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标题: 按哈李对数式、素数连乘积及杨奚鲁吴修正式计算的哥猜数和精度对比 [打印本页]

作者: yangchuanju 时间: 2026-9-12 18:27
标题: 按哈李对数式、素数连乘积及杨奚鲁吴修正式计算的哥猜数和精度对比
按哈李对数式、素数连乘积及杨奚鲁吴修正式计算的哥猜数和精度对比
前80个10位偶数的真实哥猜数由时空伴随者提供，后9个9,10,11位偶数的真实哥猜数由愚公688（奚）提供
表1——偶数及分解式和波动因子
序号偶数哥猜数分解式波动因子
1 4784488900 9327768 [2, 2, 5, 5, 6917, 6917] 1.333333
2 4784488902 13983768 [2, 3, 3, 265804939] 2.000000
3 4784488904 7934960 [2, 2, 2, 13, 29, 373, 4253] 1.134629
4 4784488906 6996206 [2, 1931, 1238863] 1.000518
5 4784488908 14942506 [2, 2, 3, 17, 673, 34849] 2.136574
6 4784488910 9333548 [2, 5, 733, 652727] 1.335157
7 4784488912 9038264 [2, 2, 2, 2, 7, 31, 43, 73, 439] 1.292518
8 4784488914 14886261 [2, 3, 19, 193, 217457] 2.128734
9 4784488916 7068771 [2, 2, 97, 12331157] 1.010526
10 4784488918 7773371 [2, 11, 3889, 55921] 1.111417
11 4784488920 18661571 [2, 2, 2, 3, 3, 5, 1669, 7963] 2.668602
12 4784488922 6993701 [2, 2392244461] 1.000000
13 4784488924 7009451 [2, 2, 433, 2762407] 1.002320
14 4784488926 16791125 [2, 3, 7, 2129, 53507] 2.401173
15 4784488928 7234636 [2, 2, 2, 2, 2, 53, 71, 39733] 1.034411
16 4784488930 10262580 [2, 5, 13, 113, 325697] 1.467649
17 4784488932 14378943 [2, 2, 3, 41, 419, 23209] 2.056290
18 4784488934 7336817 [2, 23, 659, 157831] 1.049214
19 4784488936 7052669 [2, 2, 2, 149, 1433, 2801] 1.007866
20 4784488938 13985241 [2, 3, 3, 3, 88601647] 2.000000
21 4784488940 12455228 [2, 2, 5, 7, 11, 571, 5441] 1.781230
22 4784488942 7514581 [2, 17, 199, 829, 853] 1.074639
23 4784488944 14385955 [2, 2, 2, 2, 3, 37, 2693969] 2.057143
24 4784488946 7059300 [2, 109, 21947197] 1.009346
25 4784488948 6990820 [2, 2, 1196122237] 1.000000
26 4784488950 18830012 [2, 3, 5, 5, 107, 298099] 2.692063
27 4784488952 7403623 [2, 2, 2, 19, 19, 1656679] 1.058824
28 4784488954 8393394 [2, 7, 341749211] 1.200000
29 4784488956 15256790 [2, 2, 3, 3, 13, 10223267] 2.181818
30 4784488958 6995175 [2, 2392244479] 1.000000
31 4784488960 9338990 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 1163, 1607] 1.335313
32 4784488962 16196635 [2, 3, 11, 29, 197, 12689] 2.316527
33 4784488964 7041226 [2, 2, 157, 7618613] 1.006452
34 4784488966 6992035 [2, 2392244483] 1.000000
35 4784488968 16783998 [2, 2, 2, 3, 7, 7, 4068443] 2.400000
36 4784488970 9328539 [2, 5, 2063, 231919] 1.333980
37 4784488972 6994430 [2, 2, 5003, 239081] 1.000200
38 4784488974 14471293 [2, 3, 3, 31, 8574353] 2.068966
39 4784488976 7514823 [2, 2, 2, 2, 17, 139, 126547] 1.074453
40 4784488978 7064242 [2, 101, 23685589] 1.010101
41 4784488980 19560971 [2, 2, 3, 5, 23, 1481, 2341] 2.796735
42 4784488982 9160991 [2, 7, 13, 2477, 10613] 1.309743
43 4784488984 7783864 [2, 2, 2, 11, 677, 80309] 1.112757
44 4784488986 14296753 [2, 3, 47, 16966273] 2.044444
45 4784488988 7035357 [2, 2, 227, 881, 5981] 1.005755
46 4784488990 9879727 [2, 5, 19, 2437, 10333] 1.412481
47 4784488992 13989554 [2, 2, 2, 2, 2, 3, 3, 3, 5537603] 2.000000
48 4784488994 7008250 [2, 401, 5965697] 1.002506
49 4784488996 8394240 [2, 2, 7, 170874607] 1.200000
50 4784488998 14327005 [2, 3, 43, 18544531] 2.048780
51 4784489000 9333158 [2, 2, 2, 5, 5, 5, 1049, 4561] 1.334900
52 4784489002 7016531 [2, 293, 8164657] 1.003436
53 4784489004 13989453 [2, 2, 3, 398707417] 2.000000
54 4784489006 8039542 [2, 11, 59, 61, 60427] 1.149786
55 4784489008 7730328 [2, 2, 2, 2, 13, 79, 291169] 1.105077
56 4784489010 23871687 [2, 3, 3, 5, 7, 17, 446731] 3.413333
57 4784489012 6992840 [2, 2, 1196122253] 1.000000
58 4784489014 7171092 [2, 41, 58347427] 1.025641
59 4784489016 13989241 [2, 2, 2, 3, 9323, 21383] 2.000313
60 4784489018 7282309 [2, 37, 83, 778979] 1.041270
61 4784489020 9672342 [2, 2, 5, 29, 8249119] 1.382716
62 4784489022 14040955 [2, 3, 421, 1039, 1823] 2.007808
63 4784489024 8389893 [2, 2, 2, 2, 2, 2, 7, 10679663] 1.200000
64 4784489026 7326078 [2, 23, 8363, 12437] 1.047829
65 4784489028 16713043 [2, 2, 3, 3, 11, 19, 67, 9491] 2.389392
66 4784489030 9323852 [2, 5, 478448903] 1.333333
67 4784489032 6996983 [2, 2, 2, 2039, 293311] 1.000491
68 4784489034 15705728 [2, 3, 13, 13, 53, 127, 701] 2.245604
69 4784489036 7238561 [2, 2, 31, 5051, 7639] 1.034823
70 4784489038 8456886 [2, 7, 173, 509, 3881] 1.209710
71 4784489040 18649135 [2, 2, 2, 2, 3, 5, 19935371] 2.666667
72 4784489042 6996106 [2, 3733, 640837] 1.000268
73 4784489044 7458485 [2, 2, 17, 70360133] 1.066667
74 4784489046 13985893 [2, 3, 3, 3, 3, 29533883] 2.000000
75 4784489048 6991301 [2, 2, 2, 598061131] 1.000000
76 4784489050 10461258 [2, 5, 5, 11, 103, 84457] 1.496150
77 4784489052 16781933 [2, 2, 3, 7, 56958203] 2.400000
78 4784489054 6996660 [2, 39409, 60703] 1.000042
79 4784489056 7083272 [2, 2, 2, 2, 2, 89, 983, 1709] 1.013118
80 4784489058 14279742 [2, 3, 73, 151, 72341] 2.028169
81 201903020 604035 2*2*5*11*11*83431 1.481481
82 201903022 408011 2*2347*43013 1.000426
83 201903024 836012 2*2*2*2*3*41*102593 2.051282
84 2019030200 4751339 2*2*2*5*5*11*11*83431 1.481481
85 2019030202 3852860 2*7*7*887*23227 1.201408
86 2019030204 6503179 2*2*3*73*73*31573 2.028233
87 20190302000 38339933 2*2*2*2*5*5*5*11*11*83431 1.481499
88 20190302002 28298428 2*13*421*1844537 1.093513
89 20190302004 52371620 2*2*3*167*173*58237 2.023923
— 前80偶最小 6990820 ———————— 1.000000
— 前80偶最大 23871687 ———————— 3.413333
— 后9偶最小 408011 ———————— 1.000426
— 后9偶最大 52371620 ———————— 2.051282

作者: yangchuanju 时间: 2026-9-12 18:29
表2——哈李对数计算式
序号偶数哥猜数哈李对数式哈李/哥数
1 4784488900 9327768 8477296.1 0.908824
2 4784488902 13983768 12715944.2 0.909336
3 4784488904 7934960 7213941.7 0.909134
4 4784488906 6996206 6361268.1 0.909245
5 4784488908 14942506 13584277.7 0.909103
6 4784488910 9333548 8488893.0 0.909503
7 4784488912 9038264 8217796.4 0.909223
8 4784488914 14886261 13534432.7 0.909190
9 4784488916 7068771 6424898.1 0.908913
10 4784488918 7773371 7066357.3 0.909047
11 4784488920 18661571 16966894.0 0.909189
12 4784488922 6993701 6357972.1 0.909100
13 4784488924 7009451 6372723.8 0.909162
14 4784488926 16791125 15266592.4 0.909206
15 4784488928 7234636 6576755.0 0.909065
16 4784488930 10262580 9331274.4 0.909252
17 4784488932 14378943 13073833.2 0.909235
18 4784488934 7336817 6670870.8 0.909232
19 4784488936 7052669 6407985.5 0.908590
20 4784488938 13985241 12715944.3 0.909240
21 4784488940 12455228 11325008.1 0.909257
22 4784488942 7514581 6832524.1 0.909236
23 4784488944 14385955 13079257.0 0.909168
24 4784488946 7059300 6417392.4 0.909069
25 4784488948 6990820 6357972.1 0.909474
26 4784488950 18830012 17116064.7 0.908978
27 4784488952 7403623 6731970.5 0.909281
28 4784488954 8393394 7629566.6 0.908997
29 4784488956 15256790 13871939.2 0.909231
30 4784488958 6995175 6357972.2 0.908908
31 4784488960 9338990 8489884.3 0.909079
32 4784488962 16196635 14728416.8 0.909350
33 4784488964 7041226 6398991.3 0.908789
34 4784488966 6992035 6357972.2 0.909316
35 4784488968 16783998 15259133.2 0.909148
36 4784488970 9328539 8481409.4 0.909189
37 4784488972 6994430 6359243.5 0.909187
38 4784488974 14471293 13154425.2 0.909001
39 4784488976 7514823 6831339.4 0.909049
40 4784488978 7064242 6422194.1 0.909113
41 4784488980 19560971 17781562.4 0.909033
42 4784488982 9160991 8327311.2 0.908997
43 4784488984 7783864 7074879.3 0.908916
44 4784488986 14296753 12998520.9 0.909194
45 4784488988 7035357 6394564.5 0.908918
46 4784488990 9879727 8980516.2 0.908984
47 4784488992 13989554 12715944.4 0.908960
48 4784488994 7008250 6373907.0 0.909486
49 4784488996 8394240 7629566.6 0.908905
50 4784488998 14327005 13026089.4 0.909198
51 4784489000 9333158 8487254.3 0.909366
52 4784489002 7016531 6379820.9 0.909256
53 4784489004 13989453 12715944.4 0.908967
54 4784489006 8039542 7310308.1 0.909294
55 4784489008 7730328 7026047.2 0.908894
56 4784489010 23871687 21701878.5 0.909105
57 4784489012 6992840 6357972.2 0.909212
58 4784489014 7171092 6520997.1 0.909345
59 4784489016 13989241 12717932.6 0.909122
60 4784489018 7282309 6620364.7 0.909102
61 4784489020 9672342 8791270.2 0.908908
62 4784489022 14040955 12765590.6 0.909168
63 4784489024 8389893 7629566.7 0.909376
64 4784489026 7326078 6662065.2 0.909363
65 4784489028 16713043 15191688.3 0.908972
66 4784489030 9323852 8477296.3 0.909205
67 4784489032 6996983 6361093.5 0.909119
68 4784489034 15705728 14277486.2 0.909062
69 4784489036 7238561 6579376.7 0.908934
70 4784489038 8456886 7691302.8 0.909472
71 4784489040 18649135 16954592.7 0.909136
72 4784489042 6996106 6359676.3 0.909031
73 4784489044 7458485 6781837.1 0.909278
74 4784489046 13985893 12715944.5 0.909198
75 4784489048 6991301 6357972.3 0.909412
76 4784489050 10461258 9512477.8 0.909305
77 4784489052 16781933 15259133.4 0.909260
78 4784489054 6996660 6358238.4 0.908753
79 4784489056 7083272 6441379.3 0.909379
80 4784489058 14279742 12895042.4 0.903030
81 201903020 604035 539962.8 0.893926
82 201903022 408011 364630.3 0.893678
83 201903024 836012 747640.8 0.894294
84 2019030200 4751339 4301421.3 0.905307
85 2019030202 3852860 3488238.3 0.905363
86 2019030204 6503179 5888892.9 0.905541
87 20190302000 38339933 35071572.7 0.914753
88 20190302002 28298428 25886756.4 0.914777
89 20190302004 52371620 47912379.8 0.914854
— 前80偶最小 6990820 6357972.1 0.903030
— 前80偶最大 23871687 21701878.5 0.909503
— 后9偶最小 408011 364630.3 0.893678
— 后9偶最大 52371620 47912379.8 0.914854

