特定偶数的哥猜数

yangchuanju · 发表于 2022-6-30 16:54

本帖最后由 yangchuanju 于 2022-6-30 16:55 编辑

重生888@ 发表于 2022-6-30 15:49
D（10*20*30*40*50）=80389
D（12000002）=30145
D（12000004）=30145

偶数M 单计哥猜数 G 重生哥猜数D 重生D/G 愚公t2 愚公c1 波动因子K1 愚公Xi(M) Xi(m)/G
偶数M 单计哥猜数 G 重生哥猜数D 重生D/G 愚公t2 愚公c1 波动因子K1 愚公Xi(M) Xi(m)/G
12000000 90877 80389 0.885 1.137 0.660 2.667 90414.2 0.995
12000002 40751 30145 0.740 1.137 0.660 1.200 40686.4 0.998
12000004 34186 30145 0.882 1.137 0.660 1.001 33945.2 0.993
12000006 68042 60291 0.886 1.137 0.660 2.000 67810.7 0.997
12000008 34022 30145 0.886 1.137 0.660 1.002 33979.1 0.999
12000010 52688 40194 0.763 1.137 0.660 1.544 52358.0 0.994

请重生888@自己对比一下，您的精度与愚公688的精度可比吗？

cuikun-186 · 发表于 2022-7-1 15:39

当Q≥11时：

Q=3+q1+q2

Q=5+q3+q4，

则：q1+q2≡2+q3+q4

q1+q2≡（2+q3）+q4≡q3+(2+q4)

根据解析恒等函数的性质可知：

q1=2+q3,q2=q4

或者：

q2=2+q4,q1=q3

由于Q无穷多，故q1=2+q3,或者q2=2+q4无穷多，故孪生素数有无穷多。

cuikun-186 · 发表于 2022-7-1 15:39

杨老师您好，请问您能否验证一下我的结论？
您辛苦了！

yangchuanju · 发表于 2022-8-6 06:13

yangchuanju 发表于 2022-6-27 05:52
2p型偶数的哥猜数
2p 2p哥猜数分解式计算值误差
6 1 2*3 1.23 0.2338

A116619
2p哥猜数素数号素数p 偶数2p 单哥猜双哥猜
1 1 1 2 4 1 1
2 1 2 3 6 1 1
3 2 3 5 10 2 3
4 2 4 7 14 2 3
5 3 5 11 22 3 5
6 3 6 13 26 3 5
7 4 7 17 34 4 7
8 2 8 19 38 2 3
9 4 9 23 46 4 7
10 4 10 29 58 4 7
11 3 11 31 62 3 5
12 5 12 37 74 5 9
13 5 13 41 82 5 9
14 5 14 43 86 5 9
15 5 15 47 94 5 9
16 6 16 53 106 6 11
17 6 17 59 118 6 11
18 4 18 61 122 4 7
19 6 19 67 134 6 11
20 8 20 71 142 8 15
21 6 21 73 146 6 11
22 5 22 79 158 5 9
23 6 23 83 166 6 11
24 7 24 89 178 7 13
25 7 25 97 194 7 13
26 9 26 101 202 9 17
27 7 27 103 206 7 13
28 8 28 107 214 8 15
29 7 29 109 218 7 13
30 7 30 113 226 7 13
31 9 31 127 254 9 17
32 9 32 131 262 9 17
33 11 33 137 274 11 21
34 7 34 139 278 7 13
35 11 35 149 298 11 21
36 9 36 151 302 9 17
37 9 37 157 314 9 17
38 7 38 163 326 7 13
39 11 39 167 334 11 21
40 9 40 173 346 9 17
41 10 41 179 358 10 19
42 8 42 181 362 8 15
43 10 43 191 382 10 19
44 12 44 193 386 12 23
45 11 45 197 394 11 21
46 7 46 199 398 7 13
47 11 47 211 422 11 21
48 12 48 223 446 12 23
49 12 49 227 454 12 23
50 9 50 229 458 9 17
51 13 51 233 466 13 25
52 11 52 239 478 11 21
53 11 53 241 482 11 21
54 15 54 251 502 15 29
55 14 55 257 514 14 27
56 15 56 263 526 15 29
57 14 57 269 538 14 27
58 10 58 271 542 10 19
59 11 59 277 554 11 21
60 14 60 281 562 14 27
61 13 61 283 566 13 25
62 13 62 293 586 13 25
63 15 63 307 614 15 29
64 17 64 311 622 17 33
65 12 65 313 626 12 23
66 14 66 317 634 14 27
67 14 67 331 662 14 27
68 15 68 337 674 15 29
69 19 69 347 694 19 37
70 14 70 349 698 14 27
71 19 71 353 706 19 37
72 15 72 359 718 15 29
73 15 73 367 734 15 29
74 18 74 373 746 18 35
75 15 75 379 758 15 29
76 17 76 383 766 17 33
77 15 77 389 778 15 29
78 17 78 397 794 17 33
79 16 79 401 802 16 31
80 17 80 409 818 17 33
81 17 81 419 838 17 33
82 18 82 421 842 18 35
83 17 83 431 862 17 33
84 17 84 433 866 17 33
85 14 85 439 878 14 27
86 18 86 443 886 18 35
87 19 87 449 898 19 37
88 20 88 457 914 20 39
89 20 89 461 922 20 39
90 18 90 463 926 18 35
91 20 91 467 934 20 39
92 22 92 479 958 22 43
93 17 93 487 974 17 33
94 17 94 491 982 17 33
95 17 95 499 998 17 33
96 18 96 503 1006 18 35
97 20 97 509 1018 20 39
98 22 98 521 1042 22 43
99 19 99 523 1046 19 37
100 20 100 541 1082 20 39

