解决一千以内偶数哥猜的基底素数至少有多少

yangchuanju · 发表于 2026-9-29 06:01

本帖最后由 yangchuanju 于 2026-9-29 12:28 编辑

t0数据表（局部）
pi(p) p                S(p)             L(p) finder
素数号素数    最小偶数 4*10^18以内个数及发现者
1 2*                4*                1 other: A. Desboves
2 3*                6* 95676260903887606 other: A. Desboves
3 5*                12* 92652797780652286 other: A. Desboves
4 7*                30* 89629334647433069 other: A. Desboves
5 11                124* 83895928895006866 other: A. Desboves
6 13                122  80251088777761701 other: A. Desboves
7 17                418* 74578715473571353 other: A. Desboves
8 19*                98  73141962811454491 other: A. Desboves
9 23*                220  67287432939217194 other: A. Desboves
10 29                346  63217061588116523 other: A. Desboves
11 31*                308  63098123008921009 other: A. Desboves
12 37                1274* 57993723071492807 other: A. Desboves
13 41                1144  54074167568649521 other: A. Desboves
14 43                962  52096698612200478 other: A. Desboves
15 47*                556  48091849201245123 other: A. Desboves
16 53                2512* 44668450238252273 other: A. Desboves
17 59                3526* 42142623176414517 other: A. Desboves
18 61                1382  44489990933546933 other: A. Desboves
19 67                1856  41159963621085864 other: A. Desboves
20 71                4618* 36216730384657918 other: A. Desboves
21 73*                992  35848764791745492 other: A. Desboves
22 79                3818  35467826456461923 other: A. Desboves
23 83                7432* 31343005804777735 other: A. Desboves
24 89             12778* 29405250944158803 other: N. Pipping
25 97                5978  29986556387206864 other: A. Desboves
26  101             26098* 26338499004127598 other: N. Pipping
27  103*             2642  26664718559034861 other: A. Desboves
28  107             23266  24590354497029799 other: N. Pipping
29  109             10268  25700474656593331 other: N. Pipping
30  113             19696  21496135440688351 other: N. Pipping
31  127                6008  22451531593962026 other: A. Desboves
32  131             34192* 19499202890901653 other: N. Pipping
33  137             22606  18539162120162923 other: N. Pipping
34  139*             5372  20468691428770394 other: A. Desboves
35  149             37768* 17024761423310946 other: N. Pipping
36  151             13562  19077311716712066 other: N. Pipping
37  157                9596  16503905119673684 other: A. Desboves
38  163             22832  15724341507113829 other: N. Pipping
39  167             59914* 14688714173675256 other: N. Pipping
40  173*             7426  13079812241314042 other: A. Desboves
41  179             88786* 12763679087742232 other: N. Pipping
42  181             50312  14561371902885447 other: N. Pipping
43  191             97768* 11593439010199271 other: N. Pipping
44  193             48002  12331677481261289 other: N. Pipping
45  197             112558* 10629059730017153 other: M.-K. Shen
46  199             60062  12045908772405632 other: N. Pipping
47  211*             43532  11296831878656887 other: N. Pipping
48  223             221942*  9634344483910901 other: M.-K. Shen
49  227             103738 9058878585614973 other: M.-K. Shen
50  229             66158 9416613959718753 other: N. Pipping
51  233*             54244 8418279144122031 other: N. Pipping
52  239             217156 8010058803247657 other: M.-K. Shen
53  241             134972 8303041149824931 other: M.-K. Shen
54  251             100768 7338924153464051 other: M.-K. Shen
55  257             237544*  6513327859280874 other: M.-K. Shen
56  263             485326*  6207449723591096 other: M.-K. Shen
57  269             407128 5846422130822774 other: M.-K. Shen
58  271             137708 7459848553414026 other: M.-K. Shen
59  277             250400 6962923998002958 other: M.-K. Shen
60  281             642358*  5272038986468558 other: M.-K. Shen
61  283             84116 6065729818228037 other: N. Pipping
62  293*             63274 4810858100268697 other: N. Pipping
63  307             180596 5814998632144679 other: M.-K. Shen
64  311             194452 4326605776308644 other: M.-K. Shen
65  313*             113672 5187547365903882 other: M.-K. Shen
66  317             686638*  4109282053247701 other: M.-K. Shen
67  331*             128168 5280806248949194 other: M.-K. Shen
68  337             343136 4684221533710170 other: M.-K. Shen
69  347             1042078*  3632472196048989 other: M.-K. Shen
70  349             850802 4456414445615631 other: M.-K. Shen
71  353             523384 3352517316724458 other: M.-K. Shen
72  359*             194428 3340428186169030 other: M.-K. Shen
73  367             480908 3797570290603626 other: M.-K. Shen
74  373             953396 3589470763837220 other: M.-K. Shen