作者: yangchuanju 时间: 2026-9-12 18:30
表3——素数连乘积计算式
序号偶数哥猜数根内最大素数素数连乘积连乘积计算式连乘积/哥数
1 4784488900 9327768 69163 0.006699 10683978.1 1.145395
2 4784488902 13983768 69163 0.006699 16025967.1 1.146041
3 4784488904 7934960 69163 0.006699 9091766.2 1.145786
4 4784488906 6996206 69163 0.006699 8017137.5 1.145926
5 4784488908 14942506 69163 0.006699 17120332.2 1.145747
6 4784488910 9333548 69163 0.006699 10698593.7 1.146252
7 4784488912 9038264 69163 0.006699 10356929.3 1.145898
8 4784488914 14886261 69163 0.006699 17057512.3 1.145856
9 4784488916 7068771 69163 0.006699 8097330.8 1.145508
10 4784488918 7773371 69163 0.006699 8905764.9 1.145676
11 4784488920 18661571 69163 0.006699 21383460.1 1.145855
12 4784488922 6993701 69163 0.006699 8012983.6 1.145743
13 4784488924 7009451 69163 0.006699 8031575.2 1.145821
14 4784488926 16791125 69163 0.006699 19240561.7 1.145877
15 4784488928 7234636 69163 0.006699 8288716.8 1.145699
16 4784488930 10262580 69163 0.006699 11760251.1 1.145935
17 4784488932 14378943 69163 0.006699 16477016.4 1.145913
18 4784488934 7336817 69163 0.006699 8407331.4 1.145910
19 4784488936 7052669 69163 0.006699 8076015.7 1.145101
20 4784488938 13985241 69163 0.006699 16025967.2 1.145920
21 4784488940 12455228 69163 0.006699 14272963.6 1.145942
22 4784488942 7514581 69163 0.006699 8611063.8 1.145914
23 4784488944 14385955 69163 0.006699 16483852.0 1.145830
24 4784488946 7059300 69163 0.006699 8087871.3 1.145704
25 4784488948 6990820 69163 0.006699 8012983.6 1.146215
26 4784488950 18830012 69163 0.006699 21571460.7 1.145589
27 4784488952 7403623 69163 0.006699 8484335.6 1.145971
28 4784488954 8393394 69163 0.006699 9615580.4 1.145613
29 4784488956 15256790 69163 0.006699 17482873.4 1.145908
30 4784488958 6995175 69163 0.006699 8012983.7 1.145502
31 4784488960 9338990 69163 0.006699 10699843.0 1.145717
32 4784488962 16196635 69163 0.006699 18562296.3 1.146059
33 4784488964 7041226 69163 0.006699 8064680.3 1.145352
34 4784488966 6992035 69163 0.006699 8012983.7 1.146016
35 4784488968 16783998 69163 0.006699 19231160.8 1.145803
36 4784488970 9328539 69163 0.006699 10689162.1 1.145856
37 4784488972 6994430 69163 0.006699 8014586.0 1.145853
38 4784488974 14471293 69163 0.006699 16578586.9 1.145619
39 4784488976 7514823 69163 0.006699 8609570.8 1.145678
40 4784488978 7064242 69163 0.006699 8093922.9 1.145760
41 4784488980 19560971 69163 0.006699 22410190.8 1.145658
42 4784488982 9160991 69163 0.006699 10494951.4 1.145613
43 4784488984 7783864 69163 0.006699 8916505.3 1.145511
44 4784488986 14296753 69163 0.006699 16382100.0 1.145862
45 4784488988 7035357 69163 0.006699 8059101.2 1.145514
46 4784488990 9879727 69163 0.006699 11318188.8 1.145597
47 4784488992 13989554 69163 0.006699 16025967.4 1.145567
48 4784488994 7008250 69163 0.006699 8033066.4 1.146230
49 4784488996 8394240 69163 0.006699 9615580.5 1.145497
50 4784488998 14327005 69163 0.006699 16416844.7 1.145867
51 4784489000 9333158 69163 0.006699 10696528.4 1.146078
52 4784489002 7016531 69163 0.006699 8040519.8 1.145939
53 4784489004 13989453 69163 0.006699 16025967.5 1.145575
54 4784489006 8039542 69163 0.006699 9213217.3 1.145988
55 4784489008 7730328 69163 0.006699 8854962.0 1.145483
56 4784489010 23871687 69163 0.006699 27350984.5 1.145750
57 4784489012 6992840 69163 0.006699 8012983.7 1.145884
58 4784489014 7171092 69163 0.006699 8218444.9 1.146052
59 4784489016 13989241 69163 0.006699 16028473.3 1.145771
60 4784489018 7282309 69163 0.006699 8343678.3 1.145746
61 4784489020 9672342 69163 0.006699 11079681.2 1.145501
62 4784489022 14040955 69163 0.006699 16088536.9 1.145829
63 4784489024 8389893 69163 0.006699 9615580.5 1.146091
64 4784489026 7326078 69163 0.006699 8396233.6 1.146075
65 4784489028 16713043 69163 0.006699 19146159.7 1.145582
66 4784489030 9323852 69163 0.006699 10683978.4 1.145876
67 4784489032 6996983 69163 0.006699 8016917.5 1.145768
68 4784489034 15705728 69163 0.006699 17993986.3 1.145696
69 4784489036 7238561 69163 0.006699 8292021.0 1.145534
70 4784489038 8456886 69163 0.006699 9693386.9 1.146212
71 4784489040 18649135 69163 0.006699 21367956.8 1.145788
72 4784489042 6996106 69163 0.006699 8015131.5 1.145656
73 4784489044 7458485 69163 0.006699 8547182.7 1.145968
74 4784489046 13985893 69163 0.006699 16025967.6 1.145867
75 4784489048 6991301 69163 0.006699 8012983.8 1.146136
76 4784489050 10461258 69163 0.006699 11988622.6 1.146002
77 4784489052 16781933 69163 0.006699 19231161.2 1.145944
78 4784489054 6996660 69163 0.006699 8013319.2 1.145306
79 4784489056 7083272 69163 0.006699 8118102.1 1.146095
80 4784489058 14279742 69163 0.006699 16251685.5 1.138094
81 201903020 604035 14029 0.009113 681440.6 1.128148
82 201903022 408011 14029 0.009113 460168.6 1.127834
83 201903024 836012 14029 0.009113 943533.2 1.128612
84 2019030200 4751339 44927 0.007246 5418409.4 1.140396
85 2019030202 3852860 44927 0.007246 4394060.0 1.140467
86 2019030204 6503179 44927 0.007246 7418113.8 1.140690
87 20190302000 38339933 142067 0.005910 44197474.5 1.152779
88 20190302002 28298428 142067 0.005910 32622696.1 1.152809
89 20190302004 52371620 142067 0.005910 60379561.6 1.152906
— 前80偶最小 6990820 69163 0.006699 8012983.6 1.138094
— 前80偶最大 23871687 69163 0.006699 27350984.5 1.146252
— 后9偶最小 408011 14029 0.005910 460168.6 1.127834
— 后9偶最大 52371620 142067 0.009113 60379561.6 1.152906

作者: yangchuanju 时间: 2026-9-12 18:31
表4——连乘积与哈李对数式的比均约等于1.26
序号偶数哥猜数连乘积/哈李对数
1 4784488900 9327768 1.260305
2 4784488902 13983768 1.260305
3 4784488904 7934960 1.260305
4 4784488906 6996206 1.260305
5 4784488908 14942506 1.260305
6 4784488910 9333548 1.260305
7 4784488912 9038264 1.260305
8 4784488914 14886261 1.260305
9 4784488916 7068771 1.260305
10 4784488918 7773371 1.260305
11 4784488920 18661571 1.260305
12 4784488922 6993701 1.260305
13 4784488924 7009451 1.260305
14 4784488926 16791125 1.260305
15 4784488928 7234636 1.260305
16 4784488930 10262580 1.260305
17 4784488932 14378943 1.260305
18 4784488934 7336817 1.260305
19 4784488936 7052669 1.260305
20 4784488938 13985241 1.260305
21 4784488940 12455228 1.260305
22 4784488942 7514581 1.260305
23 4784488944 14385955 1.260305
24 4784488946 7059300 1.260305
25 4784488948 6990820 1.260305
26 4784488950 18830012 1.260305
27 4784488952 7403623 1.260305
28 4784488954 8393394 1.260305
29 4784488956 15256790 1.260305
30 4784488958 6995175 1.260305
31 4784488960 9338990 1.260305
32 4784488962 16196635 1.260305
33 4784488964 7041226 1.260305
34 4784488966 6992035 1.260305
35 4784488968 16783998 1.260305
36 4784488970 9328539 1.260305
37 4784488972 6994430 1.260305
38 4784488974 14471293 1.260305
39 4784488976 7514823 1.260305
40 4784488978 7064242 1.260305
41 4784488980 19560971 1.260305
42 4784488982 9160991 1.260305
43 4784488984 7783864 1.260305
44 4784488986 14296753 1.260305
45 4784488988 7035357 1.260305
46 4784488990 9879727 1.260305
47 4784488992 13989554 1.260305
48 4784488994 7008250 1.260305
49 4784488996 8394240 1.260305
50 4784488998 14327005 1.260305
51 4784489000 9333158 1.260305
52 4784489002 7016531 1.260305
53 4784489004 13989453 1.260305
54 4784489006 8039542 1.260305
55 4784489008 7730328 1.260305
56 4784489010 23871687 1.260305
57 4784489012 6992840 1.260305
58 4784489014 7171092 1.260305
59 4784489016 13989241 1.260305
60 4784489018 7282309 1.260305
61 4784489020 9672342 1.260305
62 4784489022 14040955 1.260305
63 4784489024 8389893 1.260305
64 4784489026 7326078 1.260305
65 4784489028 16713043 1.260305
66 4784489030 9323852 1.260305
67 4784489032 6996983 1.260305
68 4784489034 15705728 1.260305
69 4784489036 7238561 1.260305
70 4784489038 8456886 1.260305
71 4784489040 18649135 1.260305
72 4784489042 6996106 1.260305
73 4784489044 7458485 1.260305
74 4784489046 13985893 1.260305
75 4784489048 6991301 1.260305
76 4784489050 10461258 1.260305
77 4784489052 16781933 1.260305
78 4784489054 6996660 1.260305
79 4784489056 7083272 1.260305
80 4784489058 14279742 1.260305
81 201903020 604035 1.262014
82 201903022 408011 1.262014
83 201903024 836012 1.262014
84 2019030200 4751339 1.259679
85 2019030202 3852860 1.259679
86 2019030204 6503179 1.259679
87 20190302000 38339933 1.260208
88 20190302002 28298428 1.260208
89 20190302004 52371620 1.260208
— 前80偶最小 6990820 1.260305
— 前80偶最大 23871687 1.260305
— 后9偶最小 408011 1.259679
— 后9偶最大 52371620 1.262014

作者: yangchuanju 时间: 2026-9-12 18:33
表5——杨修正系数及精度
杨修正系数lgN/(lgN-0.878)
序号偶数哥猜数杨乘数哈李*杨/哥数
1 4784488900 9327768 1.099752 0.999481
2 4784488902 13983768 1.099752 1.000044
3 4784488904 7934960 1.099752 0.999822
4 4784488906 6996206 1.099752 0.999944
5 4784488908 14942506 1.099752 0.999788
6 4784488910 9333548 1.099752 1.000228
7 4784488912 9038264 1.099752 0.999920
8 4784488914 14886261 1.099752 0.999883
9 4784488916 7068771 1.099752 0.999579
10 4784488918 7773371 1.099752 0.999726
11 4784488920 18661571 1.099752 0.999882
12 4784488922 6993701 1.099752 0.999784
13 4784488924 7009451 1.099752 0.999852
14 4784488926 16791125 1.099752 0.999901
15 4784488928 7234636 1.099752 0.999746
16 4784488930 10262580 1.099752 0.999952
17 4784488932 14378943 1.099752 0.999933
18 4784488934 7336817 1.099752 0.999930
19 4784488936 7052669 1.099752 0.999224
20 4784488938 13985241 1.099752 0.999939
21 4784488940 12455228 1.099752 0.999958
22 4784488942 7514581 1.099752 0.999934
23 4784488944 14385955 1.099752 0.999860
24 4784488946 7059300 1.099752 0.999751
25 4784488948 6990820 1.099752 1.000196
26 4784488950 18830012 1.099752 0.999650
27 4784488952 7403623 1.099752 0.999983
28 4784488954 8393394 1.099752 0.999671
29 4784488956 15256790 1.099752 0.999928
30 4784488958 6995175 1.099752 0.999574
31 4784488960 9338990 1.099752 0.999762
32 4784488962 16196635 1.099752 1.000060
33 4784488964 7041226 1.099752 0.999443
34 4784488966 6992035 1.099752 1.000022
35 4784488968 16783998 1.099752 0.999837
36 4784488970 9328539 1.099752 0.999883
37 4784488972 6994430 1.099752 0.999880
38 4784488974 14471293 1.099752 0.999676
39 4784488976 7514823 1.099752 0.999728
40 4784488978 7064242 1.099752 0.999799
41 4784488980 19560971 1.099752 0.999710
42 4784488982 9160991 1.099752 0.999671
43 4784488984 7783864 1.099752 0.999582
44 4784488986 14296753 1.099752 0.999888
45 4784488988 7035357 1.099752 0.999585
46 4784488990 9879727 1.099752 0.999657
47 4784488992 13989554 1.099752 0.999630
48 4784488994 7008250 1.099752 1.000209
49 4784488996 8394240 1.099752 0.999570
50 4784488998 14327005 1.099752 0.999893
51 4784489000 9333158 1.099752 1.000077
52 4784489002 7016531 1.099752 0.999956
53 4784489004 13989453 1.099752 0.999638
54 4784489006 8039542 1.099752 0.999998
55 4784489008 7730328 1.099752 0.999558
56 4784489010 23871687 1.099752 0.999790
57 4784489012 6992840 1.099752 0.999907
58 4784489014 7171092 1.099752 1.000054
59 4784489016 13989241 1.099752 0.999809
60 4784489018 7282309 1.099752 0.999787
61 4784489020 9672342 1.099752 0.999573
62 4784489022 14040955 1.099752 0.999860
63 4784489024 8389893 1.099752 1.000088
64 4784489026 7326078 1.099752 1.000074
65 4784489028 16713043 1.099752 0.999644
66 4784489030 9323852 1.099752 0.999900
67 4784489032 6996983 1.099752 0.999806
68 4784489034 15705728 1.099752 0.999743
69 4784489036 7238561 1.099752 0.999602
70 4784489038 8456886 1.099752 1.000194
71 4784489040 18649135 1.099752 0.999824
72 4784489042 6996106 1.099752 0.999708
73 4784489044 7458485 1.099752 0.999980
74 4784489046 13985893 1.099752 0.999892
75 4784489048 6991301 1.099752 1.000127
76 4784489050 10461258 1.099752 1.000010
77 4784489052 16781933 1.099752 0.999960
78 4784489054 6996660 1.099752 0.999403
79 4784489056 7083272 1.099752 1.000091
80 4784489058 14279742 1.099752 0.993110
81 201903020 604035 1.118215 0.999602
82 201903022 408011 1.118215 0.999324
83 201903024 836012 1.118215 1.000013
84 2019030200 4751339 1.104187 0.999629
85 2019030202 3852860 1.104187 0.999691
86 2019030204 6503179 1.104187 0.999886
87 20190302000 38339933 1.093135 0.999949
88 20190302002 28298428 1.093135 0.999975
89 20190302004 52371620 1.093135 1.000059
— 前80偶最小 6990820 1.099752 0.993110
— 前80偶最大 23871687 1.099752 1.000228
— 后9偶最小 408011 1.093135 0.999324
— 后9偶最大 52371620 1.118215 1.000059

作者: yangchuanju 时间: 2026-9-12 18:35
本帖最后由 yangchuanju 于 2026-9-13 05:32 编辑

表6——愚公688（奚）高精度计算式及精度
奚氏偶数1+1组合数量计算式Xi(M)=t2*c1*M/(logM)^2
式中：动态修正系数 t2=1.358-log(M)^(0.5)*.05484; (范围：t2＞1）
log(M)——自然对数；
C1--类似拉曼扭杨系数C(N)，略作改进；（只计算√M内的素数）