yangchuanju · 发表于 2022-8-6 06:22

A116619
2p哥猜数素数号素数p 偶数2p 单哥猜双哥猜
9901 1092 9901 103613 207226 1092 2183
9902 1076 9902 103619 207238 1076 2151
9903 1118 9903 103643 207286 1118 2235
9904 1081 9904 103651 207302 1081 2161
9905 1116 9905 103657 207314 1116 2231
9906 1077 9906 103669 207338 1077 2153
9907 1111 9907 103681 207362 1111 2221
9908 1087 9908 103687 207374 1087 2173
9909 1113 9909 103699 207398 1113 2225
9910 1087 9910 103703 207406 1087 2173
9911 1084 9911 103723 207446 1084 2167
9912 1096 9912 103769 207538 1096 2191
9913 1098 9913 103787 207574 1098 2195
9914 1076 9914 103801 207602 1076 2151
9915 1109 9915 103811 207622 1109 2217
9916 1078 9916 103813 207626 1078 2155
9917 1109 9917 103837 207674 1109 2217
9918 1089 9918 103841 207682 1089 2177
9919 1116 9919 103843 207686 1116 2231
9920 1104 9920 103867 207734 1104 2207
9921 1110 9921 103889 207778 1110 2219
9922 1109 9922 103903 207806 1109 2217
9923 1120 9923 103913 207826 1120 2239
9924 1088 9924 103919 207838 1088 2175
9925 1095 9925 103951 207902 1095 2189
9926 1080 9926 103963 207926 1080 2159
9927 1108 9927 103967 207934 1108 2215
9928 1072 9928 103969 207938 1072 2143
9929 1091 9929 103979 207958 1091 2181
9930 1083 9930 103981 207962 1083 2165
9931 1095 9931 103991 207982 1095 2189
9932 1115 9932 103993 207986 1115 2229
9933 1086 9933 103997 207994 1086 2171
9934 1080 9934 104003 208006 1080 2159
9935 1067 9935 104009 208018 1067 2133
9936 1110 9936 104021 208042 1110 2219
9937 1123 9937 104033 208066 1123 2245
9938 1093 9938 104047 208094 1093 2185
9939 1095 9939 104053 208106 1095 2189
9940 1098 9940 104059 208118 1098 2195
9941 1089 9941 104087 208174 1089 2177
9942 1095 9942 104089 208178 1095 2189
9943 1101 9943 104107 208214 1101 2201
9944 1099 9944 104113 208226 1099 2197
9945 1085 9945 104119 208238 1085 2169
9946 1080 9946 104123 208246 1080 2159
9947 1093 9947 104147 208294 1093 2185
9948 1085 9948 104149 208298 1085 2169
9949 1098 9949 104161 208322 1098 2195
9950 1084 9950 104173 208346 1084 2167
9951 1103 9951 104179 208358 1103 2205
9952 1097 9952 104183 208366 1097 2193
9953 1107 9953 104207 208414 1107 2213
9954 1098 9954 104231 208462 1098 2195
9955 1115 9955 104233 208466 1115 2229
9956 1076 9956 104239 208478 1076 2151
9957 1099 9957 104243 208486 1099 2197
9958 1121 9958 104281 208562 1121 2241
9959 1083 9959 104287 208574 1083 2165
9960 1097 9960 104297 208594 1097 2193
9961 1119 9961 104309 208618 1119 2237
9962 1078 9962 104311 208622 1078 2155
9963 1114 9963 104323 208646 1114 2227
9964 1129 9964 104327 208654 1129 2257
9965 1094 9965 104347 208694 1094 2187
9966 1110 9966 104369 208738 1110 2219
9967 1098 9967 104381 208762 1098 2195
9968 1106 9968 104383 208766 1106 2211
9969 1113 9969 104393 208786 1113 2225
9970 1118 9970 104399 208798 1118 2235
9971 1097 9971 104417 208834 1097 2193
9972 1089 9972 104459 208918 1089 2177
9973 1096 9973 104471 208942 1096 2191
9974 1097 9974 104473 208946 1097 2193
9975 1087 9975 104479 208958 1087 2173
9976 1105 9976 104491 208982 1105 2209
9977 1098 9977 104513 209026 1098 2195
9978 1089 9978 104527 209054 1089 2177
9979 1106 9979 104537 209074 1106 2211
9980 1143 9980 104543 209086 1143 2285
9981 1085 9981 104549 209098 1085 2169
9982 1111 9982 104551 209102 1111 2221
9983 1119 9983 104561 209122 1119 2237
9984 1083 9984 104579 209158 1083 2165
9985 1098 9985 104593 209186 1098 2195
9986 1080 9986 104597 209194 1080 2159
9987 1081 9987 104623 209246 1081 2161
9988 1128 9988 104639 209278 1128 2255
9989 1102 9989 104651 209302 1102 2203
9990 1085 9990 104659 209318 1085 2169
9991 1079 9991 104677 209354 1079 2157
9992 1142 9992 104681 209362 1142 2283
9993 1120 9993 104683 209366 1120 2239
9994 1119 9994 104693 209386 1119 2237
9995 1085 9995 104701 209402 1085 2169
9996 1113 9996 104707 209414 1113 2225
9997 1107 9997 104711 209422 1107 2213
9998 1091 9998 104717 209434 1091 2181
9999 1093 9999 104723 209446 1093 2185
10000 1092 10000 104729 209458 1092 2183