75  379             1172918*  3677215530972915 other: M.-K. Shen
76  383*             194470 2808650416244908 other: M.-K. Shen
77  389*             413572 2838704048372597 other: M.-K. Shen
78  397             732626 3055906955315866 other: M.-K. Shen
79  401             2041402*  2492820948418393 other: M.-K. Shen
80  409             642662 2862612094987104 other: M.-K. Shen
81  419             2406448*  2379314597945780 other: M.-K. Shen
82  421             2076854 2830816914423313 other: M.-K. Shen
83  431             1853158 2112698499348155 other: M.-K. Shen
84  433             2003444 2362509263557061 other: M.-K. Shen
85  439             880508 2327524232663262 other: M.-K. Shen
86  443             2346412 1868808306432678 other: M.-K. Shen
87  449             1816888 1859860901557049 other: M.-K. Shen
88  457             1688798 2126005218601463 other: M.-K. Shen
89  461             2283172 1677666647311682 other: M.-K. Shen
90  463             4288574*  1914429694464375 other: M.-K. Shen
91  467             3667498 1568325983323523 other: M.-K. Shen
92  479             3392548 1413094336085667 other: M.-K. Shen
93  487             4938848*  1763510752136583 other: M.-K. Shen
94  491             4158418 1332086937603626 other: M.-K. Shen
95  499             1403372 1755640246293145 other: M.-K. Shen
96  503             4855636 1236178469859607 other: M.-K. Shen
97  509             9292156*  1136463795788154 other: M.-K. Shen
98  521          14341888*  1025558041566872 other: M.-K. Shen
99  523*             503222 1448494685517778 other: M.-K. Shen
  100  541             2209532 1513447029752956 other: M.-K. Shen
  101  547             3506954 1300782198316319 other: M.-K. Shen
  102  557             5526076 1005563538265948 other: M.-K. Shen
  103  563             6206272 886066214847693 other: M.-K. Shen
  104  569          17726098* 832774314561616 other: M.-K. Shen
  105  571             4493498 1307347123815326 other: M.-K. Shen
  106  577             3506984 1068236166859819 other: M.-K. Shen
  107  587          11156584 811451817408756 other: M.-K. Shen
  108  593          20757292* 713578915651082 other: M.-K. Shen
  109  599          15860818 670032298590808 other: M.-K. Shen
  110  601*          1077422 1098438183853712 other: M.-K. Shen
  111  607             4917746 909075877808663 other: M.-K. Shen
  112  613          10030652 908975081401745 other: M.-K. Shen
  113  617          18043534 657388471168884 other: M.-K. Shen
  114  619             5833298 872769624187571 other: M.-K. Shen
  115  631          17186102 843195764562054 other: M.-K. Shen
  116  641             6352972 569190808958495 other: M.-K. Shen
  117  643             9883994 705726841451765 other: M.-K. Shen
  118  647          11124268 530489003106380 other: M.-K. Shen
  119  653          13437394 487876888250130 other: M.-K. Shen
  120  659          32507242* 464733571699575 other: M.-K. Shen
  121  661          11450798 684869243911223 other: M.-K. Shen
  122  673          16523132 598084411952240 other: M.-K. Shen
  123  677          27824728 429921053978119 other: M.-K. Shen
  124  683          22360822 390856414642711 other: M.-K. Shen
  125  691          17212502 596970090495531 other: M.-K. Shen
  126  701          14671732 374286847386479 other: M.-K. Shen
  127  709          14131052 593105657712077 other: M.-K. Shen
  128  719          20160676 336866022205006 other: M.-K. Shen
  129  727*          3526958 482882194477808 other: M.-K. Shen
  130  733             8350652 433866288896276 other: M.-K. Shen
  131  739          34362758* 469814847245232 other: Stein and Stein
  132  743          37890844* 305976814665862 other: Stein and Stein
  133  751*          3807404 416527571177958 other: M.-K. Shen
  134  757          33498098 369523681504380 other: Stein and Stein
  135  761          49358128* 295812036194202 other: Stein and Stein
  136  769          27105578 362850601181687 other: M.-K. Shen
  137  773          68788066* 253385548950373 other: Stein and Stein
  138  787          40506254 300747589941665 other: Stein and Stein
  139  797          30476296 265976433652109 other: M.-K. Shen
  140  809          58360702 234245419298432 other: Stein and Stein
  141  811          31361312 303530873172206 other: M.-K. Shen
  142  821          50872462 221586406544051 other: Stein and Stein
  143  823          21930404 281561127837482 other: M.-K. Shen
  144  827          68425336 210601431140051 other: Stein and Stein
  145  829*          10759922 267492699389721 other: M.-K. Shen
  146  839          129796642* 192521111306346 other: A. Granville, J. Van de Lune, and H. te Riele
  147  853          144516902* 218923802404929 other: A. Granville, J. Van de Lune, and H. te Riele
  148  857          55364236 176950711416255 other: Stein and Stein