序号偶数哥猜数奚t2 C1 Xi(M) 奚哥数/哥数
1 4784488900 9327768 1.099096 0.880216 9317359.6 0.998884
2 4784488902 13983768 1.099096 1.320324 13976039.4 0.999447
3 4784488904 7934960 1.099096 0.749039 7928812.2 0.999225
4 4784488906 6996206 1.099096 0.660504 6991642.3 0.999348
5 4784488908 14942506 1.099096 1.410485 14930421.1 0.999191
6 4784488910 9333548 1.099096 0.881420 9330105.7 0.999631
7 4784488912 9038264 1.099096 0.853271 9032144.6 0.999323
8 4784488914 14886261 1.099096 1.405309 14875636.7 0.999286
9 4784488916 7068771 1.099096 0.667111 7061577.8 0.998982
10 4784488918 7773371 1.099096 0.733715 7766602.8 0.999129
11 4784488920 18661571 1.099096 1.761709 18648240.1 0.999286
12 4784488922 6993701 1.099096 0.660162 6988019.7 0.999188
13 4784488924 7009451 1.099096 0.661694 7004233.2 0.999256
14 4784488926 16791125 1.099096 1.585163 16779445.9 0.999304
15 4784488928 7234636 1.099096 0.682879 7228483.1 0.999150
16 4784488930 10262580 1.099096 0.968886 10255963.5 0.999355
17 4784488932 14378943 1.099096 1.357484 14369393.7 0.999336
18 4784488934 7336817 1.099096 0.692651 7331925.3 0.999333
19 4784488936 7052669 1.099096 0.665355 7042989.2 0.998627
20 4784488938 13985241 1.099096 1.320324 13976039.5 0.999342
21 4784488940 12455228 1.099096 1.175900 12447267.6 0.999361
22 4784488942 7514581 1.099096 0.709436 7509597.7 0.999337
23 4784488944 14385955 1.099096 1.358047 14375355.0 0.999263
24 4784488946 7059300 1.099096 0.666332 7053328.4 0.999154
25 4784488948 6990820 1.099096 0.660162 6988019.8 0.999599
26 4784488950 18830012 1.099096 1.777198 18812192.9 0.999054
27 4784488952 7403623 1.099096 0.698995 7399079.8 0.999386
28 4784488954 8393394 1.099096 0.792194 8385623.7 0.999074
29 4784488956 15256790 1.099096 1.440353 15246588.6 0.999331
30 4784488958 6995175 1.099096 0.660162 6988019.8 0.998977
31 4784488960 9338990 1.099096 0.881523 9331195.2 0.999165
32 4784488962 16196635 1.099096 1.529283 16187939.4 0.999463
33 4784488964 7041226 1.099096 0.664421 7033103.8 0.998846
34 4784488966 6992035 1.099096 0.660162 6988019.8 0.999426
35 4784488968 16783998 1.099096 1.584388 16771247.5 0.999240
36 4784488970 9328539 1.099096 0.880643 9321880.5 0.999286
37 4784488972 6994430 1.099096 0.660294 6989417.1 0.999283
38 4784488974 14471293 1.099096 1.365852 14457972.0 0.999079
39 4784488976 7514823 1.099096 0.709313 7508295.7 0.999131
40 4784488978 7064242 1.099096 0.666830 7058605.9 0.999202
41 4784488980 19560971 1.099096 1.846298 19543638.6 0.999114
42 4784488982 9160991 1.099096 0.864642 9152511.8 0.999074
43 4784488984 7783864 1.099096 0.734600 7775969.4 0.998986
44 4784488986 14296753 1.099096 1.349664 14286618.3 0.999291
45 4784488988 7035357 1.099096 0.663961 7028238.3 0.998988
46 4784488990 9879727 1.099096 0.932466 9870446.6 0.999061
47 4784488992 13989554 1.099096 1.320324 13976039.7 0.999034
48 4784488994 7008250 1.099096 0.661816 7005533.7 0.999612
49 4784488996 8394240 1.099096 0.792194 8385623.8 0.998974
50 4784488998 14327005 1.099096 1.352527 14316918.7 0.999296
51 4784489000 9333158 1.099096 0.881250 9328304.6 0.999480
52 4784489002 7016531 1.099096 0.662430 7012033.7 0.999359
53 4784489004 13989453 1.099096 1.320324 13976039.7 0.999041
54 4784489006 8039542 1.099096 0.759045 8034728.1 0.999401
55 4784489008 7730328 1.099096 0.729529 7722298.2 0.998961
56 4784489010 23871687 1.099096 2.253352 23852441.1 0.999194
57 4784489012 6992840 1.099096 0.660162 6988019.9 0.999311
58 4784489014 7171092 1.099096 0.677089 7167199.9 0.999457
59 4784489016 13989241 1.099096 1.320530 13978225.0 0.999213
60 4784489018 7282309 1.099096 0.687407 7276414.3 0.999191
61 4784489020 9672342 1.099096 0.912816 9662447.2 0.998977
62 4784489022 14040955 1.099096 1.325479 14030605.7 0.999263
63 4784489024 8389893 1.099096 0.792194 8385623.8 0.999491
64 4784489026 7326078 1.099096 0.691736 7322247.1 0.999477
65 4784489028 16713043 1.099096 1.577385 16697119.2 0.999047
66 4784489030 9323852 1.099096 0.880216 9317359.8 0.999304
67 4784489032 6996983 1.099096 0.660486 6991450.4 0.999209
68 4784489034 15705728 1.099096 1.482462 15692323.5 0.999147
69 4784489036 7238561 1.099096 0.683151 7231364.6 0.999006
70 4784489038 8456886 1.099096 0.798604 8453477.8 0.999597
71 4784489040 18649135 1.099096 1.760432 18634719.7 0.999227
72 4784489042 6996106 1.099096 0.660339 6989892.9 0.999112
73 4784489044 7458485 1.099096 0.704173 7453887.9 0.999384
74 4784489046 13985893 1.099096 1.320324 13976039.8 0.999295
75 4784489048 6991301 1.099096 0.660162 6988019.9 0.999531
76 4784489050 10461258 1.099096 0.987701 10455123.3 0.999414
77 4784489052 16781933 1.099096 1.584388 16771247.8 0.999363
78 4784489054 6996660 1.099096 0.660189 6988312.4 0.998807
79 4784489056 7083272 1.099096 0.668822 7079692.2 0.999495
80 4784489058 14279742 1.099096 1.338920 14172885.5 0.992517
81 201903020 604035 1.118184 0.978018 603777.6 0.999574
82 201903022 408011 1.118184 0.660443 407723.7 0.999296
83 201903024 836012 1.118184 1.354178 835999.7 0.999985
84 2019030200 4751339 1.104156 0.978018 4749440.3 0.999600
85 2019030202 3852860 1.104156 0.793123 3851559.5 0.999662
86 2019030204 6503179 1.104156 1.338962 6502256.7 0.999858
87 20190302000 38339933 1.090864 0.978029 38258318.7 0.997871
88 20190302002 28298428 1.090864 0.721895 28238932.6 0.997898
89 20190302004 52371620 1.090864 1.336117 52265893.8 0.997981
— 前80偶最小 6990820 1.099096 0.660162 6988019.7 0.992517
— 前80偶最大 23871687 1.099096 2.253352 23852441.1 0.999631
— 后9偶最小 408011 1.090864 0.660443 407723.7 0.997871
— 后9偶最大 52371620 1.118184 1.354178 52265893.8 0.999985

作者: yangchuanju 时间: 2026-9-12 18:37
表7——素数连乘积、奇合连乘积、含偶合数连乘积转换表
序号偶数哥猜数素数连乘积奇合连乘积合数连乘积奇连哥合连哥奇连哥/哥数
1 4784488900 9327768 0.006699 463.33 16022492.0 10683978.1 10683978.1 1.145395
2 4784488902 13983768 0.006699 463.33 16022492.0 16025967.1 16025967.1 1.146041
3 4784488904 7934960 0.006699 463.33 16022492.0 9091766.2 9091766.2 1.145786
4 4784488906 6996206 0.006699 463.33 16022492.0 8017137.5 8017137.5 1.145926
5 4784488908 14942506 0.006699 463.33 16022492.0 17120332.2 17120332.2 1.145747
6 4784488910 9333548 0.006699 463.33 16022492.0 10698593.7 10698593.7 1.146252
7 4784488912 9038264 0.006699 463.33 16022492.0 10356929.3 10356929.3 1.145898
8 4784488914 14886261 0.006699 463.33 16022492.0 17057512.3 17057512.3 1.145856
9 4784488916 7068771 0.006699 463.33 16022492.0 8097330.8 8097330.8 1.145508
10 4784488918 7773371 0.006699 463.33 16022492.0 8905764.9 8905764.9 1.145676
11 4784488920 18661571 0.006699 463.33 16022492.0 21383460.1 21383460.1 1.145855
12 4784488922 6993701 0.006699 463.33 16022492.0 8012983.6 8012983.6 1.145743
13 4784488924 7009451 0.006699 463.33 16022492.0 8031575.2 8031575.2 1.145821
14 4784488926 16791125 0.006699 463.33 16022492.0 19240561.7 19240561.7 1.145877
15 4784488928 7234636 0.006699 463.33 16022492.0 8288716.8 8288716.8 1.145699
16 4784488930 10262580 0.006699 463.33 16022492.0 11760251.1 11760251.1 1.145935
17 4784488932 14378943 0.006699 463.33 16022492.0 16477016.4 16477016.4 1.145913
18 4784488934 7336817 0.006699 463.33 16022492.0 8407331.4 8407331.4 1.145910
19 4784488936 7052669 0.006699 463.33 16022492.0 8076015.7 8076015.7 1.145101
20 4784488938 13985241 0.006699 463.33 16022492.0 16025967.2 16025967.2 1.145920
21 4784488940 12455228 0.006699 463.33 16022492.0 14272963.6 14272963.6 1.145942
22 4784488942 7514581 0.006699 463.33 16022492.0 8611063.8 8611063.8 1.145914
23 4784488944 14385955 0.006699 463.33 16022492.0 16483852.0 16483852.0 1.145830
24 4784488946 7059300 0.006699 463.33 16022492.0 8087871.3 8087871.3 1.145704
25 4784488948 6990820 0.006699 463.33 16022492.0 8012983.6 8012983.6 1.146215
26 4784488950 18830012 0.006699 463.33 16022492.0 21571460.7 21571460.7 1.145589
27 4784488952 7403623 0.006699 463.33 16022492.0 8484335.6 8484335.6 1.145971
28 4784488954 8393394 0.006699 463.33 16022492.0 9615580.4 9615580.4 1.145613
29 4784488956 15256790 0.006699 463.33 16022492.0 17482873.4 17482873.4 1.145908
30 4784488958 6995175 0.006699 463.33 16022492.0 8012983.7 8012983.7 1.145502
31 4784488960 9338990 0.006699 463.33 16022492.0 10699843.0 10699843.0 1.145717
32 4784488962 16196635 0.006699 463.33 16022492.0 18562296.3 18562296.3 1.146059
33 4784488964 7041226 0.006699 463.33 16022492.0 8064680.3 8064680.3 1.145352
34 4784488966 6992035 0.006699 463.33 16022492.0 8012983.7 8012983.7 1.146016
35 4784488968 16783998 0.006699 463.33 16022492.0 19231160.8 19231160.8 1.145803
36 4784488970 9328539 0.006699 463.33 16022492.0 10689162.1 10689162.1 1.145856
37 4784488972 6994430 0.006699 463.33 16022492.0 8014586.0 8014586.0 1.145853
38 4784488974 14471293 0.006699 463.33 16022492.0 16578586.9 16578586.9 1.145619
39 4784488976 7514823 0.006699 463.33 16022492.0 8609570.8 8609570.8 1.145678
40 4784488978 7064242 0.006699 463.33 16022492.0 8093922.9 8093922.9 1.145760
41 4784488980 19560971 0.006699 463.33 16022492.0 22410190.8 22410190.8 1.145658
42 4784488982 9160991 0.006699 463.33 16022492.0 10494951.4 10494951.4 1.145613
43 4784488984 7783864 0.006699 463.33 16022492.0 8916505.3 8916505.3 1.145511
44 4784488986 14296753 0.006699 463.33 16022492.0 16382100.0 16382100.0 1.145862
45 4784488988 7035357 0.006699 463.33 16022492.0 8059101.2 8059101.2 1.145514
46 4784488990 9879727 0.006699 463.33 16022492.0 11318188.8 11318188.8 1.145597
47 4784488992 13989554 0.006699 463.33 16022492.0 16025967.4 16025967.4 1.145567
48 4784488994 7008250 0.006699 463.33 16022492.0 8033066.4 8033066.4 1.146230
49 4784488996 8394240 0.006699 463.33 16022492.0 9615580.5 9615580.5 1.145497
50 4784488998 14327005 0.006699 463.33 16022492.0 16416844.7 16416844.7 1.145867
51 4784489000 9333158 0.006699 463.33 16022492.0 10696528.4 10696528.4 1.146078
52 4784489002 7016531 0.006699 463.33 16022492.0 8040519.8 8040519.8 1.145939
53 4784489004 13989453 0.006699 463.33 16022492.0 16025967.5 16025967.5 1.145575
54 4784489006 8039542 0.006699 463.33 16022492.0 9213217.3 9213217.3 1.145988
55 4784489008 7730328 0.006699 463.33 16022492.0 8854962.0 8854962.0 1.145483
56 4784489010 23871687 0.006699 463.33 16022492.0 27350984.5 27350984.5 1.145750
57 4784489012 6992840 0.006699 463.33 16022492.0 8012983.7 8012983.7 1.145884
58 4784489014 7171092 0.006699 463.33 16022492.0 8218444.9 8218444.9 1.146052
59 4784489016 13989241 0.006699 463.33 16022492.0 16028473.3 16028473.3 1.145771
60 4784489018 7282309 0.006699 463.33 16022492.0 8343678.3 8343678.3 1.145746
61 4784489020 9672342 0.006699 463.33 16022492.0 11079681.2 11079681.2 1.145501
62 4784489022 14040955 0.006699 463.33 16022492.0 16088536.9 16088536.9 1.145829
63 4784489024 8389893 0.006699 463.33 16022492.0 9615580.5 9615580.5 1.146091
64 4784489026 7326078 0.006699 463.33 16022492.0 8396233.6 8396233.6 1.146075
65 4784489028 16713043 0.006699 463.33 16022492.0 19146159.7 19146159.7 1.145582
66 4784489030 9323852 0.006699 463.33 16022492.0 10683978.4 10683978.4 1.145876
67 4784489032 6996983 0.006699 463.33 16022492.0 8016917.5 8016917.5 1.145768
68 4784489034 15705728 0.006699 463.33 16022492.0 17993986.3 17993986.3 1.145696
69 4784489036 7238561 0.006699 463.33 16022492.0 8292021.0 8292021.0 1.145534
70 4784489038 8456886 0.006699 463.33 16022492.0 9693386.9 9693386.9 1.146212
71 4784489040 18649135 0.006699 463.33 16022492.0 21367956.8 21367956.8 1.145788
72 4784489042 6996106 0.006699 463.33 16022492.0 8015131.5 8015131.5 1.145656
73 4784489044 7458485 0.006699 463.33 16022492.0 8547182.7 8547182.7 1.145968
74 4784489046 13985893 0.006699 463.33 16022492.0 16025967.6 16025967.6 1.145867
75 4784489048 6991301 0.006699 463.33 16022492.0 8012983.8 8012983.8 1.146136
76 4784489050 10461258 0.006699 463.33 16022492.0 11988622.6 11988622.6 1.146002
77 4784489052 16781933 0.006699 463.33 16022492.0 19231161.2 19231161.2 1.145944
78 4784489054 6996660 0.006699 463.33 16022492.0 8013319.2 8013319.2 1.145306
79 4784489056 7083272 0.006699 463.33 16022492.0 8118102.1 8118102.1 1.146095
80 4784489058 14279742 0.006699 463.33 16022492.0 16251685.5 16251685.5 1.138094
81 201903020 604035 0.009113 127.84 896688.2 681440.6 681440.6 1.128148
82 201903022 408011 0.009113 127.84 896688.2 460168.6 460168.6 1.127834
83 201903024 836012 0.009113 127.84 896688.2 943533.2 943533.2 1.128612
84 2019030200 4751339 0.007246 325.54 7312534.7 5418409.4 5418409.4 1.140396
85 2019030202 3852860 0.007246 325.54 7312534.7 4394060.0 4394060.0 1.140467
86 2019030204 6503179 0.007246 325.54 7312534.7 7418113.8 7418113.8 1.140690
87 20190302000 38339933 0.005910 839.67 59643972.9 44197474.5 44197474.5 1.152779
88 20190302002 28298428 0.005910 839.67 59643972.9 32622696.1 32622696.1 1.152809
89 20190302004 52371620 0.005910 839.67 59643972.9 60379561.6 60379561.6 1.152906
— 前80偶最小 6990820 0.006699 463.3322334 16022492.0 8012983.6 8012983.6 1.138094
— 前80偶最大 23871687 0.006699 463.3322334 16022492.0 27350984.5 27350984.5 1.146252
— 后9偶最小 408011 0.005910 127.8426245 896688.2 460168.6 460168.6 1.127834
— 后9偶最大 52371620 0.009113 839.6656895 59643972.9 60379561.6 60379561.6 1.152906