yangchuanju · 发表于 2022-8-6 06:26

A116619提供了10000个2p型偶数的哥猜数，以上两贴仅发1-100和9901-10000个2p型偶数的哥猜数，需要101-9000个2p型偶数的网友请自查A116619！

yangchuanju · 发表于 2022-8-6 06:44

本帖最后由 yangchuanju 于 2022-8-6 06:49 编辑

【转载愚工贴】
Xi(M)=t2*c1*M/(logM)^2  ; 的计算精度：

  G( 10^1 ) = 2                ;Xi(M)≈ 2.12             jdz(M)≈1.06
  G( 10^2 ) = 6                ;Xi(M)≈ 5.15             jdz(M)≈0.85833
  G( 10^3 ) = 28                ;Xi(M)≈ 22.39          jdz(M)≈0.79964
  G( 10^4 ) = 127             ;Xi(M)≈ 123.65          jdz(M)≈0.97362
  G( 10^5 ) = 810             ;Xi(M)≈ 778.34          jdz(M)≈0.96091
  G( 10^6 ) = 5402             ;Xi(M)≈ 5323.31          jdz(M)≈0.98543
  G( 10^7 ) = 38807             ;Xi(M)≈ 38557.1          jdz(M)≈0.99356
  G( 10^8 ) = 291400          ;Xi(M)≈ 291262.27       jdz(M)≈0.99953
  G( 10^9 ) = 2274205          ;Xi(M)≈ 2272089.28       jdz(M)≈0.99907
  G( 10^10 ) = 18200488       ;Xi(M)≈ 18179890.52    jdz(M)≈0.99887
  G( 10^11 ) = 149091160       ;Xi(M)≈ 148486029.78    jdz(M)≈0.99594
  G( 10^12 ) = 1243722370       ;Xi(M)≈ 1233556241.87    jdz(M)≈0.99183
  G( 10^13 ) = 10533150855,    ;Xi(M)≈ 10395227871.57 jdz(M)≈0.98691
  G( 10^14 ) = 90350630388    ;Xi(M)≈ 88673642506.88 jdz(M)≈0.98144
  G( 10^15 ) = 783538341852    ;Xi(M)≈ 764388083252.93 jdz(M)≈0.97556

  G( 200 ) =  8                   ;Xi(M)≈ 7.73          δxi(M)≈-0.03375;
  G( 2000 ) =  37                ;Xi(M)≈ 36.78          δxi(M)≈-0.005946;
  G( 20000 ) = 231                ;Xi(M)≈ 212.8          δxi(M)≈-0.078788;
  G( 200000 ) = 1417             ;Xi(M)≈ 1378.39       δxi(M)≈-0.027241;
  G( 2000000 ) = 9720             ;Xi(M)≈ 9611.44       δxi(M)≈-0.011169;
  G( 20000000 ) = 70730          ;Xi(M)≈ 70594.7       δxi(M)≈-0.001913;
  G( 200000000 ) = 538290       ;Xi(M)≈ 538928.5       δxi(M)≈-0.001186;
  G( 2000000000 ) = 4238417       ;Xi(M)≈ 4238910.11    δxi(M)≈-0.000116;
  G( 20000000000 ) = 34204396    ;Xi(M)≈ 34142796.44    δxi(M)≈-0.001801;
  G( 200000000000 ) = 281856501 ;Xi(M)≈ 280387128.51    δxi(M)≈-0.005213;
  G( 2000000000000 ) = 2362547893  ;Xi(M)≈ 2339960725.71 δxi(M)≈-0.009561;

  G( 300 ) =  21       ;          Xi(M)≈ 20.2          ;jdz=0.9619
  G( 3000 ) =  104       ;          Xi(M)≈ 99.46       ;jdz=0.9564
  G( 30000 ) =  602    ;          Xi(M)≈ 587.9       ;jdz=0.9766
  G( 300000 ) =  3915    ;       Xi(M)≈ 3863.55       ;jdz=0.9869
  G( 3000000 ) = 27502    ;       Xi(M)≈ 27216.98    ;jdz=0.9896
  G( 30000000 ) = 202166    ;       Xi(M)≈ 201417.42    ;jdz=0.9963
  G( 300000000 ) =  1547388 ;    Xi(M)≈ 1546564.56    ;jdz=0.99995
  G( 3000000000 ) = 12224533 ;    Xi(M)≈ 12219977.77 ;jdz=0.99963
  G( 30000000000 ) =  99039834 ;    Xi(M)≈ 98790288.7    ;jdz=0.99748
  G( 300000000000 ) = 818772509 ;    Xi(M)≈ 813751776.9 ;jdz=0.99387
  G( 3000000000000 ) = 6881609867 ; Xi(M)≈ 6808454018.63  ;jdz=0.9894
  G( 30000000000000 ) = 58651540055;  Xi(M)≈ 57722112492.79 ;jdz=0.98415