  149  859          73232288 236775401469561 other: Stein and Stein
  150  863          107120734 158347541562724 other: A. Granville, J. Van de Lune, and H. te Riele
  151  877          35057018 202294082592729 other: Stein and Stein
  152  881          120307762 158705789007289 other: A. Granville, J. Van de Lune, and H. te Riele
  153  883          74975402 186620148245366 other: Stein and Stein
  154  887          104583088 137847333264117 other: A. Granville, J. Van de Lune, and H. te Riele
  155  907          87191474 178303028384339 other: Stein and Stein
  156  911          150386932* 131022927340732 other: A. Granville, J. Van de Lune, and H. te Riele
  157  919          97924562 180705791304329 other: Stein and Stein
  158  929*          24106882 117482756980417 other: M.-K. Shen
  159  937          73952798 139725110101715 other: Stein and Stein
  160  941          206892484* 110875604394458 other: A. Granville, J. Van de Lune, and H. te Riele
  161  947          152277394 107397882519993 other: A. Granville, J. Van de Lune, and H. te Riele
  162  953          68320822    98381023936139 other: Stein and Stein
  163  967          148993766 130892451826083 other: A. Granville, J. Van de Lune, and H. te Riele
  164  971          135925618    86137454414493 other: A. Granville, J. Van de Lune, and H. te Riele
  165  977          247013164* 85007594926156 other: A. Granville, J. Van de Lune, and H. te Riele
  166  983          71445742    79455147033267 other: Stein and Stein
  167  991          63480422 147221536841234 other: Stein and Stein
  168  997*          27789878 109657872085505 other: M.-K. Shen
  169 1009          79097318 123256987512882 other: Stein and Stein
  170 1013          113269192    70211925686744 other: A. Granville, J. Van de Lune, and H. te Riele
  171 1019          245576512    72286242716469 other: A. Granville, J. Van de Lune, and H. te Riele
  172 1021          114357422 112771218839047 other: A. Granville, J. Van de Lune, and H. te Riele
  173 1031          299434108* 63472875427881 other: A. Granville, J. Van de Lune, and H. te Riele
  174 1033          185020262 100131707870018 other: A. Granville, J. Van de Lune, and H. te Riele
  175 1039*          37998938    97386100349051 other: Stein and Stein
  176 1049          379410652* 62234540633170 other: A. Granville, J. Van de Lune, and H. te Riele
  177 1051          119851052    92616474457962 other: A. Granville, J. Van de Lune, and H. te Riele
  178 1061          554463808* 53033013003029 other: A. Granville, J. Van de Lune, and H. te Riele
  179 1063          233047922    76005894452208 other: A. Granville, J. Van de Lune, and H. te Riele
  180 1069          301229972    77361893059832 other: A. Granville, J. Van de Lune, and H. te Riele
  181 1087          141979436    66750974249056 other: A. Granville, J. Van de Lune, and H. te Riele
  182 1091          678546502* 50032557683228 other: A. Granville, J. Van de Lune, and H. te Riele
  183 1093*          60119912    64328444781789 other: Stein and Stein
  184 1097          1168888534* 47405185642174 other: A. Granville, J. Van de Lune, and H. te Riele
  185 1103          520059556    43587099517536 other: A. Granville, J. Van de Lune, and H. te Riele
  186 1109          697166356    42723093918498 other: A. Granville, J. Van de Lune, and H. te Riele
  187 1117          589166684    56887802367262 other: A. Granville, J. Van de Lune, and H. te Riele
  188 1123          211027322    53454006622037 other: A. Granville, J. Van de Lune, and H. te Riele
  189 1129          272426972    56286084214658 other: A. Granville, J. Van de Lune, and H. te Riele
  190 1151          483007534    35226846846661 other: A. Granville, J. Van de Lune, and H. te Riele
  191 1153          179504552    46365647637303 other: A. Granville, J. Van de Lune, and H. te Riele
  192 1163*          113632822    35471216491820 other: A. Granville, J. Van de Lune, and H. te Riele
  193 1171          343553258    51242985971073 other: A. Granville, J. Van de Lune, and H. te Riele
  194 1181          704611858    29945604101627 other: A. Granville, J. Van de Lune, and H. te Riele
  195 1187          830872528    31937884092980 other: A. Granville, J. Van de Lune, and H. te Riele
  196 1193          998321704    27486655601866 other: A. Granville, J. Van de Lune, and H. te Riele
  197 1201          576598634    44900622111812 other: A. Granville, J. Van de Lune, and H. te Riele
  198 1213          508635902    38118507431009 other: A. Granville, J. Van de Lune, and H. te Riele
  199 1217          833905636    28528769784724 other: A. Granville, J. Van de Lune, and H. te Riele
  200 1223          514575526    23813741915486 other: A. Granville, J. Van de Lune, and H. te Riele
…………
1189 9629* 2795935116574469638                1 sp
1206 9781* 3325581707333960528                1 sp