作者: yangchuanju 时间: 2026-9-12 18:40
表8——不计波因并乘3/7*5/18的鲁思顺哥猜数
序号偶数哥猜数鲁合连哥鲁合哥/哥数
1 4784488900 9327768 1907439.5 0.204490
2 4784488902 13983768 1907439.5 0.136404
3 4784488904 7934960 1907439.5 0.240384
4 4784488906 6996206 1907439.5 0.272639
5 4784488908 14942506 1907439.5 0.127652
6 4784488910 9333548 1907439.5 0.204364
7 4784488912 9038264 1907439.5 0.211040
8 4784488914 14886261 1907439.5 0.128134
9 4784488916 7068771 1907439.5 0.269840
10 4784488918 7773371 1907439.5 0.245381
11 4784488920 18661571 1907439.5 0.102212
12 4784488922 6993701 1907439.5 0.272737
13 4784488924 7009451 1907439.5 0.272124
14 4784488926 16791125 1907439.5 0.113598
15 4784488928 7234636 1907439.5 0.263654
16 4784488930 10262580 1907439.5 0.185864
17 4784488932 14378943 1907439.5 0.132655
18 4784488934 7336817 1907439.5 0.259982
19 4784488936 7052669 1907439.5 0.270456
20 4784488938 13985241 1907439.5 0.136389
21 4784488940 12455228 1907439.5 0.153144
22 4784488942 7514581 1907439.5 0.253832
23 4784488944 14385955 1907439.5 0.132590
24 4784488946 7059300 1907439.5 0.270202
25 4784488948 6990820 1907439.5 0.272849
26 4784488950 18830012 1907439.5 0.101298
27 4784488952 7403623 1907439.5 0.257636
28 4784488954 8393394 1907439.5 0.227255
29 4784488956 15256790 1907439.5 0.125022
30 4784488958 6995175 1907439.5 0.272679
31 4784488960 9338990 1907439.5 0.204245
32 4784488962 16196635 1907439.5 0.117768
33 4784488964 7041226 1907439.5 0.270896
34 4784488966 6992035 1907439.5 0.272802
35 4784488968 16783998 1907439.5 0.113646
36 4784488970 9328539 1907439.5 0.204474
37 4784488972 6994430 1907439.5 0.272708
38 4784488974 14471293 1907439.5 0.131809
39 4784488976 7514823 1907439.5 0.253824
40 4784488978 7064242 1907439.5 0.270013
41 4784488980 19560971 1907439.5 0.097513
42 4784488982 9160991 1907439.5 0.208213
43 4784488984 7783864 1907439.5 0.245050
44 4784488986 14296753 1907439.5 0.133418
45 4784488988 7035357 1907439.5 0.271122
46 4784488990 9879727 1907439.5 0.193066
47 4784488992 13989554 1907439.5 0.136347
48 4784488994 7008250 1907439.5 0.272171
49 4784488996 8394240 1907439.5 0.227232
50 4784488998 14327005 1907439.5 0.133136
51 4784489000 9333158 1907439.5 0.204372
52 4784489002 7016531 1907439.5 0.271849
53 4784489004 13989453 1907439.5 0.136348
54 4784489006 8039542 1907439.5 0.237257
55 4784489008 7730328 1907439.5 0.246748
56 4784489010 23871687 1907439.5 0.079904
57 4784489012 6992840 1907439.5 0.272770
58 4784489014 7171092 1907439.5 0.265990
59 4784489016 13989241 1907439.5 0.136350
60 4784489018 7282309 1907439.5 0.261928
61 4784489020 9672342 1907439.5 0.197206
62 4784489022 14040955 1907439.5 0.135848
63 4784489024 8389893 1907439.5 0.227350
64 4784489026 7326078 1907439.5 0.260363
65 4784489028 16713043 1907439.5 0.114129
66 4784489030 9323852 1907439.5 0.204576
67 4784489032 6996983 1907439.5 0.272609
68 4784489034 15705728 1907439.5 0.121449
69 4784489036 7238561 1907439.5 0.263511
70 4784489038 8456886 1907439.5 0.225549
71 4784489040 18649135 1907439.5 0.102280
72 4784489042 6996106 1907439.5 0.272643
73 4784489044 7458485 1907439.5 0.255741
74 4784489046 13985893 1907439.5 0.136383
75 4784489048 6991301 1907439.5 0.272830
76 4784489050 10461258 1907439.5 0.182334
77 4784489052 16781933 1907439.5 0.113660
78 4784489054 6996660 1907439.5 0.272621
79 4784489056 7083272 1907439.5 0.269288
80 4784489058 14279742 1907439.5 0.133577
81 201903020 604035 106748.6 0.176726
82 201903022 408011 106748.6 0.261632
83 201903024 836012 106748.6 0.127688
84 2019030200 4751339 870539.9 0.183220
85 2019030202 3852860 870539.9 0.225946
86 2019030204 6503179 870539.9 0.133864
87 20190302000 38339933 7100473.0 0.185198
88 20190302002 28298428 7100473.0 0.250914
89 20190302004 52371620 7100473.0 0.135579
— 前80偶最小 6990820 1907439.5 0.079904
— 前80偶最大 23871687 1907439.5 0.272849
— 后9偶最小 408011 106748.6 0.127688
— 后9偶最大 52371620 7100473.0 0.261632

作者: yangchuanju 时间: 2026-9-12 18:41
表9——吴代业的哥猜数计算式K*(A+Fj*A/lnA)/(LnA)^2
序号偶数哥猜数模30余数吴系数K 吴Fj 吴系数1+Fj/lnA 吴哥数吴哥/哥数
1 4784488900 9327768 10 0.8333 3.321378 1.149017 9221748.5 0.988634
2 4784488902 13983768 12 1.2500 3.321378 1.149017 13832622.7 0.989191
3 4784488904 7934960 14 0.6250 3.321378 1.149017 6916311.4 0.871625
4 4784488906 6996206 16 0.6250 3.321378 1.149017 6916311.4 0.988580
5 4784488908 14942506 18 1.2500 3.321378 1.149017 13832622.7 0.925723
6 4784488910 9333548 20 0.8333 3.321378 1.149017 9221748.5 0.988022
7 4784488912 9038264 22 0.6250 3.321378 1.149017 6916311.4 0.765226
8 4784488914 14886261 24 1.2500 3.321378 1.149017 13832622.8 0.929221
9 4784488916 7068771 26 0.6250 3.321378 1.149017 6916311.4 0.978432
10 4784488918 7773371 28 0.6250 3.321378 1.149017 6916311.4 0.889744
11 4784488920 18661571 0 1.6667 3.321378 1.149017 18443497.0 0.988314
12 4784488922 6993701 2 0.6250 3.321378 1.149017 6916311.4 0.988934
13 4784488924 7009451 4 0.6250 3.321378 1.149017 6916311.4 0.986712
14 4784488926 16791125 6 1.2500 3.321378 1.149017 13832622.8 0.823806
15 4784488928 7234636 8 0.6250 3.321378 1.149017 6916311.4 0.956000
16 4784488930 10262580 10 0.8333 3.321378 1.149017 9221748.5 0.898580
17 4784488932 14378943 12 1.2500 3.321378 1.149017 13832622.8 0.962006
18 4784488934 7336817 14 0.6250 3.321378 1.149017 6916311.4 0.942686
19 4784488936 7052669 16 0.6250 3.321378 1.149017 6916311.4 0.980666
20 4784488938 13985241 18 1.2500 3.321378 1.149017 13832622.8 0.989087
21 4784488940 12455228 20 0.8333 3.321378 1.149017 9221748.6 0.740392
22 4784488942 7514581 22 0.6250 3.321378 1.149017 6916311.4 0.920386
23 4784488944 14385955 24 1.2500 3.321378 1.149017 13832622.8 0.961537
24 4784488946 7059300 26 0.6250 3.321378 1.149017 6916311.4 0.979745
25 4784488948 6990820 28 0.6250 3.321378 1.149017 6916311.4 0.989342
26 4784488950 18830012 0 1.6667 3.321378 1.149017 18443497.1 0.979473
27 4784488952 7403623 2 0.6250 3.321378 1.149017 6916311.4 0.934179
28 4784488954 8393394 4 0.6250 3.321378 1.149017 6916311.4 0.824018
29 4784488956 15256790 6 1.2500 3.321378 1.149017 13832622.9 0.906654
30 4784488958 6995175 8 0.6250 3.321378 1.149017 6916311.4 0.988726
31 4784488960 9338990 10 0.8333 3.321378 1.149017 9221748.6 0.987446
32 4784488962 16196635 12 1.2500 3.321378 1.149017 13832622.9 0.854043
33 4784488964 7041226 14 0.6250 3.321378 1.149017 6916311.4 0.982260
34 4784488966 6992035 16 0.6250 3.321378 1.149017 6916311.4 0.989170
35 4784488968 16783998 18 1.2500 3.321378 1.149017 13832622.9 0.824155
36 4784488970 9328539 20 0.8333 3.321378 1.149017 9221748.6 0.988552
37 4784488972 6994430 22 0.6250 3.321378 1.149017 6916311.5 0.988831
38 4784488974 14471293 24 1.2500 3.321378 1.149017 13832622.9 0.955866
39 4784488976 7514823 26 0.6250 3.321378 1.149017 6916311.5 0.920356
40 4784488978 7064242 28 0.6250 3.321378 1.149017 6916311.5 0.979059
41 4784488980 19560971 0 1.6667 3.321378 1.149017 18443497.2 0.942872
42 4784488982 9160991 2 0.6250 3.321378 1.149017 6916311.5 0.754974
43 4784488984 7783864 4 0.6250 3.321378 1.149017 6916311.5 0.888545
44 4784488986 14296753 6 1.2500 3.321378 1.149017 13832622.9 0.967536
45 4784488988 7035357 8 0.6250 3.321378 1.149017 6916311.5 0.983079
46 4784488990 9879727 10 0.8333 3.321378 1.149017 9221748.6 0.933401
47 4784488992 13989554 12 1.2500 3.321378 1.149017 13832623.0 0.988782
48 4784488994 7008250 14 0.6250 3.321378 1.149017 6916311.5 0.986881
49 4784488996 8394240 16 0.6250 3.321378 1.149017 6916311.5 0.823935
50 4784488998 14327005 18 1.2500 3.321378 1.149017 13832623.0 0.965493
51 4784489000 9333158 20 0.8333 3.321378 1.149017 9221748.7 0.988063
52 4784489002 7016531 22 0.6250 3.321378 1.149017 6916311.5 0.985717
53 4784489004 13989453 24 1.2500 3.321378 1.149017 13832623.0 0.988789
54 4784489006 8039542 26 0.6250 3.321378 1.149017 6916311.5 0.860287
55 4784489008 7730328 28 0.6250 3.321378 1.149017 6916311.5 0.894698
56 4784489010 23871687 0 1.6667 3.321378 1.149017 18443497.4 0.772610
57 4784489012 6992840 2 0.6250 3.321378 1.149017 6916311.5 0.989056
58 4784489014 7171092 4 0.6250 3.321378 1.149017 6916311.5 0.964471
59 4784489016 13989241 6 1.2500 3.321378 1.149017 13832623.0 0.988804
60 4784489018 7282309 8 0.6250 3.321378 1.149017 6916311.5 0.949742
61 4784489020 9672342 10 0.8333 3.321378 1.149017 9221748.7 0.953414
62 4784489022 14040955 12 1.2500 3.321378 1.149017 13832623.0 0.985163
63 4784489024 8389893 14 0.6250 3.321378 1.149017 6916311.5 0.824362
64 4784489026 7326078 16 0.6250 3.321378 1.149017 6916311.5 0.944067
65 4784489028 16713043 18 1.2500 3.321378 1.149017 13832623.1 0.827654
66 4784489030 9323852 20 0.8333 3.321378 1.149017 9221748.7 0.989049
67 4784489032 6996983 22 0.6250 3.321378 1.149017 6916311.5 0.988471
68 4784489034 15705728 24 1.2500 3.321378 1.149017 13832623.1 0.880737
69 4784489036 7238561 26 0.6250 3.321378 1.149017 6916311.5 0.955482
70 4784489038 8456886 28 0.6250 3.321378 1.149017 6916311.5 0.817832
71 4784489040 18649135 0 1.6667 3.321378 1.149017 18443497.5 0.988973
72 4784489042 6996106 2 0.6250 3.321378 1.149017 6916311.5 0.988594
73 4784489044 7458485 4 0.6250 3.321378 1.149017 6916311.6 0.927308
74 4784489046 13985893 6 1.2500 3.321378 1.149017 13832623.1 0.989041
75 4784489048 6991301 8 0.6250 3.321378 1.149017 6916311.6 0.989274
76 4784489050 10461258 10 0.8333 3.321378 1.149017 9221748.7 0.881514
77 4784489052 16781933 12 1.2500 3.321378 1.149017 13832623.1 0.824257
78 4784489054 6996660 14 0.6250 3.321378 1.149017 6916311.6 0.988516
79 4784489056 7083272 16 0.6250 3.321378 1.149017 6916311.6 0.976429
80 4784489058 14279742 18 1.2500 3.321378 1.149017 13832623.1 0.968689
81 201903020 604035 20 0.8333 3.297581 1.172438 539418.5 0.893025
82 201903022 408011 22 0.6250 3.297581 1.172438 404563.9 0.991551
83 201903024 836012 24 1.2500 3.297581 1.172438 809127.8 0.967842
84 2019030200 4751339 20 0.8333 3.321378 1.155017 4233236.4 0.890956
85 2019030202 3852860 22 0.6250 3.321378 1.155017 3174927.3 0.824044
86 2019030204 6503179 24 1.2500 3.321378 1.155017 6349854.5 0.976423
87 20190302000 38339933 20 0.8333 3.336087 1.140594 34084219.5 0.889000
88 20190302002 28298428 22 0.6250 3.336087 1.140594 25563164.6 0.903342
89 20190302004 52371620 24 1.2500 3.336087 1.140594 51126329.2 0.976222
— 前80偶最小 6990820 0 0.6250 3.321378 1.149017 6916311.4 0.740392
— 前80偶最大 23871687 28 1.6667 3.321378 1.149017 18443497.5 0.989342
— 后9偶最小 408011 20 0.6250 3.297581 1.140594 404563.9 0.824044
— 后9偶最大 52371620 24 1.2500 3.336087 1.172438 51126329.2 0.991551

作者: yangchuanju 时间: 2026-9-12 18:54
按各个公式计算的9--11位偶数的哥猜素数对数及精度——
哈李对数式计算值均小于真实哥猜素数对数；
素数连乘积计算式计算值均大于真实哥猜素数对数；
素数连乘积计算值与哈李对数计算式计算值之比均在1.26上下；
杨在哈李对数式基础上乘一个lgN/(lgN-0.878)的修正系数后，精度还可以；
愚公688（奚）的精度最高；
吴代业的精度比愚公的精度低一些，主要是因为吴代业不考虑3和5以外的其它小素因子；
鲁思顺的精度最低，不得不承认波动因子，而且有乘了一个很小的“加强”系数。

作者: 重生888@ 时间: 2026-9-12 19:15
本帖最后由重生888@ 于 2026-9-12 19:17 编辑

没有理论没有步骤，电脑速度倒快！

楼主用吴代业公式计算4784488904=6916311（对），精度0.8几，下面是小因子增益后的精度：（该偶数有小因子13和29）
6916311*12/11*28/27=7824513 7824513/7934960=0.986031

到底精度如何？

作者: yangchuanju 时间: 2026-9-13 05:22
本帖最后由 yangchuanju 于 2026-10-31 19:54 编辑

精度对比分析
对于前80个10位偶数，奚在哈李对数式基础上乘了一个系数t2=1.099096，最终精度变成0.992517-0.999631，都略小于1；
杨在哈李对数式基础上乘了一个系数1.099752，最终精度变成0.993110-1.000228，有的偶数略小于1，有的偶数略大于1。
对于后9个9-11位偶数，奚在哈李对数式基础上乘了一个系数t2=1.090864-1.118184，最终精度变成0.997871-0.999985，也都略小于1，但比前80数更接近于1；
杨在哈李对数式基础上乘了一个系数1.093135-1.118215，最终精度变成0.999324-1.000059，有的偶数略小于1，有的偶数略大于1，都比前80数更接近于1。

奚的动态修正系数 t2=1.358-ln(偶)^(0.5)*0.05484(范围：t2＞1）；
杨的修正系数是lg偶/(lg偶-0.878)，两个系数都大于1，但二人的修正系数值是不同的。

愚公688（奚）另有一套分段计取修正系数的计算公式，其精度更高一点，在此从略。

作者: yangchuanju 时间: 2026-9-13 05:23
本帖最后由 yangchuanju 于 2026-9-13 06:28 编辑

对于吴代业计算式，若将吴的第一系数K换成孪生素数常数0.6601618……*波动因子，前80偶数精度变成1.037597-1.045034，后9偶数精度变成1.043362-1.048505，都大于1了；
这是因为吴乘了一个较大的修正系数Fj=1.149017和1.140594-1.172438；
若再去掉Fj这个系数，即还原到哈李对数计算式的精度0.903030和0.893678-0.914854。

吴代业计算式中没有孪生素数常数0.6601618...，另有4个系数5/8=0.625，5/8*2=1.25，5/8*4/3=0.8333...，5/8*4/3*2=1.6666...，
对于7,11及以上的小素因子没有考虑，吴取一个较大的修正系数Fj=1.149017和1.140594-1.172438是必然的。

杨吴修正系数对比——
吴计算式中乘了个修正系数1+Fj/ln偶，杨计算式中乘了个修正系数lg偶/(lg偶-0.878)，两个系数都大于1，只是吴的大一点，杨的小一点罢了。

对于鲁思顺计算式，若将他的“加强”系数3/7*5/18去掉，再乘以波动因子，就是素数连乘积计算式的计算值，均大于相应偶数的真实哥猜素数对数了；
鉴于鲁思顺不考虑波动因子，又乘了一个大大小于1的“加强”系数，故他的最终计算值都远小于真实哥猜素数对数啦！
鲁思顺的哥猜数计算值谈不上精度！

作者: 重生888@ 时间: 2026-9-13 06:10
怪不得对某某人式子计算：乐此不疲，原来自己也是同路人。

作者: 重生888@ 时间: 2026-9-13 06:27
吴计算式中乘了个修正系数1+Fj/ln偶，杨计算式中乘了个修正系数lg偶/(lg偶-0.878)，两个系数都大于1，只是吴的大一点，杨的小一点罢了。