  G( 400 ) = 14                   ;Xi(M)≈ 12                      δxi(M)≈-0.142857;
  G( 4000 ) = 65                ;Xi(M)≈ 61.43                   δxi(M)≈-0.054923;
  G( 40000 ) = 389                ;Xi(M)≈ 369.88                   δxi(M)≈-0.049152;
  G( 400000 ) = 2487                ;Xi(M)≈ 2457.12                   δxi(M)≈-0.012014;
  G( 4000000 ) = 17638             ;Xi(M)≈ 17434.77                δxi(M)≈-0.011522;
  G( 40000000 ) = 130164             ;Xi(M)≈ 129702.13                δxi(M)≈-0.003549;
  G( 400000000 ) =999700             ;Xi(M)≈ 999873.56                δxi(M)≈ 0.000174;
  G( 4000000000 ) =7930427          ;Xi(M)≈ 7925260.39                δxi(M)≈-0.000652;
  G( 40000000000 ) =64411146          ;Xi(M)≈ 64234176.38             δxi(M)≈-0.002748;
  G( 400000000000 ) = 533673299       ;Xi(M)≈ 530227062.24             δxi(M)≈-0.006458;
  G( 4000000000000 ) =4493879898    ;Xi(M)≈ 4444178047.31             δxi(M)≈-0.011060;

  G( 500 ) = 13                ;Xi(M)≈ 13.92                   δxi(M)≈ 0.07077;
  G( 5000 ) = 76                ;Xi(M)≈ 72.69                   δxi(M)≈-0.043553;
  G( 50000 ) = 450                ;Xi(M)≈ 442.77                δxi(M)≈-0.016067;
  G( 500000 ) =3052                ;Xi(M)≈ 2963.5                δxi(M)≈-0.028997;
  G( 5000000 ) =21290                ;Xi(M)≈ 21138.58             δxi(M)≈-0.007112;
  G( 50000000 ) = 158467             ;Xi(M)≈ 157867.81          δxi(M)≈-0.003781;
  G( 500000000 ) = 1219610          ;Xi(M)≈ 1220646.74          δxi(M)≈ 0.000850;
  G( 5000000000 ) = 9703556          ;Xi(M)≈ 9698149.31          δxi(M)≈-0.000557;
  G( 50000000000 ) = 79004202       ;Xi(M)≈ 78755206.45          δxi(M)≈-0.003152;
  G( 500000000000 ) = 655630055       ;Xi(M)≈ 651132862.99       δxi(M)≈-0.006859;
  G( 5000000000000 ) = 5528644312    ;Xi(M)≈ 5464927127.99       δxi(M)≈-0.011525;

  G( 600 ) = 32                   ;Xi(M)≈ 31.48                   δxi(M)≈  -0.01625;
  G( 6000 ) = 178                ;Xi(M)≈ 166.97                   δxi(M)≈ -0.06197;
  G( 60000 ) = 1084                ;Xi(M)≈ 1026.4                   δxi(M)≈-0.053137;
  G( 600000 ) = 6993                ;Xi(M)≈ 6910.6                   δxi(M)≈-0.011783;
  G( 6000000 ) = 49783             ;Xi(M)≈ 49499.21                δxi(M)≈-0.005705;
  G( 60000000 ) = 371226             ;Xi(M)≈ 370818.25                δxi(M)≈-0.001099;
  G( 600000000 ) = 2874881             ;Xi(M)≈ 2874060.71                δxi(M)≈-0.000285;
  G( 6000000000 ) = 22899781          ;Xi(M)≈ 22878144.49             δxi(M)≈-0.004919;
  G( 60000000000 ) = 186693890       ;Xi(M)≈ 186073260.34             δxi(M)≈-0.003324;
  G( 600000000000 ) = 1551585485       ;Xi(M)≈ 1540398009.6             δxi(M)≈-0.007210;
  G( 6000000000000 ) = 13098988138    ;Xi(M)≈ 12942526631.34          δxi(M)≈-0.011945;

  G( 700 ) =  24                ;Xi(M)≈ 20.98             δxi(M)≈ -0.12583
  G( 7000 ) = 119                ;Xi(M)≈ 112.71             δxi(M)≈-0.52941
  G( 70000 ) =  719                ;Xi(M)≈ 698.01             δxi(M)≈-0.02921
  G( 700000 ) =  4878             ;Xi(M)≈ 4722.53             δxi(M)≈-0.03187
  G( 7000000 ) =  34284             ;Xi(M)≈ 33943.26          δxi(M)≈ -0.009946
  G( 70000000 ) = 255175             ;Xi(M)≈ 254935.83          δxi(M)≈-0.0009374
  G( 700000000 ) = 1979689          ;Xi(M)≈ 1979831.6          δxi(M)≈ 0.000072
  G( 7000000000 ) = 15799407          ;Xi(M)≈ 15784853.81       δxi(M)≈-0.000921
  G( 70000000000 ) = 129009540       ;Xi(M)≈ 128547778.47       δxi(M)≈-0.003579
  G( 700000000000 ) = 1073350237    ;Xi(M)≈ 1065319456.38       δxi(M)≈-0.007482
  G( 7000000000000 ) = 9070480173    ;Xi(M)≈ 8959005515.17       δxi(M)≈