柳林 · 发表于 2026-9-29 14:41

wangchuanju网友：
我的表格中作为减数的第一个素数，只有27个。

5
11
13
31
103
113
151
233
251
271
283
311
1051
1093
1151
1171
1451
1733
1741
1993
2053
2383
2731
3323
3803
4283
4421

柳林 · 发表于 2026-9-29 14:44

3
5
7
11
13
17
19
23
29
31
37
41
43
47
53
59
61
67
71
73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281
283
293
307
311
313
317
331
337
347
349
353
359
367
373
379
383
389
397
401
409
419
421
431
433
439
443
449
457
461
463
467
479
487
491
499
503
509
521
523
541
547
557
563
569
571
577
587
593
599
601
607
613
617
619
631
641
643
647
653
659
661
673
677
683
691
701
709
719
727
733
739
743
751
757
761
769
773
787
797
809
811
821
823
827
829
839
853
857
859
863
877
881
883
887
907
911
919
929
937
941
947
953
967
971
977
983
991
997

柳林 · 发表于 2026-9-29 14:55

作为“差数”出现的素数有167个。

柳林 · 发表于 2026-9-29 15:11

偶数是从8到1006的，数值是从小到大的，十分有规律。不用证明。
100以下12个减数，是3*2^2
1000以下27个减数，是3*3^2
10000以下48个减数是3*4^2
10w万以下75个减数是3*5^2
100万以下108个减数是3*6^2。以十分有规律。有无穷多很好证明。

差数是全部奇素数。有无穷多。早有证明。

柳林 · 发表于 2026-9-29 17:31

时空伴随者网友：

我们发现，您是按照基底素数数值永远小于一般素数的数值这个规律计算的，不知道是否发现了这两类素数变化规律，是否可以用公式来表示。

时空伴随者 · 发表于 2026-9-29 22:53

柳林发表于 2026-9-29 17:31
时空伴随者网友：

我们发现，您是按照基底素数数值永远小于一般素数的数值这个规律计算的，不知道是否发 ...