吴代业是一套计算系数！别扯是“修正系数”！杨先生的修正“系数”是随便加的数值！不要和吴代业计算方法混为一谈！

作者: 重生888@ 时间: 2026-9-13 06:42
5——杨修正系数及精度
杨修正系数lgN/(lgN-0.878)
序号        偶数        哥猜数        杨乘数        哈李*杨/哥数
1        4784488900        9327768        1.099752         0.999481
2        4784488902        13983768        1.099752         1.000044
3        4784488904        7934960        1.099752         0.999822
4        4784488906        6996206        1.099752         0.999944
5        4784488908        14942506        1.099752         0.999788
6        4784488910        9333548        1.099752         1.000228
7        4784488912        9038264        1.099752         0.999920
8        4784488914        14886261        1.099752         0.999883
9        4784488916        7068771        1.099752         0.999579
10        4784488918        7773371        1.099752         0.999726
11        4784488920        18661571        1.099752         0.999882
12        4784488922        6993701        1.099752         0.999784
13        4784488924        7009451        1.099752         0.999852
14        4784488926        16791125        1.099752         0.999901
15        4784488928        7234636        1.099752         0.999746
16        4784488930        10262580        1.099752         0.999952
17        4784488932        14378943        1.099752         0.999933
18        4784488934        7336817        1.099752         0.999930
19        4784488936        7052669        1.099752         0.999224
20        4784488938        13985241        1.099752         0.999939
21        4784488940        12455228        1.099752         0.999958
22        4784488942        7514581        1.099752         0.999934

笑话！没有数据，只是滑滑的“精度”！

作者: yangchuanju 时间: 2026-9-14 05:23
100亿内整亿偶数哥猜数
偶数（1--100亿）哥猜数波动系数
100000000 291400 1.3333
200000000 538290 1.3333
300000000 1547388 2.6667
400000000 999700 1.3333
500000000 1219610 1.3333
600000000 2874881 2.6667
700000000 1979689 1.6000
800000000 1859646 1.3333
900000000 4132595 2.6667
1000000000 2274205 1.3333
1100000000 2748595 1.4815
1200000000 5352052 2.6667
1300000000 3137228 1.4545
1400000000 3688114 1.6000
1500000000 6543614 2.6667
1600000000 3467407 1.3333
1700000000 3904453 1.4222
1800000000 7709245 2.6667
1900000000 4284979 1.4118
2000000000 4238417 1.3333
2100000000 10629971 3.2000
2200000000 5134372 1.4815
2300000000 5039234 1.3968
2400000000 9992839 2.6667
2500000000 5185533 1.3333
2600000000 5859790 1.4545
2700000000 11116031 2.6667
2800000000 6894453 1.6000
2900000000 6148656 1.3827
3000000000 12224533 2.6667
3100000000 6511564 1.3793
3200000000 6478775 1.3333
3300000000 14804731 2.9630
3400000000 7299554 1.4222
3500000000 8434100 1.6000
3600000000 14415400 2.6667
3700000000 7599208 1.3714
3800000000 8012125 1.4118
3900000000 16906288 2.9091
4000000000 7930427 1.3333
4100000000 8314407 1.3675
4200000000 19883421 3.2000
4300000000 8667672 1.3659
4400000000 9603218 1.4815
4500000000 17642968 2.6667
4600000000 9425212 1.3968
4700000000 9378444 1.3630
4800000000 18704238 2.6667
4900000000 11434201 1.6000
5000000000 9703556 1.3333
5100000000 21074753 2.8444
5200000000 10965645 1.4545
5300000000 10432025 1.3595
5400000000 20806971 2.6667
5500000000 11751032 1.4815
5600000000 12902169 1.6000
5700000000 23138994 2.8235
5800000000 11513223 1.3827
5900000000 11470516 1.3567
6000000000 22899781 2.6667
6100000000 11818360 1.3559
6200000000 12198951 1.3793
6300000000 28716471 3.2000
6400000000 12138392 1.3333
6500000000 13427034 1.4545
6600000000 27736743 2.9630
6700000000 12850259 1.3538
6800000000 13679782 1.4222
6900000000 27222854 2.7937
7000000000 15799407 1.6000
7100000000 13531786 1.3527
7200000000 27011820 2.6667
7300000000 13870610 1.3521
7400000000 14241533 1.3714
7500000000 28031543 2.6667
7600000000 15018224 1.4118
7700000000 19135150 1.7778
7800000000 31686056 2.9091
7900000000 14883005 1.3506
8000000000 14862150 1.3333
8100000000 30063256 2.6667
8200000000 15586610 1.3675
8300000000 15553036 1.3498
8400000000 37285242 3.2000
8500000000 16751667 1.4222
8600000000 16258121 1.3659
8700000000 33262802 2.7654
8800000000 18008203 1.4815
8900000000 16557548 1.3487
9000000000 33076258 2.6667
9100000000 21870485 1.7455
9200000000 17675475 1.3968
9300000000 35257514 2.7586
9400000000 17590961 1.3630
9500000000 18395699 1.4118
9600000000 35075543 2.6667
9700000000 17886783 1.3474
9800000000 21437787 1.6000
9900000000 40070955 2.9630
10000000000 18200488 1.3333
最小 291400 1.3333
最大 40070955 3.2000

作者: yangchuanju 时间: 2026-9-14 05:24
100亿内整亿偶数哈李对数式计算值
偶数（1--100亿）哥猜数哈李对数哥哈李哥/真哥
100000000 291400 259404.67 0.8902
200000000 538290 481863.23 0.8952
300000000 1547388 1386156.35 0.8958
400000000 999700 897455.28 0.8977
500000000 1219610 1096963.30 0.8994
600000000 2874881 2585430.61 0.8993
700000000 1979689 1782509.05 0.9004
800000000 1859646 1675584.06 0.9010
900000000 4132595 3727113.01 0.9019
1000000000 2274205 2049617.13 0.9012
1100000000 2748595 2482202.86 0.9031
1200000000 5352052 4833654.78 0.9031
1300000000 3137228 2834503.67 0.9035
1400000000 3688114 3334206.46 0.9040
1500000000 6543614 5915120.10 0.9040
1600000000 3467407 3135546.17 0.9043
1700000000 3904453 3533375.22 0.9050
1800000000 7709245 6977210.74 0.9050
1900000000 4284979 3879320.49 0.9053
2000000000 4238417 3838182.90 0.9056
2100000000 10629971 9628301.17 0.9058
2200000000 5134372 4649635.48 0.9056
2300000000 5039234 4564329.20 0.9058
2400000000 9992839 9056778.78 0.9063
2500000000 5185533 4699292.00 0.9062
2600000000 5859790 5312286.38 0.9066
2700000000 11116031 10078653.82 0.9067
2800000000 6894453 6250210.97 0.9066
2900000000 6148656 5576318.91 0.9069
3000000000 12224533 11090627.94 0.9072
3100000000 6511564 5909975.27 0.9076
3200000000 6478775 5880168.77 0.9076
3300000000 14804731 13437574.52 0.9077
3400000000 7299554 6627424.94 0.9079
3500000000 8434100 7654908.37 0.9076
3600000000 14415400 13089120.90 0.9080
3700000000 7599208 6901337.95 0.9082
3800000000 8012125 7278695.36 0.9085
3900000000 16906288 15357032.06 0.9084
4000000000 7930427 7202593.78 0.9082
4100000000 8314407 7555072.68 0.9087
4200000000 19883421 18070693.49 0.9088
4300000000 8667672 7880001.32 0.9091
4400000000 9603218 8727760.50 0.9088
4500000000 17642968 16034541.10 0.9088
4600000000 9425212 8568736.49 0.9091
4700000000 9378444 8526279.64 0.9091
4800000000 18704238 17004619.14 0.9091
4900000000 11434201 10396088.22 0.9092
5000000000 9703556 8824224.16 0.9094
5100000000 21074753 19167504.68 0.9095
5200000000 10965645 9976411.48 0.9098
5300000000 10432025 9487510.19 0.9095
5400000000 20806971 18929632.06 0.9098
5500000000 11751032 10693692.29 0.9100
5600000000 12902169 11740301.18 0.9099
5700000000 23138994 21054927.67 0.9099
5800000000 11513223 10475514.58 0.9099
5900000000 11470516 10439940.86 0.9102
6000000000 22899781 20836535.23 0.9099
6100000000 11818360 10755631.04 0.9101
6200000000 12198951 11104401.43 0.9103
6300000000 28716471 26140617.96 0.9103
6400000000 12138392 11049382.68 0.9103
6500000000 13427034 12225418.91 0.9105
6600000000 27736743 25252626.00 0.9104
6700000000 12850259 11697768.16 0.9103
6800000000 13679782 12455658.68 0.9105
6900000000 27222854 24794287.57 0.9108
7000000000 15799407 14387884.92 0.9107
7100000000 13531786 12322012.39 0.9106
7200000000 27011820 24603757.64 0.9109
7300000000 13870610 12633051.58 0.9108
7400000000 14241533 12973502.64 0.9110
7500000000 28031543 25536973.28 0.9110
7600000000 15018224 13683888.41 0.9112
7700000000 19135150 17438249.83 0.9113
7800000000 31686056 28873165.30 0.9112
7900000000 14883005 13562087.90 0.9112
8000000000 14862150 13542732.38 0.9112
8100000000 30063256 27394177.19 0.9112
8200000000 15586610 14206447.04 0.9115
8300000000 15553036 14178231.63 0.9116
8400000000 37285242 33982109.33 0.9114
8500000000 16751667 15267141.87 0.9114
8600000000 16258121 14819370.37 0.9115
8700000000 33262802 30322884.88 0.9116
8800000000 18008203 16414722.01 0.9115
8900000000 16557548 15097960.20 0.9118
9000000000 33076258 30158784.31 0.9118
9100000000 21870485 19940400.86 0.9117
9200000000 17675475 16117587.32 0.9119
9300000000 35257514 32146657.31 0.9118
9400000000 17590961 16038662.86 0.9118
9500000000 18395699 16774207.48 0.9119
9600000000 35075543 31988970.00 0.9120
9700000000 17886783 16316495.12 0.9122
9800000000 21437787 19558138.17 0.9123
9900000000 40070955 36556082.26 0.9123
10000000000 18200488 16601898.72 0.9122
最小 291400 259404.67 0.8902
最大 40070955 36556082.26 0.9123

作者: yangchuanju 时间: 2026-9-14 05:25
100亿内整亿偶数素数连乘积计算值
偶数（1--100亿）哥猜数平方根根内最大素数连乘积连乘哥连乘哥/真哥
100000000 291400 10000.00 9973 0.009789 326294.41 1.1197
200000000 538290 14142.14 14107 0.009102 606825.53 1.1273
300000000 1547388 17320.51 17317 0.008730 1745925.01 1.1283
400000000 999700 20000.00 19997 0.008478 1130409.75 1.1307
500000000 1219610 22360.68 22349 0.008288 1381323.69 1.1326
600000000 2874881 24494.90 24481 0.008137 3254828.50 1.1322
700000000 1979689 26457.51 26449 0.008017 2244849.16 1.1339
800000000 1859646 28284.27 28283 0.007916 2110925.11 1.1351
900000000 4132595 30000.00 29989 0.007827 4696008.38 1.1363
1000000000 2274205 31622.78 31607 0.007748 2582599.55 1.1356
1100000000 2748595 33166.25 33161 0.007675 3126844.69 1.1376
1200000000 5352052 34641.02 34631 0.007610 6087674.57 1.1374
1300000000 3137228 36055.51 36037 0.007554 3570891.81 1.1382
1400000000 3688114 37416.57 37409 0.007500 4199839.56 1.1387
1500000000 6543614 38729.83 38729 0.007452 7452188.04 1.1388
1600000000 3467407 40000.00 39989 0.007407 3950140.33 1.1392
1700000000 3904453 41231.06 41231 0.007365 4451782.69 1.1402
1800000000 7709245 42426.41 42409 0.007324 8788393.24 1.1400
1900000000 4284979 43588.99 43579 0.007288 4887209.73 1.1405
2000000000 4238417 44721.36 44711 0.007252 4834917.11 1.1407
2100000000 10629971 45825.76 45823 0.007221 12131349.03 1.1412
2200000000 5134372 46904.16 46901 0.007190 5858494.44 1.1410
2300000000 5039234 47958.32 47951 0.007161 5751488.91 1.1413
2400000000 9992839 48989.79 48989 0.007134 11414109.14 1.1422
2500000000 5185533 50000.00 49999 0.007105 5921108.32 1.1419
2600000000 5859790 50990.20 50989 0.007081 6694383.55 1.1424
2700000000 11116031 51961.52 51949 0.007055 12698620.68 1.1424
2800000000 6894453 52915.03 52903 0.007032 7876090.33 1.1424
2900000000 6148656 53851.65 53849 0.007010 7026904.64 1.1428
3000000000 12224533 54772.26 54767 0.006987 13974867.68 1.1432
3100000000 6511564 55677.64 55673 0.006967 7447989.06 1.1438
3200000000 6478775 56568.54 56543 0.006946 7409227.96 1.1436
3300000000 14804731 57445.63 57427 0.006925 16927724.28 1.1434
3400000000 7299554 58309.52 58309 0.006906 8348420.71 1.1437
3500000000 8434100 59160.80 59159 0.006887 9642240.39 1.1432
3600000000 14415400 60000.00 59999 0.006870 16487973.98 1.1438
3700000000 7599208 60827.63 60821 0.006853 8693749.19 1.1440
3800000000 8012125 61644.14 61643 0.006837 9170044.42 1.1445
3900000000 16906288 62449.98 62423 0.006823 19351258.75 1.1446
4000000000 7930427 63245.55 63241 0.006808 9077073.60 1.1446
4100000000 8314407 64031.24 64019 0.006791 9518893.19 1.1449
4200000000 19883421 64807.41 64793 0.006778 22774309.38 1.1454
4300000000 8667672 65574.39 65563 0.006763 9930533.87 1.1457
4400000000 9603218 66332.50 66301 0.006750 10999985.36 1.1454
4500000000 17642968 67082.04 67079 0.006736 20206910.23 1.1453
4600000000 9425212 67823.30 67819 0.006721 10796713.22 1.1455
4700000000 9378444 68556.55 68543 0.006709 10744754.05 1.1457
4800000000 18704238 69282.03 69263 0.006697 21430418.51 1.1458
4900000000 11434201 70000.00 69997 0.006686 13105414.44 1.1462
5000000000 9703556 70710.68 70709 0.006673 11122216.95 1.1462
5100000000 21074753 71414.28 71413 0.006660 24155006.52 1.1462
5200000000 10965645 72111.03 72109 0.006648 12570700.02 1.1464
5300000000 10432025 72801.10 72797 0.006637 11955875.89 1.1461
5400000000 20806971 73484.69 73483 0.006627 23855877.04 1.1465
5500000000 11751032 74161.98 74161 0.006616 13477136.87 1.1469
5600000000 12902169 74833.15 74831 0.006605 14794904.44 1.1467
5700000000 23138994 75498.34 75479 0.006595 26535305.82 1.1468
5800000000 11513223 76157.73 76157 0.006584 13201020.65 1.1466
5900000000 11470516 76811.46 76801 0.006575 13157614.25 1.1471
6000000000 22899781 77459.67 77447 0.006565 26261007.12 1.1468
6100000000 11818360 78102.50 78101 0.006555 13553970.04 1.1469
6200000000 12198951 78740.08 78737 0.006546 13994400.09 1.1472
6300000000 28716471 79372.54 79367 0.006537 32945637.35 1.1473
6400000000 12138392 80000.00 79999 0.006527 13924612.15 1.1472
6500000000 13427034 80622.58 80621 0.006519 15408255.88 1.1476
6600000000 27736743 81240.38 81239 0.006509 31819697.73 1.1472
6700000000 12850259 81853.53 81853 0.006500 14740636.33 1.1471
6800000000 13679782 82462.11 82457 0.006492 15695581.92 1.1474
6900000000 27222854 83066.24 83063 0.006483 31243186.69 1.1477
7000000000 15799407 83666.00 83663 0.006475 18129656.12 1.1475
7100000000 13531786 84261.50 84247 0.006467 15528202.17 1.1475
7200000000 27011820 84852.81 84827 0.006460 31006475.12 1.1479
7300000000 13870610 85440.04 85439 0.006452 15920864.44 1.1478
7400000000 14241533 86023.25 86017 0.006445 16351190.67 1.1481
7500000000 28031543 86602.54 86599 0.006436 32181099.89 1.1480
7600000000 15018224 87177.98 87151 0.006430 17247137.66 1.1484
7700000000 19135150 87749.64 87743 0.006421 21975229.04 1.1484
7800000000 31686056 88317.61 88301 0.006415 36392548.04 1.1485
7900000000 14883005 88881.94 88873 0.006409 17095021.80 1.1486
8000000000 14862150 89442.72 89431 0.006401 17070316.20 1.1486
8100000000 30063256 90000.00 89989 0.006394 34526570.85 1.1485
8200000000 15586610 90553.85 90547 0.006386 17903090.83 1.1486
8300000000 15553036 91104.34 91099 0.006380 17869980.84 1.1490
8400000000 37285242 91651.51 91639 0.006373 42828446.04 1.1487
8500000000 16751667 92195.44 92189 0.006367 19243042.28 1.1487
8600000000 16258121 92736.18 92723 0.006360 18675546.16 1.1487
8700000000 33262802 93273.79 93263 0.006353 38209963.53 1.1487
8800000000 18008203 93808.32 93787 0.006347 20686757.83 1.1487
8900000000 16557548 94339.81 94331 0.006341 19026655.48 1.1491
9000000000 33076258 94868.33 94849 0.006334 38004203.28 1.1490
9100000000 21870485 95393.92 95393 0.006328 25126505.34 1.1489
9200000000 17675475 95916.63 95911 0.006321 20308423.01 1.1490
9300000000 35257514 96436.51 96431 0.006316 40507252.03 1.1489
9400000000 17590961 96953.60 96953 0.006310 20209961.23 1.1489
9500000000 18395699 97467.94 97463 0.006304 21137581.17 1.1491
9600000000 35075543 97979.59 97973 0.006299 40311334.35 1.1493
9700000000 17886783 98488.58 98479 0.006293 20562829.97 1.1496
9800000000 21437787 98994.95 98993 0.006288 24647125.75 1.1497
9900000000 40070955 99498.74 99497 0.006282 46068625.76 1.1497
10000000000 18200488 100000.00 99991 0.006276 20921398.53 1.1495
最小 291400 10000 9973 0.006276 326294.41 1.1197
最大 40070955 100000 99991 0.009789 46068625.76 1.1497