  G( 800 ) = 21                ;Xi(M)≈ 19.17                   δxi(M)≈-0.087143;
  G( 8000 ) = 106                ;Xi(M)≈ 104.07                   δxi(M)≈-0.018208;
  G( 80000 ) = 652                ;Xi(M)≈ 648.53                   δxi(M)≈-0.005322;
  G( 800000 ) = 4433                ;Xi(M)≈ 4405.92                   δxi(M)≈-0.006113;
  G( 8000000 ) =31753                ;Xi(M)≈ 31760.41                δxi(M)≈ 0.000233;
  G( 80000000 ) =239209             ;Xi(M)≈ 239063.18                δxi(M)≈-0.000610;
  G( 800000000 ) = 1859646             ;Xi(M)≈ 1859713.97                δxi(M)≈ 0.0000365;
  G( 8000000000 ) = 14862150          ;Xi(M)≈ 14847253.41             δxi(M)≈-0.001002;
  G( 80000000000 ) = 121504043       ;Xi(M)≈ 121045896.57             δxi(M)≈-0.003771;
  G( 800000000000 ) = 1011911933       ;Xi(M)≈ 1004071908.7             δxi(M)≈-0.007748;
  G( 8000000000000 ) = 8558144934    ;Xi(M)≈ 8450501739.32             δxi(M)≈-0.012578;

  G( 900 ) = 48                   ;Xi(M)≈ 41.6                      δxi(M)≈-0.133333;
  G( 9000 ) = 242                ;Xi(M)≈ 227.94                   δxi(M)≈-0.058099;
  G( 90000 ) = 1471             ;Xi(M)≈ 1428.05                   δxi(M)≈-0.029198;
  G( 900000 ) = 9853             ;Xi(M)≈ 9736.36                   δxi(M)≈-0.011838;
  G( 9000000 ) =70619             ;Xi(M)≈ 70363.59                δxi(M)≈-0.003617;
  G( 90000000 ) =531538             ;Xi(M)≈ 530639.45                δxi(M)≈-0.001690;
  G( 900000000 ) =4132595             ;Xi(M)≈ 4134032.32                δxi(M)≈ 0.0003477;
  G( 9000000000 ) = 33076258          ;Xi(M)≈ 33043510.31             δxi(M)≈-0.000990;
  G( 90000000000 ) = 270719498       ;Xi(M)≈ 269655377.56             δxi(M)≈-0.003931;
  G( 900000000000 ) = 2256592982    ;Xi(M)≈ 2238581637.62             δxi(M)≈-0.007982;
  G( 9000000000000 ) = 19098578267    ;Xi(M)≈ 18853233583.44          δxi(M)≈-0.012846;

