生888@ · 发表于 2026-7-12 16:38

lusishun
证明存在即可  发表于 2026-7-12 08:05

证明“存在”，只有两条路：1. 数学归纳法； 2. 鸽笼定理。0+0=1 结论：凡大于等于14的偶数，其哥猜素数对大于等于2（对）！

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10的k次方的哥猜数回归分析

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