作者: yangchuanju 时间: 2026-9-14 05:31
本帖最后由 yangchuanju 于 2026-9-14 06:28 编辑

100亿内整亿偶数杨修正后的哈李对数式值
（杨乘数=lg偶/(lg偶-0.878)）
偶数（1--100亿）哥猜数哈李对数哥杨乘数哈*杨/真哥
100000000 291400 259404.67 1.123280 0.999945
200000000 538290 481863.23 1.118281 1.001056
300000000 1547388 1386156.35 1.115540 0.999305
400000000 999700 897455.28 1.113671 0.999770
500000000 1219610 1096963.30 1.112262 1.000411
600000000 2874881 2585430.61 1.111137 0.999265
700000000 1979689 1782509.05 1.110203 0.999625
800000000 1859646 1675584.06 1.109407 0.999601
900000000 4132595 3727113.01 1.108714 0.999929
1000000000 2274205 2049617.13 1.108101 0.998671
1100000000 2748595 2482202.86 1.107553 1.000210
1200000000 5352052 4833654.78 1.107058 0.999829
1300000000 3137228 2834503.67 1.106606 0.999825
1400000000 3688114 3334206.46 1.106191 1.000042
1500000000 6543614 5915120.10 1.105807 0.999598
1600000000 3467407 3135546.17 1.105451 0.999650
1700000000 3904453 3533375.22 1.105119 1.000089
1800000000 7709245 6977210.74 1.104807 0.999900
1900000000 4284979 3879320.49 1.104514 0.999950
2000000000 4238417 3838182.90 1.104238 0.999965
2100000000 10629971 9628301.17 1.103976 0.999948
2200000000 5134372 4649635.48 1.103728 0.999525
2300000000 5039234 4564329.20 1.103492 0.999498
2400000000 9992839 9056778.78 1.103267 0.999921
2500000000 5185533 4699292.00 1.103052 0.999621
2600000000 5859790 5312286.38 1.102847 0.999803
2700000000 11116031 10078653.82 1.102650 0.999748
2800000000 6894453 6250210.97 1.102460 0.999443
2900000000 6148656 5576318.91 1.102279 0.999675
3000000000 12224533 11090627.94 1.102103 0.999876
3100000000 6511564 5909975.27 1.101935 1.000129
3200000000 6478775 5880168.77 1.101772 0.999974
3300000000 14804731 13437574.52 1.101614 0.999885
3400000000 7299554 6627424.94 1.101462 1.000042
3500000000 8434100 7654908.37 1.101315 0.999569
3600000000 14415400 13089120.90 1.101172 0.999859
3700000000 7599208 6901337.95 1.101033 0.999920
3800000000 8012125 7278695.36 1.100899 1.000123
3900000000 16906288 15357032.06 1.100768 0.999896
4000000000 7930427 7202593.78 1.100641 0.999627
4100000000 8314407 7555072.68 1.100518 1.000010
4200000000 19883421 18070693.49 1.100397 1.000077
4300000000 8667672 7880001.32 1.100280 1.000293
4400000000 9603218 8727760.50 1.100166 0.999872
4500000000 17642968 16034541.10 1.100055 0.999768
4600000000 9425212 8568736.49 1.099946 0.999993
4700000000 9378444 8526279.64 1.099840 0.999904
4800000000 18704238 17004619.14 1.099736 0.999805
4900000000 11434201 10396088.22 1.099635 0.999799
5000000000 9703556 8824224.16 1.099536 0.999896
5100000000 21074753 19167504.68 1.099439 0.999940
5200000000 10965645 9976411.48 1.099344 1.000170
5300000000 10432025 9487510.19 1.099251 0.999725
5400000000 20806971 18929632.06 1.099160 0.999987
5500000000 11751032 10693692.29 1.099071 1.000178
5600000000 12902169 11740301.18 1.098983 1.000017
5700000000 23138994 21054927.67 1.098898 0.999923
5800000000 11513223 10475514.58 1.098813 0.999775
5900000000 11470516 10439940.86 1.098731 1.000015
6000000000 22899781 20836535.23 1.098650 0.999663
6100000000 11818360 10755631.04 1.098571 0.999785
6200000000 12198951 11104401.43 1.098492 0.999930
6300000000 28716471 26140617.96 1.098416 0.999888
6400000000 12138392 11049382.68 1.098340 0.999801
6500000000 13427034 12225418.91 1.098266 0.999980
6600000000 27736743 25252626.00 1.098193 0.999839
6700000000 12850259 11697768.16 1.098122 0.999635
6800000000 13679782 12455658.68 1.098051 0.999793
6900000000 27222854 24794287.57 1.097982 1.000030
7000000000 15799407 14387884.92 1.097914 0.999826
7100000000 13531786 12322012.39 1.097846 0.999696
7200000000 27011820 24603757.64 1.097780 0.999915
7300000000 13870610 12633051.58 1.097715 0.999775
7400000000 14241533 12973502.64 1.097651 0.999919
7500000000 28031543 25536973.28 1.097587 0.999911
7600000000 15018224 13683888.41 1.097525 1.000012
7700000000 19135150 17438249.83 1.097464 1.000141
7800000000 31686056 28873165.30 1.097403 0.999982
7900000000 14883005 13562087.90 1.097343 0.999950
8000000000 14862150 13542732.38 1.097284 0.999871
8100000000 30063256 27394177.19 1.097226 0.999812
8200000000 15586610 14206447.04 1.097169 1.000017
8300000000 15553036 14178231.63 1.097112 1.000134
8400000000 37285242 33982109.33 1.097056 0.999867
8500000000 16751667 15267141.87 1.097001 0.999786
8600000000 16258121 14819370.37 1.096947 0.999873
8700000000 33262802 30322884.88 1.096893 0.999945
8800000000 18008203 16414722.01 1.096840 0.999785
8900000000 16557548 15097960.20 1.096788 1.000103
9000000000 33076258 30158784.31 1.096736 0.999999
9100000000 21870485 19940400.86 1.096685 0.999902
9200000000 17675475 16117587.32 1.096634 0.999979
9300000000 35257514 32146657.31 1.096585 0.999830
9400000000 17590961 16038662.86 1.096535 0.999772
9500000000 18395699 16774207.48 1.096486 0.999836
9600000000 35075543 31988970.00 1.096438 0.999954
9700000000 17886783 16316495.12 1.096391 1.000138
9800000000 21437787 19558138.17 1.096343 1.000217
9900000000 40070955 36556082.26 1.096297 1.000134
10000000000 18200488 16601898.72 1.096251 0.999965
最小 291400 259404.67 1.096251 0.998671
最大 40070955 36556082.26 1.123280 1.001056

作者: lusishun 时间: 2026-9-14 06:19
杨先生的工程量很大啊，100亿之后，还有千万亿，万万亿，千万万亿啊，永无止境，

作者: yangchuanju 时间: 2026-9-15 19:51
本帖最后由 yangchuanju 于 2026-9-15 19:57 编辑

2的1至50次方哥猜数
指数偶数单计哥猜数哥猜数增比
1 2 0 ——
2 4 1 ——
3 8 1 1.0000
4 16 2 2.0000
5 32 2 1.0000
6 64 5 2.5000
7 128 3 0.6000
8 256 8 2.6667
9 512 11 1.3750
10 1024 22 2.0000
11 2048 25 1.1364
12 4096 53 2.1200
13 8192 76 1.4340
14 16384 151 1.9868
15 32768 244 1.6159
16 65536 435 1.7828
17 131072 749 1.7218
18 262144 1314 1.7543
19 524288 2367 1.8014
20 1048576 4239 1.7909
21 2097152 7471 1.7624
22 4194304 13705 1.8344
23 8388608 24928 1.8189
24 16777216 45746 1.8351
25 33554432 83467 1.8246
26 67108864 153850 1.8432
27 134217728 283746 1.8443
28 268435456 525236 1.8511
29 536870912 975685 1.8576
30 1073741824 1817111 1.8624
31 2147483648 3390038 1.8656
32 4294967296 6341424 1.8706
33 8589934592 11891654 1.8752
34 17179869184 22336060 1.8783
35 34359738368 42034097 1.8819
36 68719476736 79287664 1.8863
37 137438953472 149711134 1.8882
38 274877906944 283277225 1.8922
39 549755813888 536710100 1.8946
40 1099511627776 1018369893 1.8974
41 2199023255552 1934814452 1.8999
42 4398046511104 3680759328 1.9024
43 8796093022208 7010898161 1.9047
44 17592186044416 13369466800 1.9070
45 35184372088832 25522944188 1.9090
46 70368744177664 48776696083 1.9111
47 140737488355328 93311971184 1.9130
48 281474976710656 178680063951 1.9149
49 562949953421312 342469661688 1.9167
50 1125899906842620 656978437719 1.9184
——最小 2 0.6000
——最大 656978437719 2.6667

作者: yangchuanju 时间: 2026-9-15 19:56
2的5至50次方哈李对数式计算值
指数偶数单计哥猜数哈李对数哥哈李哥/真哥
5 32 2 1.76 0.8794
6 64 5 2.44 0.4885
7 128 3 3.59 1.1964
8 256 8 5.50 0.6870
9 512 11 8.69 0.7896
10 1024 22 14.07 0.6396
11 2048 25 23.26 0.9303
12 4096 53 39.08 0.7374
13 8192 76 66.60 0.8764
14 16384 151 114.86 0.7607
15 32768 244 200.11 0.8201
16 65536 435 351.75 0.8086
17 131072 749 623.18 0.8320
18 262144 1314 1111.72 0.8461
19 524288 2367 1995.55 0.8431
20 1048576 4239 3601.96 0.8497
21 2097152 7471 6534.18 0.8746
22 4194304 13705 11907.32 0.8688
23 8388608 24928 21788.82 0.8741
24 16777216 45746 40021.83 0.8749
25 33554432 83467 73768.23 0.8838
26 67108864 153850 136405.75 0.8866
27 134217728 283746 252977.46 0.8916
28 268435456 525236 470460.64 0.8957
29 536870912 975685 877148.97 0.8990
30 1073741824 1817111 1639293.96 0.9021
31 2147483648 3390038 3070477.77 0.9057
32 4294967296 6341424 5763142.84 0.9088
33 8589934592 11891654 10838307.19 0.9114
34 17179869184 22336060 20420270.81 0.9142
35 34359738368 42034097 38540135.61 0.9169
36 68719476736 79287664 72857509.44 0.9189
37 137438953472 149711134 137944970.39 0.9214
38 274877906944 283277225 261560477.11 0.9233
39 549755813888 536710100 496638170.86 0.9253
40 1099511627776 1018369893 944233322.35 0.9272
41 2199023255552 1934814452 1797469739.16 0.9290
42 4398046511104 3680759328 3425789831.66 0.9307
43 8796093022208 7010898161 6536607099.03 0.9323
44 17592186044416 13369466800 12485729882.34 0.9339
45 35184372088832 25522944188 23873948693.55 0.9354
46 70368744177664 48776696083 45694467017.42 0.9368
47 140737488355328 93311971184 87541414403.67 0.9382
48 281474976710656 178680063951 167863701751.49 0.9395
49 562949953421312 342469661688 322164072332.72 0.9407
50 1125899906842620 656978437719 618812750136.69 0.9419
—— 最小 2 1.76 0.4885
—— 最大 656978437719 618812750136.69 1.1964

作者: yangchuanju 时间: 2026-9-15 20:00
2的5至50次方素数连乘积计算值
指数偶数单计哥猜数平方根根内最大素数连乘积连乘哥连乘哥/真哥
5 32 2 5.66 5 0.200000 1.60 0.8000
6 64 5 8.00 7 0.142857 2.29 0.4571
7 128 3 11.31 11 0.116883 3.74 1.2468
8 256 8 16.00 13 0.098901 6.33 0.7912
9 512 11 22.63 19 0.078080 9.99 0.9086
10 1024 22 32.00 31 0.062092 15.90 0.7225
11 2048 25 45.25 43 0.053271 27.27 1.0910
12 4096 53 64.00 61 0.045862 46.96 0.8861
13 8192 76 90.51 89 0.039103 80.08 1.0537
14 16384 151 128.00 127 0.034283 140.42 0.9300
15 32768 244 181.02 181 0.029726 243.52 0.9980
16 65536 435 256.00 251 0.026609 435.97 1.0022
17 131072 749 362.04 359 0.023620 773.97 1.0333
18 262144 1314 512.00 509 0.021043 1379.05 1.0495
19 524288 2367 724.08 719 0.019019 2492.87 1.0532
20 1048576 4239 1024.00 1021 0.017177 4502.75 1.0622
21 2097152 7471 1448.15 1439 0.015661 8210.96 1.0990
22 4194304 13705 2048.00 2039 0.014248 14940.18 1.0901
23 8388608 24928 2896.31 2887 0.013033 27332.03 1.0964
24 16777216 45746 4096.00 4093 0.011981 50250.88 1.0985
25 33554432 83467 5792.62 5791 0.011059 92768.98 1.1114
26 67108864 153850 8192.00 8191 0.010233 171677.74 1.1159
27 134217728 283746 11585.24 11579 0.009495 318591.20 1.1228
28 268435456 525236 16384.00 16381 0.008823 592129.21 1.1274
29 536870912 975685 23170.48 23167 0.008228 1104308.73 1.1318
30 1073741824 1817111 32768.00 32749 0.007695 2065494.79 1.1367
31 2147483648 3390038 46340.95 46337 0.007207 3869035.92 1.1413
32 4294967296 6341424 65536.00 65521 0.006765 7263389.60 1.1454
33 8589934592 11891654 92681.90 92681 0.006360 13658932.68 1.1486
34 17179869184 22336060 131072.00 131071 0.005992 25737053.31 1.1523
35 34359738368 42034097 185363.80 185363 0.005656 48581542.26 1.1558
36 68719476736 79287664 262144.00 262139 0.005346 91848699.97 1.1584
37 137438953472 149711134 370727.60 370723 0.005061 173898027.10 1.1616
38 274877906944 283277225 524288.00 524287 0.004798 329731632.49 1.1640
39 549755813888 536710100 741455.20 741431 0.004556 626130752.02 1.1666
40 1099511627776 1018369893 1048576.00 1048573 0.004331 1190494225.71 1.1690
41 2199023255552 1934814452 1482910.40 1482907 0.004122 2266230456.21 1.1713
42 4398046511104 3680759328 2097152.00 2097143 0.003928 4319337318.69 1.1735
43 8796093022208 7010898161 2965820.80 2965819 0.003748 8241765540.18 1.1756
44 17592186044416 13369466800 4194304.00 4194301 0.003580 15742830537.80 1.1775
45 35184372088832 25522944188 5931641.60 5931641 0.003422 30102287814.76 1.1794
46 70368744177664 48776696083 8388608.00 8388593 0.003275 57616182486.85 1.1812
47 140737488355328 93311971184 11863283.20 11863279
48 281474976710656 178680063951 16777216.00 16777213
49 562949953421312 342469661688 23726566.41 23726561
50 1125899906842620 656978437719 33554432.00 33554393
—— 最小 2 5.656854249 5 0.003275101 1.60 0.4571
—— 最大 656978437719 33554432 33554393 0.2 57616182486.85 1.2468