转引自愚工688《基于偶数哥猜哈-李素对计算公式改进的偶数素对计算式 Xi(M)≈ t1*c1*M/(logM)^2》304-305楼贴。

yangchuanju · 发表于 2022-8-6 09:26

本帖最后由 yangchuanju 于 2022-8-6 18:01 编辑

偶数n 单计哥猜数 n/[ln(n)*ln(n-2)] ∏(p-1)/(p-2) C*n/[ln(n)*ln(n-2)]*∏(p-1)/(p-2) 计算1/哥数
100 6 4.736069382 1.3333 4.177959338 0.6963
200 8 7.138034624 1.3333 6.296871097 0.7871
300 21 9.232194686 2.6667 16.28850039 0.7756
400 14 11.1521215 1.3333 9.837928123 0.7027
500 13 12.95456079 1.3333 11.42796354 0.8791
600 32 14.67015969 2.6667 25.8827841 0.8088
700 24 16.31781152 1.6000 17.27385665 0.7197
800 21 17.91019321 1.3333 15.79961207 0.7524
900 48 19.45632909 2.6667 34.32709499 0.7151
1000 28 20.96293069 1.3333 18.49260747 0.6605
2000 37 34.62237424 1.3333 30.54238865 0.8255
3000 104 46.80436762 2.6667 82.57765204 0.7940
4000 65 58.15042848 1.3333 51.29783921 0.7892
5000 76 68.92827477 1.3333 60.80559763 0.8001
6000 178 79.28259135 2.6667 139.8794722 0.7858
7000 119 89.30295804 1.6000 94.53513383 0.7944
8000 106 99.04979107 1.3333 87.37752049 0.8243
9000 242 108.5663237 2.6667 191.5452031 0.7915
10000 127 117.8848707 1.3333 103.9930281 0.8188
20000 231 203.9191729 1.3333 179.8888369 0.7787
30000 602 282.2896613 2.6667 498.047909 0.8273
40000 389 356.226408 1.3333 314.2478134 0.8078
50000 450 427.1052276 1.3333 376.7740989 0.8373
60000 1084 495.6800076 2.6667 874.5357168 0.8068
70000 719 562.4224347 1.6000 595.3742329 0.8281
80000 652 627.6533387 1.3333 553.6891282 0.8492
90000 1471 691.6039344 2.6667 1220.207257 0.8295
100000 810 754.4480987 1.3333 665.5420823 0.8217
200000 1417 1342.389204 1.3333 1184.198764 0.8357
300000 3915 1886.189816 2.6667 3327.833153 0.8500
400000 2487 2403.993404 1.3333 2120.700918 0.8527
500000 3052 2903.661706 1.3333 2561.487081 0.8393
600000 6993 3389.550979 2.6667 5980.235938 0.8552
700000 4878 3864.409622 1.6000 4090.821725 0.8386
800000 4433 4330.119502 1.3333 3819.847588 0.8617
900000 9853 4788.04435 2.6667 8447.618895 0.8574
1000000 5402 5239.214564 1.3333 4621.812656 0.8556
2000000 9720 9501.136425 1.3333 8381.49918 0.8623
3000000 27502 13487.3256 2.6667 23795.89207 0.8652
4000000 17638 17308.90903 1.3333 15269.18469 0.8657
5000000 21290 21014.66987 1.3333 18538.24957 0.8707
6000000 49783 24631.86927 2.6667 43458.37863 0.8730
7000000 34284 28177.81575 1.6000 29828.7273 0.8700
8000000 31753 31664.42069 1.3333 27933.00761 0.8797
9000000 70619 35100.35228 2.6667 61928.08117 0.8769
10000000 38807 38492.18354 1.3333 33956.17012 0.8750
20000000 70730 70766.92999 1.3333 62427.5812 0.8826
30000000 202166 101209.4423 2.6667 178565.3463 0.8833
40000000 130164 130546.7397 1.3333 115162.7914 0.8848
50000000 158467 159101.1698 1.3333 140352.2973 0.8857
60000000 371226 187054.0457 2.6667 330022.2754 0.8890
70000000 255175 214521.0493 1.6000 227089.6346 0.8899
80000000 239209 241582.1023 1.3333 213113.4742 0.8909
90000000 531538 268295.5548 2.6667 473357.8958 0.8905
100000000 291400 294705.7769 1.3333 259976.9245 0.8922
200000000 538290 547437.6367 1.3333 482926.2414 0.8971
300000000 1547388 787395.7874 2.6667 1389214.269 0.8978
400000000 999700 1019585.569 1.3333 899435.1022 0.8997
500000000 1219610 1246243.656 1.3333 1099383.243 0.9014
600000000 2874881 1468634.594 2.6667 2591134.174 0.9013
700000000 1979689 1687568.307 1.6000 1786441.337 0.9024
800000000 1859646 1903606.082 1.3333 1679280.467 0.9030
900000000 4132595 2117158.768 2.6667 3735335.161 0.9039
1000000000 2274205 2328539.47 1.3333 2054138.661 0.9032
2000000000 4238417 4360502.385 1.3333 3846650.077 0.9076
3000000000 12224533 6299948.553 2.6667 11115094.29 0.9092
4000000000 7930427 8182759.442 1.3333 7218482.978 0.9102
5000000000 9703556 10025069.56 1.3333 8843690.744 0.9114
6000000000 22899781 11836038.56 2.6667 20882501.44 0.9119
7000000000 15799407 13621551.35 1.6000 14419625.15 0.9127
8000000000 14862150 15385696.41 1.3333 13572608.17 0.9132
9000000000 33076258 17131472.68 2.6667 30225315.75 0.9138
10000000000 18200488 18861169.7 1.3333 16638523.15 0.9142
20000000000 34204396 35549812.52 1.3333 31360535.32 0.9169
30000000000 99039834 51547301.75 2.6667 90945682.29 0.9183
40000000000 64411146 67119405.21 1.3333 59209889.7 0.9192
50000000000 79004202 82386240.83 1.3333 72677643.92 0.9199
60000000000 186693890 97416231.58 2.6667 171872927.3 0.9206
70000000000 129009540 112253450.1 1.6000 118830273.5 0.9211
80000000000 121504043 126928578.6 1.3333 111971003.2 0.9215
90000000000 270719498 141464161.4 2.6667 249587354.6 0.9219
100000000000 149091160 155877435.5 1.3333 137508455.8 0.9223
200000000000 281856501 295367402 1.3333 260560582.1 0.9244
300000000000 818772509 429560102.6 2.6667 757879370.7 0.9256
400000000000 533673299 560477780.8 1.3333 494429702.9 0.9265
500000000000 655630055 689038314.8 1.3333 607840347.9 0.9271
600000000000 1551585485 815766034.4 2.6667 1439268324 0.9276
700000000000 1073350237 940999393 1.6000 996131656.9 0.9281
800000000000 1011911933 1064974419 1.3333 939475218.2 0.9284
900000000000 2256592982 1187864787 2.6667 2095767767 0.9287
1000000000000 1243722370 1309803451 1.3333 1155452997 0.9290
2000000000000 2362547893 2492962026 1.3333 2199185260 0.9309
3000000000000 6881609867 3634637357 2.6667 6412645534 0.9319
4000000000000 4493879898 4750567885 1.3333 4190749301 0.9325
5000000000000 5528644312 5847922820 1.3333 5158789236 0.9331
6000000000000 13098988138 6930807300 2.6667 12228127900 0.9335
7000000000000 9070480173 8001875978 1.6000 8470698318 0.9339
8000000000000 8558144934 9062982834 1.3333 7994978684 0.9342
9000000000000 19098578267 10115493749 2.6667 17846918257 0.9345
10000000000000 10533150855 11160455444 1.3333 9845279972 0.9347
100000000000000 90350630388 96230457659 1.3333 84890424247 0.9396
1000000000000000 783538341852 8.38274E+11 1.3333 7.3949E+11 0.9438

yangchuanju · 发表于 2022-8-6 09:27

本帖最后由 yangchuanju 于 2022-8-6 18:03 编辑

偶数n 单计哥猜数 n/ln(n)^2 ∏(p-1)/(p-2) C*n/ln(n)^2*∏(p-1)/(p-2) 计算2/哥数
100 6 4.715292425 1.3333 4.15047468 0.6917
200 8 7.124494543 1.3333 6.271092339 0.7839
300 21 9.221367828 2.6667 16.23358648 0.7730
400 14 11.14279149 1.3333 9.808060614 0.7006
500 13 12.94620593 1.3333 11.39545442 0.8766
600 32 14.66250254 2.6667 25.81233148 0.8066
700 24 16.31068459 1.6000 17.22830586 0.7178
800 21 17.90348653 1.3333 15.75893091 0.7504
900 48 19.44996598 2.6667 34.24033295 0.7133
1000 28 20.95685522 1.3333 18.44655413 0.6588
2000 37 34.61781693 1.3333 30.47114785 0.8235
3000 104 46.80046906 2.6667 82.38902037 0.7922
4000 65 58.14692205 1.3333 51.18183686 0.7874
5000 76 68.92503699 1.3333 60.66890343 0.7983
6000 178 79.27955303 2.6667 139.5662232 0.7841
7000 119 89.30007575 1.6000 94.32400026 0.7926
8000 106 99.04703542 1.3333 87.18276101 0.8225
9000 242 108.5636736 2.6667 191.1189118 0.7897
10000 127 117.8823106 1.3333 103.761867 0.8170
20000 231 203.9171138 1.3333 179.4910561 0.7770
30000 602 282.2878357 2.6667 496.9484006 0.8255
40000 389 356.2247271 1.3333 313.554617 0.8061
50000 450 427.1036486 1.3333 375.9433603 0.8354
60000 1084 495.6785058 2.6667 872.6080599 0.8050
70000 719 562.4209943 1.6000 594.0621838 0.8262
80000 652 627.6519488 1.3333 552.4691337 0.8473
90000 1471 691.6025871 2.6667 1217.518986 0.8277
100000 810 754.446788 1.3333 664.0759487 0.8198
200000 1417 1342.388104 1.3333 1181.591158 0.8339
300000 3915 1886.188819 2.6667 3320.506229 0.8481
400000 2487 2403.992472 1.3333 2116.032047 0.8508
500000 3052 2903.660821 1.3333 2555.848 0.8374
600000 6993 3389.55013 2.6667 5967.070849 0.8533
700000 4878 3864.408802 1.6000 4081.816211 0.8368
800000 4433 4330.118706 1.3333 3811.438703 0.8598
900000 9853 4788.043574 2.6667 8429.022773 0.8555
1000000 5402 5239.213806 1.3333 4611.638533 0.8537
2000000 9720 9501.13577 1.3333 8363.04939 0.8604
3000000 27502 13487.325 2.6667 23743.5119 0.8633
4000000 17638 17308.90847 1.3333 15235.57392 0.8638
5000000 21290 21014.66933 1.3333 18497.44301 0.8688
6000000 49783 24631.86875 2.6667 43362.71787 0.8710
7000000 34284 28177.81523 1.6000 29763.06828 0.8681
8000000 31753 31664.42019 1.3333 27871.52151 0.8778
9000000 70619 35100.3518 2.6667 61791.76528 0.8750
10000000 38807 38492.18306 1.3333 33881.42596 0.8731
20000000 70730 70766.92957 1.3333 62290.1663 0.8807
30000000 202166 101209.4419 2.6667 178172.2906 0.8813
40000000 130164 130546.7393 1.3333 114909.2967 0.8828
50000000 158467 159101.1694 1.3333 140043.3559 0.8837
60000000 371226 187054.0454 2.6667 329295.8353 0.8870
70000000 255175 214521.049 1.6000 226589.7684 0.8880
80000000 239209 241582.1019 1.3333 212644.3721 0.8889
90000000 531538 268295.5545 2.6667 472315.9479 0.8886
100000000 291400 294705.7766 1.3333 259404.6675 0.8902
200000000 538290 547437.6364 1.3333 481863.2322 0.8952
300000000 1547388 787395.7871 2.6667 1386156.354 0.8958
400000000 999700 1019585.569 1.3333 897455.2807 0.8977
500000000 1219610 1246243.655 1.3333 1096963.299 0.8994
600000000 2874881 1468634.594 2.6667 2585430.614 0.8993
700000000 1979689 1687568.307 1.6000 1782509.052 0.9004
800000000 1859646 1903606.082 1.3333 1675584.063 0.9010
900000000 4132595 2117158.768 2.6667 3727113.005 0.9019
1000000000 2274205 2328539.469 1.3333 2049617.126 0.9012
2000000000 4238417 4360502.385 1.3333 3838182.896 0.9056
3000000000 12224533 6299948.552 2.6667 11090627.94 0.9072
4000000000 7930427 8182759.442 1.3333 7202593.776 0.9082
5000000000 9703556 10025069.56 1.3333 8824224.163 0.9094
6000000000 22899781 11836038.56 2.6667 20836535.23 0.9099
7000000000 15799407 13621551.35 1.6000 14387884.92 0.9107
8000000000 14862150 15385696.41 1.3333 13542732.38 0.9112
9000000000 33076258 17131472.68 2.6667 30158784.3 0.9118
10000000000 18200488 18861169.7 1.3333 16601898.72 0.9122
20000000000 34204396 35549812.52 1.3333 31291505.04 0.9148
30000000000 99039834 51547301.75 2.6667 90745494.2 0.9163
40000000000 64411146 67119405.21 1.3333 59079557.9 0.9172
50000000000 79004202 82386240.83 1.3333 72517667.13 0.9179
60000000000 186693890 97416231.58 2.6667 171494603.5 0.9186
70000000000 129009540 112253450.1 1.6000 118568706.3 0.9191
80000000000 121504043 126928578.6 1.3333 111724534.6 0.9195
90000000000 270719498 141464161.4 2.6667 249037967.1 0.9199
100000000000 149091160 155877435.5 1.3333 137205774.5 0.9203
200000000000 281856501 295367402 1.3333 259987040.6 0.9224
300000000000 818772509 429560102.6 2.6667 756211139.6 0.9236
400000000000 533673299 560477780.8 1.3333 493341372.7 0.9244
500000000000 655630055 689038314.8 1.3333 606502380.1 0.9251
600000000000 1551585485 815766034.4 2.6667 1436100231 0.9256
700000000000 1073350237 940999393 1.6000 993938988.8 0.9260
800000000000 1011911933 1064974419 1.3333 937407261.4 0.9264
900000000000 2256592982 1187864787 2.6667 2091154599 0.9267
1000000000000 1243722370 1309803451 1.3333 1152909633 0.9270
2000000000000 2362547893 2492962026 1.3333 2194344451 0.9288
3000000000000 6881609867 3634637357 2.6667 6398530127 0.9298
4000000000000 4493879898 4750567885 1.3333 4181524695 0.9305
5000000000000 5528644312 5847922820 1.3333 5147433797 0.9310
6000000000000 13098988138 6930807300 2.6667 12201211553 0.9315
7000000000000 9070480173 8001875978 1.6000 8452052761 0.9318
8000000000000 8558144934 9062982834 1.3333 7977380273 0.9321
9000000000000 19098578267 10115493749 2.6667 17807633925 0.9324
10000000000000 10533150855 11160455444 1.3333 9823608709 0.9326
100000000000000 90350630388 96230457659 1.3333 84703564891 0.9375
1000000000000000 783538341852 8.38274E+11 1.3333 7.37862E+11 0.9417