作者: yangchuanju 时间: 2026-9-16 05:43
对于一个给定的大偶数，它的哥德巴赫猜想分拆素数对数到底是多少，不知；
幸好哈李等数学先驱们研究出了一个渐进的函数式——2C*K*N/ln(N)^2（双计哥猜数），式中C是孪生素数常数，约等于0.6601618...，K是波动因子大于等于1；
当偶数不是很大时哈李对数式计算值与真实哥猜数的比不稳定，随着偶数的不断增大比值从零点八几逐渐增大到零点九几；
相信随着偶数的继续增大并在趋近于无穷大时，比值将趋近于1，亦即对数式计算值就是该偶数的哥德巴赫猜想的真实素数对数啦！

根据素数分率和双筛原理，先驱们多用连乘积计算给定偶数的哥猜数——N/2*∏(p-2)/p*∏(p-1)/(p-2)，式中第一个连乘积中的p取尽偶数N平方根内的所有奇素数，第二个连乘积中的p仅取N平方根内能够整除N的奇素数（计算对数计算式中的波动因子K）；
连乘积计算值一般是大于对应偶读的真实哥猜数的。
由于连乘积是一个从3开始的累乘值，很难计算出亿级偶数的连乘积，鄙人曾计算出亿内素数的连乘积，但精度无法保证；更大的素数连乘积没有见到过。
素数连乘积计算值与对应偶数的比值一般是大于1的，从一点零几逐渐增大到1.2607（或1.2609）；
又有人推测出当偶数趋近于无穷大时，连乘积计算值与对数式计算值之比是1.260947...。

据此当偶数较大（亿级至亿亿级）时对数式计算值除以1.2607（或1.2609）便可当作是对应偶数的哥猜素数对数啦！

作者: 时空伴随者 时间: 2026-9-16 11:18
2026-09-16 11:15:48
D(20190302000) = 38339933 [2, 2, 2, 2, 5, 5, 5, 11, 11, 83431]
D(20190302002) = 28298428 [2, 13, 421, 1844537]
D(20190302004) = 52371620 [2, 2, 3, 167, 173, 58237]
D(20190302006) = 33816811 [2, 7, 19, 37, 2051443]
D(20190302008) = 27679041 [2, 2, 2, 17, 373, 398011]
D(20190302010) = 69185548 [2, 3, 3, 5, 389, 576701]
D(20190302012) = 26086077 [2, 2, 127, 39744689]
D(20190302014) = 27465892 [2, 23, 89, 617, 7993]
D(20190302016) = 51758817 [2, 2, 2, 2, 2, 2, 3, 105157823]
D(20190302018) = 26450863 [2, 47, 214790447]
D(20190302020) = 41458126 [2, 2, 5, 7, 7, 887, 23227]
D(20190302022) = 57507233 [2, 3, 11, 9887, 30941]
D(20190302024) = 25877519 [2, 2, 2, 20071, 125743]
D(20190302026) = 25879563 [2, 45061, 224033]
D(20190302028) = 56463714 [2, 2, 3, 3, 3, 3, 13, 4793519]
D(20190302030) = 34698547 [2, 5, 181, 11154863]
D(20190302032) = 25922377 [2, 2, 2, 2, 523, 2412799]
D(20190302034) = 62116786 [2, 3, 7, 11251, 42727]
D(20190302036) = 25875986 [2, 2, 5047575509]
D(20190302038) = 26310930 [2, 61, 165494279]
用时 2800.34938 秒

作者: lusishun 时间: 2026-9-16 11:38
根据时空伴随者的上述数据，
预测：大于200亿的偶数的哥猜素数对不少于2580万对。

作者: yangchuanju 时间: 2026-9-16 12:08
本帖最后由 yangchuanju 于 2026-9-16 12:10 编辑

时空伴随者发表于 2026-9-16 11:18
2026-09-16 11:15:48
D(20190302000) = 38339933 [2, 2, 2, 2, 5, 5, 5, 11, 11, 83431]
D(20190302002) ...

鄙人已经计算出偶数112--110000002的哥猜数，加上时空老师计算的1100000002（11亿零2）的哥猜数，
列出按哈李对数式【0.660161816*波动因子*N/ln(N)^2】计算的哥猜数，以及哈李哥猜数与真实哥猜数的比值（从0.5693逐渐增大到0.9026），如下表；
如果在11亿零2中间再加1个0，2个0，3个0，……，它们的哥猜数是多少？哈哥与真哥的比值能够趋近于1吗？
烦请时空伴随者老师忙中加班算一算表中缺少的哥猜数，多多益善！
（对于15位、16位偶数要计算出它们的真实哥猜数可能非常费时，计算11至13位偶数的哥猜数，老师可能手到擒来。）
至此学生先行致谢啦！

位数偶数分解式波动因子哥猜数哈李对数哥哈哥/真哥
3 112 2*2*2*2*7 1.200000 7 3.985125095 0.569304
4 1102 2*19*29 1.098039 24 16.27976757 0.678324
5 11002 2*5501 1.000000 103 83.87095591 0.814281
6 110002 2*55001 1.000000 636 538.9111766 0.847345
7 1100002 2*17*32353 1.066667 4674 4002.828448 0.856403
8 11000002 2*13*43*9839 1.117517 35233 30870.85394 0.876191
9 110000002 2*7*7*1122449 1.200000 285334 254173.5887 0.890793
10 1100000002 2*550000001 1.000000 1856261 1675486.935 0.902614
11 11000000002 2*59*6793*13723 1.017768 ？ 13825235.62 ？
12 110000000002 2*55000000001 1.000000 ？ 112347651.2 ？
13 1100000000002 2*669989*820909 1.000003 ？ 944625025.5 ？
14 11000000000002 2*13*89*521*9124133 1.105574 ？ 8903314834 ？
15 110000000000002 2*7*2731*2877020453 1.200440 ？ 83393402935 ？
16 1100000000000002 2*31*1427*12433031173 1.035209 ？ 6.26706E+11 ？

作者: 时空伴随者 时间: 2026-9-16 14:45
多加个0，时间约增10倍。
2026-09-16 14:42:40
D(11000000002) = 15150929 [2, 59, 6793, 13723]
D(11000000004) = 35748461 [2, 2, 3, 7, 7, 2221, 8423]
D(11000000006) = 14981644 [2, 179, 1693, 18149]
D(11000000008) = 15878834 [2, 2, 2, 17, 80882353]
D(11000000010) = 44006257 [2, 3, 5, 23, 31, 31, 53, 313]
用时 1741.17908 秒

作者: 时空伴随者 时间: 2026-9-16 16:58
python 程序片段：
# 求n开始的c个偶数的哥猜数
n, c = 110000000002, 5
d = Goldbach(n, c)
for i in range(c):
      j = n + 2 * i
      f = pollardRho(j)
      print(f'D({j}) = {d[i]} \t{f}')
      # if i % 6 == 5: print()
print()

作者: lusishun 时间: 2026-9-16 17:50
各位计算大神，太棒了。有了程序，无止无休啊？别太累了。

作者: 时空伴随者 时间: 2026-9-16 21:52
2026-09-16 14:46:59
D(110000000002) = 122052830 [2, 55000000001]
D(110000000004) = 250274235 [2, 2, 3, 47, 331, 589231]
D(110000000006) = 133138114 [2, 13, 13, 325443787]
D(110000000008) = 129058446 [2, 2, 2, 23, 109, 5484643]
D(110000000010) = 325654240 [2, 3, 5, 1523, 2407529]
用时 11645.21406 秒

作者: yangchuanju 时间: 2026-9-17 03:47

时空伴随者发表于 2026-9-16 21:52
2026-09-16 14:46:59
D(110000000002) = 122052830 [2, 55000000001]
D(110000000004) = 250274235 [2, ...

学生知道计算大偶数的哥猜数特别费时，只想请老师算一算——
在11亿零2中间再加1个0，2个0，3个0，……，它们的哥猜数是多少？

不料老师花费半小时计算了110亿零2至110亿零10的哥猜数，
又花费3个半小时计算了1100亿零2至1100亿零10的哥猜数，
确实费时太多啦！再次致谢！

【附注】学生手中的免费计算软件计算一个1亿上下的哥猜数就要几十分钟，计算一个10亿上下偶数的哥猜数要数小时，软件太老了，太慢了。
早年似曾给愚公（奚）老师索要他的快速软件，他说黄博士不让外传，就此罢事。
李老师的计算程序学生用不了，学生的笔记本也容纳不了，故此才请李老师算几个大偶数！

作者: yangchuanju 时间: 2026-9-17 04:00
本帖最后由 yangchuanju 于 2026-9-17 04:04 编辑

加上时空伴随者计算的110亿零2/1100亿零2后的哈李对数式哥猜数计算表

位数偶数分解式波动因子哥猜数哈李对数哥哈哥/真哥
3 112 2*2*2*2*7 1.200000 7 3.985125095 0.569304
4 1102 2*19*29 1.098039 24 16.27976757 0.678324
5 11002 2*5501 1.000000 103 83.87095591 0.814281
6 110002 2*55001 1.000000 636 538.9111766 0.847345
7 1100002 2*17*32353 1.066667 4674 4002.828448 0.856403
8 11000002 2*13*43*9839 1.117517 35233 30870.85394 0.876191
9 110000002 2*7*7*1122449 1.200000 285334 254173.5887 0.890793
10 1100000002 2*550000001 1.000000 1856261 1675486.935 0.902614
11 11000000002 2*59*6793*13723 1.017768 15150929 13825235.62 0.912501
12 110000000002 2*55000000001 1.000000 122052830 112347651.2 0.920484
13 1100000000002 2*669989*820909 1.000003 ？ 944625025.5 ？
14 11000000000002 2*13*89*521*9124133 1.105574 ？ 8903314834 ？
15 110000000000002 2*7*2731*2877020453 1.200440 ？ 83393402935 ？
16 1100000000000002 2*31*1427*12433031173 1.035209 ？ 6.26706E+11 ？

作者: yangchuanju 时间: 2026-9-17 04:12
再来几组小偶数的哥猜数

位数偶数分解式波动因子哥猜数哈李对数哥哈哥/真哥
1 8 2*2*2 1.000000 1 1.22 1.2214
2 98 2*7*7 1.200000 3 3.69 1.2310
3 998 2*499 1.000000 17 13.82 0.8127
4 9998 2*4999 1.000000 99 77.81 0.7860
5 99998 2*49999 1.000000 605 498.05 0.8232
6 999998 2*31*127*127 1.042759 4206 3606.61 0.8575
7 9999998 2*4999999 1.000000 28983 25411.07 0.8768
8 99999998 2*7*23*310559 1.257143 274787 244581.54 0.8901
9 999999998 2*691*723589 1.001451 1705026 1539443.92 0.9029
10 9999999998 2*17*14033*20959 1.066794 ———— 13283099.36 ——

位数偶数分解式波动因子哥猜数哈李对数哥哈哥/真哥
2 12 2*2*3 2.000000 1 2.57 2.5659
3 102 2*3*17 2.000000 8 6.30 0.7870
4 1002 2*3*167 2.000000 36 27.71 0.7697
5 10002 2*3*1667 2.000000 197 155.67 0.7902
6 100002 2*3*7*2381 2.400000 1423 1195.36 0.8400
7 1000002 2*3*166667 2.000000 8200 6917.47 0.8436
8 10000002 2*3*47*35461 2.044444 59624 51951.53 0.8713
9 100000002 2*3*19*739*1187 2.122310 464621 412902.82 0.8887
10 1000000002 2*3*43*983*3943 2.051389 3496205 3153422.05 0.9020
11 10000000002 2*3*1666666667 2.000000 ———— 24902848.09 ——

指数偶数分解式波动因子哥猜数哈李对数哥哈哥/真哥
2 2 2 is prime 1.000000 0 2.75 ——
3 6 2*3 1.000000 1 1.23 1.2338
4 14 2*7 1.000000 2 1.33 0.6635
5 30 2*3*5 2.666667 3 4.57 1.5218
6 62 2*31 1.000000 3 2.40 0.8010
7 126 2*3*3*7 2.400000 10 8.54 0.8535
8 254 2*127 1.000000 9 5.47 0.6076
9 510 2*3*5*17 2.844444 32 24.64 0.7700
10 1022 2*7*73 1.200000 18 16.86 0.9367
11 2046 2*3*11*31 2.298851 75 53.42 0.7123
12 4094 2*23*89 1.047619 51 40.93 0.8025
13 8190 2*3*3*5*7*13 2.909091 292 193.72 0.6634
14 16382 2*8191 1.000000 141 114.85 0.8145
15 32766 2*3*43*127 2.065171 518 413.24 0.7978
16 65534 2*7*31*151 1.249711 534 439.58 0.8232
17 131070 2*3*5*17*257 2.855599 2167 1779.52 0.8212
18 262142 2*131071 1.000000 1293 1111.71 0.8598
19 524286 2*3*3*3*7*19*73 2.576968 6055 5142.45 0.8493
20 1048574 2*524287 1.000000 4319 3601.96 0.8340
21 2097150 2*3*5*5*11*31*41 3.143727 23899 20541.65 0.8595
22 4194302 2*7*7*127*337 1.213211 16589 14446.08 0.8708
23 8388606 2*3*23*89*683 2.122415 53108 46244.91 0.8708
24 16777214 2*47*178481 1.022222 46683 40911.19 0.8764
25 33554430 2*3*3*5*7*13*17*241 3.739216 312340 275835.36 0.8831
26 67108862 2*31*601*1801 1.036786 159483 141423.53 0.8868
27 134217726 2*3*2731*8191 2.000977 567857 506202.13 0.8914
28 268435454 2*7*73*262657 1.216901 639256 572504.21 0.8956
29 536870910 2*3*5*29*43*113*127 2.881270 2810965 2527303.30 0.8991
30 1073741822 2*233*1103*2089 1.005723 1826974 1648675.43 0.9024

指数偶数分解式波动因子哥猜数哈李对数哥哈哥/真哥
2 6 2*3 1.000000 1 1.23 1.2338
3 10 2*5 1.000000 2 1.25 0.6226
4 18 2*3*3 2.000000 2 2.84 1.4224
5 34 2*17 1.000000 4 1.80 0.4512
6 66 2*3*11 2.000000 6 4.96 0.8274
7 130 2*5*13 1.333333 7 4.83 0.6899
8 258 2*3*43 2.000000 14 11.05 0.7891
9 514 2*257 1.000000 14 8.71 0.6220
10 1026 2*3*3*3*19 2.117647 42 29.84 0.7104
11 2050 2*5*5*41 1.367521 42 31.83 0.7578
12 4098 2*3*683 2.000000 102 78.20 0.7666
13 8194 2*17*241 1.066667 97 71.06 0.7326
14 16386 2*3*2731 2.000000 258 229.74 0.8905
15 32770 2*5*29*113 1.395173 344 279.20 0.8116
16 65538 2*3*3*11*331 2.222222 929 781.70 0.8414
17 131074 2*65537 1.000000 768 623.19 0.8114
18 262146 2*3*43691 2.000000 2661 2223.45 0.8356
19 524290 2*5*13*37*109 1.510086 3612 3013.46 0.8343
20 1048578 2*3*174763 2.000000 8444 7203.94 0.8531
21 2097154 2*17*61681 1.066667 8118 6969.79 0.8586
22 4194306 2*3*3*43*5419 2.048780 28017 24395.49 0.8707
23 8388610 2*5*397*2113 1.337342 33378 29139.11 0.8730
24 16777218 2*3*2796203 2.000000 91210 80043.66 0.8776
25 33554434 2*97*257*673 1.016001 84870 74948.60 0.8831
26 67108866 2*3*11*251*4051 2.231698 342981 304416.42 0.8876
27 134217730 2*5*53*157*1613 1.369097 388509 346350.76 0.8915
28 268435458 2*3*3*3*3*19*87211 2.117647 1113342 996269.60 0.8948
29 536870914 2*17*15790321 1.066667 1041368 935625.57 0.8985
30 1073741826 2*3*59*3033169 2.035088 3698190 3336107.02 0.9021