yangchuanju · 发表于 2022-8-6 09:41

偶数单计哥猜数比2/比1
100 6 0.9934
200 8 0.9959
300 21 0.9966
400 14 0.9970
500 13 0.9972
600 32 0.9973
700 24 0.9974
800 21 0.9974
900 48 0.9975
1000 28 0.9975
2000 37 0.9977
3000 104 0.9977
4000 65 0.9977
5000 76 0.9978
6000 178 0.9978
7000 119 0.9978
8000 106 0.9978
9000 242 0.9978
10000 127 0.9978
20000 231 0.9978
30000 602 0.9978
40000 389 0.9978
50000 450 0.9978
60000 1084 0.9978
70000 719 0.9978
80000 652 0.9978
90000 1471 0.9978
100000 810 0.9978
200000 1417 0.9978
300000 3915 0.9978
400000 2487 0.9978
500000 3052 0.9978
600000 6993 0.9978
700000 4878 0.9978
800000 4433 0.9978
900000 9853 0.9978
1000000 5402 0.9978
2000000 9720 0.9978
3000000 27502 0.9978
4000000 17638 0.9978
5000000 21290 0.9978
6000000 49783 0.9978
7000000 34284 0.9978
8000000 31753 0.9978
9000000 70619 0.9978
10000000 38807 0.9978
20000000 70730 0.9978
30000000 202166 0.9978
40000000 130164 0.9978
50000000 158467 0.9978
60000000 371226 0.9978
70000000 255175 0.9978
80000000 239209 0.9978
90000000 531538 0.9978
100000000 291400 0.9978
200000000 538290 0.9978
300000000 1547388 0.9978
400000000 999700 0.9978
500000000 1219610 0.9978
600000000 2874881 0.9978
700000000 1979689 0.9978
800000000 1859646 0.9978
900000000 4132595 0.9978
1000000000 2274205 0.9978
2000000000 4238417 0.9978
3000000000 12224533 0.9978
4000000000 7930427 0.9978
5000000000 9703556 0.9978
6000000000 22899781 0.9978
7000000000 15799407 0.9978
8000000000 14862150 0.9978
9000000000 33076258 0.9978
10000000000 18200488 0.9978
20000000000 34204396 0.9978
30000000000 99039834 0.9978
40000000000 64411146 0.9978
50000000000 79004202 0.9978
60000000000 186693890 0.9978
70000000000 129009540 0.9978
80000000000 121504043 0.9978
90000000000 270719498 0.9978
100000000000 149091160 0.9978
200000000000 281856501 0.9978
300000000000 818772509 0.9978
400000000000 533673299 0.9978
500000000000 655630055 0.9978
600000000000 1551585485 0.9978
700000000000 1073350237 0.9978
800000000000 1011911933 0.9978
900000000000 2256592982 0.9978
1000000000000 1243722370 0.9978
2000000000000 2362547893 0.9978
3000000000000 6881609867 0.9978
4000000000000 4493879898 0.9978
5000000000000 5528644312 0.9978
6000000000000 13098988138 0.9978
7000000000000 9070480173 0.9978
8000000000000 8558144934 0.9978
9000000000000 19098578267 0.9978
10000000000000 10533150855 0.9978
100000000000000 90350630388 0.9978
1000000000000000 783538341852 0.9978
哈-李计算式C*n/[ln(n)*ln(n-2)]*∏(p-1)/(p-2)与简化计算式C*n/ln(n)^2*∏(p-1)/(p-2)相差甚微，简化计算值2与真值比（比2）与哈-李计算值与真值比（比1）在0.9934-0.9978，故实际按简化计算式计算即可！

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