作者: yangchuanju 时间: 2026-9-17 04:14
再来几组小偶数的哥猜数
位数偶数哥猜数根内大素连乘积连乘哥连乘哥/真哥连乘哥/哈哥
1 8 1 2 0.500000 1.00 1.0000 0.8188
2 98 3 7 0.142857 4.20 1.4000 1.1373
3 998 17 31 0.062092 15.49 0.9113 1.1214
4 9998 99 97 0.038297 95.72 0.9669 1.2302
5 99998 605 313 0.024612 615.28 1.0170 1.2354
6 999998 4206 997 0.017313 4513.21 1.0730 1.2514
7 9999998 28983 3137 0.012793 31981.70 1.1035 1.2586
8 99999998 274787 9973 0.009789 307649.01 1.1196 1.2579
9 999999998 1705026 31607 0.007748 1939760.91 1.1377 1.2600
10 9999999998 ———— 99991 0.006276 16739110.38 —— 1.2602

位数偶数哥猜数根内大素连乘积连乘哥连乘哥/真哥连乘哥/哈哥
2 12 1 3 0.333333 2.00 2.0000 0.7795
3 102 8 7 0.142857 7.29 0.9107 1.1572
4 1002 36 31 0.062092 31.11 0.8641 1.1227
5 10002 197 97 0.038297 191.52 0.9722 1.2303
6 100002 1423 313 0.024612 1476.73 1.0378 1.2354
7 1000002 8200 997 0.017313 8656.33 1.0557 1.2514
8 10000002 59624 3137 0.012793 65384.84 1.0966 1.2586
9 100000002 464621 9973 0.009789 519373.39 1.1178 1.2579
10 1000000002 3496205 31607 0.007748 3973437.91 1.1365 1.2600
11 10000000002 ———— 99991 0.006276 31382097.80 —— ——

指数偶数哥猜数根内大素连乘积连乘哥连乘哥/真哥连乘哥/哈哥
2 2 0 1 1.000000 0.50 #DIV/0! 0.1819
3 6 1 1 1.000000 1.50 1.5000 1.2158
4 14 2 3 0.333333 1.17 0.5833 0.8792
5 30 3 5 0.200000 4.00 1.3333 0.8762
6 62 3 7 0.142857 2.21 0.7381 0.9215
7 126 10 11 0.116883 8.84 0.8836 1.0353
8 254 9 13 0.098901 6.28 0.6978 1.1484
9 510 32 19 0.078080 28.32 0.8849 1.1493
10 1022 18 31 0.062092 19.04 1.0576 1.1291
11 2046 75 43 0.053271 62.64 0.8352 1.1725
12 4094 51 61 0.045862 49.17 0.9642 1.2014
13 8190 292 89 0.039103 232.91 0.7976 1.2023
14 16382 141 127 0.034283 140.41 0.9958 1.2225
15 32766 518 181 0.029726 502.87 0.9708 1.2169
16 65534 534 251 0.026609 544.82 1.0203 1.2394
17 131070 2167 359 0.023620 2210.11 1.0199 1.2420
18 262142 1293 509 0.021043 1379.04 1.0665 1.2405
19 524286 6055 719 0.019019 6424.03 1.0609 1.2492
20 1048574 4319 1021 0.017177 4502.75 1.0425 1.2501
21 2097150 23899 1439 0.015661 25812.99 1.0801 1.2566
22 4194302 16589 2039 0.014248 18125.58 1.0926 1.2547
23 8388606 53108 2887 0.013033 58009.91 1.0923 1.2544
24 16777214 46683 4093 0.011981 51367.56 1.1003 1.2556
25 33554430 312340 5791 0.011059 346883.26 1.1106 1.2576
26 67108862 159483 8191 0.010233 177993.03 1.1161 1.2586
27 134217726 567857 11579 0.009495 637493.72 1.1226 1.2594
28 268435454 639256 16381 0.008823 720562.86 1.1272 1.2586
29 536870910 2810965 23167 0.008228 3181811.97 1.1319 1.2590
30 1073741822 1826974 32749 0.007695 2077315.35 1.1370 1.2600

指数偶数哥猜数根内大素连乘积连乘哥连乘哥/真哥连乘哥/哈哥
2 6 1 2 0.500000 0.75 0.7500 0.6079
3 10 2 3 0.333333 0.83 0.4167 0.6693
4 18 2 3 0.333333 3.00 1.5000 1.0546
5 34 4 5 0.200000 1.70 0.4250 0.9418
6 66 6 7 0.142857 4.71 0.7857 0.9496
7 130 7 11 0.116883 5.06 0.7236 1.0487
8 258 14 13 0.098901 12.76 0.9113 1.1549
9 514 14 19 0.078080 10.03 0.7167 1.1521
10 1026 42 31 0.062092 33.73 0.8030 1.1304
11 2050 42 43 0.053271 37.34 0.8889 1.1731
12 4098 102 61 0.045862 93.97 0.9213 1.2017
13 8194 97 89 0.039103 85.44 0.8809 1.2024
14 16386 258 127 0.034283 280.88 1.0887 1.2226
15 32770 344 181 0.029726 339.77 0.9877 1.2169
16 65538 929 251 0.026609 968.85 1.0429 1.2394
17 131074 768 359 0.023620 773.98 1.0078 1.2420
18 262146 2661 509 0.021043 2758.12 1.0365 1.2405
19 524290 3612 719 0.019019 3764.47 1.0422 1.2492
20 1048578 8444 1021 0.017177 9005.53 1.0665 1.2501
21 2097154 8118 1439 0.015661 8758.36 1.0789 1.2566
22 4194306 28017 2039 0.014248 30609.17 1.0925 1.2547
23 8388610 33378 2887 0.013033 36552.29 1.0951 1.2544
24 16777218 91210 4093 0.011981 100501.77 1.1019 1.2556
25 33554434 84870 5791 0.011059 94253.39 1.1106 1.2576
26 67108866 342981 8191 0.010233 383132.85 1.1171 1.2586
27 134217730 388509 11579 0.009495 436182.35 1.1227 1.2594
28 268435458 1113342 16381 0.008823 1253920.69 1.1263 1.2586
29 536870914 1041368 23167 0.008228 1177929.31 1.1311 1.2590
30 1073741826 3698190 32749 0.007695 4203463.10 1.1366 1.2600

作者: yangchuanju 时间: 2026-9-17 04:17
再来几组小偶数的哥猜数
位数偶数模30 波动因子哥猜数吴Fj 吴系数1 吴系数2 吴哥吴哥/真哥
1 8 8 1.000000 1 1.0000 0.625 1.4809 1.71 1.7124
2 98 8 1.200000 3 1.0000 0.625 1.2181 3.55 1.1830
3 998 8 1.000000 17 1.5000 0.625 1.2172 15.92 0.9365
4 9998 8 1.000000 99 2.2500 0.625 1.2443 91.66 0.9259
5 99998 8 1.000000 605 2.6667 0.625 1.2316 580.74 0.9599
6 999998 8 1.042759 4206 2.9333 0.625 1.2123 3969.75 0.9438
7 9999998 8 1.000000 28983 3.0958 0.625 1.1921 28678.40 0.9895
8 99999998 8 1.257143 274787 3.1968 0.625 1.1735 216156.33 0.7866
9 999999998 8 1.001451 1705026 3.2591 0.625 1.1573 1684212.28 0.9878
10 9999999998 8 1.066794 ———— 3.2976 0.625 1.1432 13476448.83 ——

位数偶数模30 波动因子哥猜数吴Fj 吴系数1 吴系数2 吴哥吴哥/真哥
2 12 12 2.000000 1 1.0000 1.250 1.4024 3.41 3.4068
3 102 12 2.000000 8 1.5000 1.250 1.3243 7.89 0.9867
4 1002 12 2.000000 36 2.2500 1.250 1.3256 34.78 0.9660
5 10002 12 2.000000 197 2.6667 1.250 1.2895 190.04 0.9647
6 100002 12 2.400000 1423 2.9333 1.250 1.2548 1183.36 0.8316
7 1000002 12 2.000000 8200 3.0958 1.250 1.2241 8016.56 0.9776
8 10000002 12 2.044444 59624 3.1968 1.250 1.1983 57658.21 0.9670
9 100000002 12 2.122310 464621 3.2591 1.250 1.1769 433557.99 0.9331
10 1000000002 12 2.051389 3496205 3.2976 1.250 1.1591 3373834.23 0.9650
11 10000000002 12 2.000000 ———— 3.3214 1.250 1.1442 26977263.52 ——

指数偶数模30 波动因子哥猜数吴Fj 吴系数1 吴系数2 吴哥吴哥/真哥
2 2 2 1.000000 0 1.0000 0.625 2.4427 6.36 #DIV/0!
3 6 6 1.000000 1 1.0000 1.250 1.5581 3.64 3.6400
4 14 14 1.000000 2 1.0000 0.625 1.3789 1.73 0.8662
5 30 0 2.666667 3 1.0000 1.667 1.2940 5.59 1.8643
6 62 2 1.000000 3 1.0000 0.625 1.2423 2.83 0.9421
7 126 6 2.400000 10 1.5000 1.250 1.3102 8.82 0.8822
8 254 14 1.000000 9 1.5000 0.625 1.2709 6.58 0.7311
9 510 0 2.844444 32 1.5000 1.667 1.2406 27.13 0.8478
10 1022 2 1.200000 18 2.2500 0.625 1.3247 17.62 0.9790
11 2046 6 2.298851 75 2.2500 1.250 1.2951 56.99 0.7599
12 4094 14 1.047619 51 2.2500 0.625 1.2705 46.99 0.9215
13 8190 0 2.909091 292 2.2500 1.667 1.2497 210.10 0.7195
14 16382 2 1.000000 141 2.6667 0.625 1.2748 138.61 0.9830
15 32766 6 2.065171 518 2.6667 1.250 1.2565 476.06 0.9190
16 65534 14 1.249711 534 2.6667 0.625 1.2404 413.08 0.7736
17 131070 0 2.855599 2167 2.9333 1.667 1.2489 1964.92 0.9067
18 262142 2 1.000000 1293 2.9333 0.625 1.2351 1299.95 1.0054
19 524286 6 2.576968 6055 2.9333 1.250 1.2227 4620.10 0.7630
20 1048574 14 1.000000 4319 3.0958 0.625 1.2233 4171.65 0.9659
21 2097150 0 3.143727 23899 3.0958 1.667 1.2127 20004.89 0.8371
22 4194302 2 1.213211 16589 3.0958 0.625 1.2030 13561.72 0.8175
23 8388606 6 2.122415 53108 3.0958 1.250 1.1942 49268.15 0.9277
24 16777214 14 1.022222 46683 3.1968 0.625 1.1922 45171.39 0.9676
25 33554430 0 3.739216 312340 3.1968 1.667 1.1845 220594.87 0.7063
26 67108862 2 1.036786 159483 3.1968 0.625 1.1774 152047.97 0.9534
27 134217726 6 2.000977 567857 3.2591 1.250 1.1741 562421.77 0.9904
28 268435454 14 1.216901 639256 3.2591 0.625 1.1679 520196.04 0.8138
29 536870910 0 2.881270 2810965 3.2591 1.667 1.1621 2573518.51 0.9155
30 1073741822 2 1.005723 1826974 3.2976 0.625 1.1586 1798094.59 0.9842

指数偶数模30 波动因子哥猜数吴Fj 吴系数1 吴系数2 吴哥吴哥/真哥
2 6 6 1.000000 1 1.0000 1.250 1.5581 3.64 3.6400
3 10 10 1.000000 2 1.0000 0.833 1.4343 2.25 1.1272
4 18 18 2.000000 2 1.0000 1.250 1.3460 3.63 1.8125
5 34 4 1.000000 4 1.0000 0.625 1.2836 2.19 0.5484
6 66 6 2.000000 6 1.0000 1.250 1.2387 5.82 0.9703
7 130 10 1.333333 7 1.5000 0.833 1.3082 5.98 0.8545
8 258 18 2.000000 14 1.5000 1.250 1.2701 13.28 0.9489
9 514 4 1.000000 14 1.5000 0.625 1.2403 10.23 0.7304
10 1026 6 2.117647 42 2.2500 1.250 1.3245 35.34 0.8413
11 2050 10 1.367521 42 2.2500 0.833 1.2951 38.05 0.9059
12 4098 18 2.000000 102 2.2500 1.250 1.2705 94.06 0.9221
13 8194 4 1.066667 97 2.2500 0.625 1.2497 78.82 0.8125
14 16386 6 2.000000 258 2.6667 1.250 1.2748 277.27 1.0747
15 32770 10 1.395173 344 2.6667 0.833 1.2565 317.40 0.9227
16 65538 18 2.222222 929 2.6667 1.250 1.2404 826.21 0.8894
17 131074 4 1.000000 768 2.9333 0.625 1.2489 736.86 0.9595
18 262146 6 2.000000 2661 2.9333 1.250 1.2351 2599.93 0.9770
19 524290 10 1.510086 3612 2.9333 0.833 1.2227 3080.09 0.8527
20 1048578 18 2.000000 8444 3.0958 1.250 1.2233 8343.32 0.9881
21 2097154 4 1.066667 8118 3.0958 0.625 1.2127 7501.84 0.9241
22 4194306 6 2.048780 28017 3.0958 1.250 1.2030 27123.46 0.9681
23 8388610 10 1.337342 33378 3.0958 0.833 1.1942 32845.45 0.9840
24 16777218 18 2.000000 91210 3.1968 1.250 1.1922 90342.80 0.9905
25 33554434 4 1.016001 84870 3.1968 0.625 1.1845 82723.09 0.9747
26 67108866 6 2.231698 342981 3.1968 1.250 1.1774 304095.96 0.8866
27 134217730 10 1.369097 388509 3.2591 0.833 1.1741 374947.86 0.9651
28 268435458 18 2.117647 1113342 3.2591 1.250 1.1679 1040392.10 0.9345
29 536870914 4 1.066667 1041368 3.2591 0.625 1.1621 965069.45 0.9267
30 1073741826 6 2.035088 3698190 3.2976 1.250 1.1586 3596189.20 0.9724

作者: lusishun 时间: 2026-9-17 05:41
各位计算大神，到千亿级，就非常完美了，再往大处找，
就太干扰您们自己的生活了。有千亿级，还有万亿级。亿亿级，亿亿亿级，用无止境。不是吗？

作者: yangchuanju 时间: 2026-9-17 07:31
猜想——大偶数N的哥德巴赫猜想分拆素数对数不小于0.66*N/ln(N)^2（单计）！

猜想——大偶数N的哥德巴赫猜想分拆素数对数不小于N/(4*1.260947)*1/7*9/13*15/19*21/23*27/31*...*(p-2)/p（单计）！

作者: wangyangke 时间: 2026-10-31 11:21
本帖最后由 wangyangke 于 2026-10-31 03:30 编辑

论坛上的哥猜人、孪猜人或者几乎众所周知Hardy-littewood的孪生素数猜想；还有些自以为是的聪明人混淆Hardy-littewood的孪生素数猜想为Hardy-littewood的哥德巴赫素数对（猜想）；聪明过头了哟；并没有什么Hardy-littewood的哥猜素数对，并没有什么Hardy-littewood的哥猜素数对（有的是：不知羞耻、厚颜无耻）；因为，若有，定然早早见于文献、网络，定然早早就闹开了。

作者: 风花飘飘 时间: 2026-10-31 19:24

wangyangke 发表于 2026-10-31 11:21
论坛上的哥猜人、孪猜人或者几乎众所周知Hardy-littewood的孪生素数猜想；还有些自以为是的聪明人混淆Hardy ...

你是一根傻吊苦瓜！保养kanyikan它妈800每年，kanyikan它妈逼被申一言主任草烂了啊。。。

欢迎光临数学中国 (http://www.mathchina.com/bbs/)