我没发现什么公式，只是找到从4—1160，只需要13个基底素数。
2026-09-29 22:49:26
4 = 2 + 2
6 = 3 + 3
8 = 3 + 5
10 = 3 + 7
12 = 5 + 7
14 = 3 + 11
16 = 3 + 13
18 = 5 + 13
20 = 3 + 17
22 = 3 + 19
24 = 5 + 19
26 = 3 + 23
28 = 5 + 23
30 = 7 + 23
32 = 3 + 29
34 = 3 + 31
36 = 5 + 31
38 = 7 + 31
40 = 3 + 37
42 = 5 + 37
44 = 3 + 41
46 = 3 + 43
48 = 5 + 43
50 = 3 + 47
52 = 5 + 47
54 = 7 + 47
56 = 3 + 53
58 = 5 + 53
60 = 7 + 53
62 = 3 + 59
64 = 3 + 61
66 = 5 + 61
68 = 7 + 61
70 = 3 + 67
72 = 5 + 67
74 = 3 + 71
76 = 3 + 73
78 = 5 + 73
80 = 7 + 73
82 = 3 + 79
84 = 5 + 79
86 = 3 + 83
88 = 5 + 83
90 = 7 + 83
92 = 3 + 89
94 = 5 + 89
96 = 7 + 89
98 = 19 + 79
100 = 3 + 97
102 = 5 + 97
104 = 3 + 101
106 = 3 + 103
108 = 5 + 103
110 = 3 + 107
112 = 3 + 109
114 = 5 + 109
116 = 3 + 113
118 = 5 + 113
120 = 7 + 113
122 = 13 + 109
124 = 17 + 107
126 = 13 + 113
128 = 19 + 109
130 = 3 + 127
132 = 5 + 127
134 = 3 + 131
136 = 5 + 131
138 = 7 + 131
140 = 3 + 137
142 = 3 + 139
144 = 5 + 139
146 = 7 + 139
148 = 17 + 131
150 = 13 + 137
152 = 3 + 149
154 = 3 + 151
156 = 5 + 151
158 = 7 + 151
160 = 3 + 157
162 = 5 + 157
164 = 7 + 157
166 = 3 + 163
168 = 5 + 163
170 = 3 + 167
172 = 5 + 167
174 = 7 + 167
176 = 3 + 173
178 = 5 + 173
180 = 7 + 173
182 = 3 + 179
184 = 3 + 181
186 = 5 + 181
188 = 7 + 181
190 = 17 + 173
192 = 13 + 179
194 = 3 + 191
196 = 3 + 193
198 = 5 + 193
200 = 3 + 197
202 = 3 + 199
204 = 5 + 199
206 = 7 + 199
208 = 17 + 191
210 = 13 + 197
212 = 13 + 199
214 = 3 + 211
216 = 5 + 211
218 = 7 + 211
220 = 23 + 197
222 = 23 + 199
224 = 13 + 211
226 = 3 + 223
228 = 5 + 223
230 = 3 + 227
232 = 3 + 229
234 = 5 + 229
236 = 3 + 233
238 = 5 + 233
240 = 7 + 233
242 = 3 + 239
244 = 3 + 241
246 = 5 + 241
248 = 7 + 241
250 = 17 + 233
252 = 13 + 239
254 = 3 + 251
256 = 5 + 251
258 = 7 + 251
260 = 3 + 257
262 = 5 + 257
264 = 7 + 257
266 = 3 + 263
268 = 5 + 263
270 = 7 + 263
272 = 3 + 269
274 = 3 + 271
276 = 5 + 271
278 = 7 + 271
280 = 3 + 277
282 = 5 + 277
284 = 3 + 281
286 = 3 + 283
288 = 5 + 283
290 = 7 + 283
292 = 23 + 269
294 = 13 + 281
296 = 3 + 293
298 = 5 + 293
300 = 7 + 293
302 = 19 + 283
304 = 23 + 281
306 = 13 + 293
308 = 31 + 277
310 = 3 + 307
312 = 5 + 307
314 = 3 + 311
316 = 3 + 313
318 = 5 + 313
320 = 3 + 317
322 = 5 + 317
324 = 7 + 317
326 = 13 + 313
328 = 17 + 311
330 = 13 + 317
332 = 19 + 313
334 = 3 + 331
336 = 5 + 331
338 = 7 + 331
340 = 3 + 337
342 = 5 + 337
344 = 7 + 337
346 = 29 + 317
348 = 17 + 331
350 = 3 + 347
352 = 3 + 349
354 = 5 + 349
356 = 3 + 353
358 = 5 + 353
360 = 7 + 353
362 = 3 + 359
364 = 5 + 359
366 = 7 + 359
368 = 19 + 349
370 = 3 + 367
372 = 5 + 367
374 = 7 + 367
376 = 3 + 373
378 = 5 + 373
380 = 7 + 373
382 = 3 + 379
384 = 5 + 379
386 = 3 + 383
388 = 5 + 383
390 = 7 + 383
392 = 3 + 389
394 = 5 + 389
396 = 7 + 389
398 = 19 + 379
400 = 3 + 397
402 = 5 + 397
404 = 3 + 401
406 = 5 + 401
408 = 7 + 401
410 = 13 + 397
412 = 3 + 409
414 = 5 + 409
416 = 7 + 409
418 = 17 + 401
420 = 19 + 401
422 = 3 + 419
424 = 3 + 421
426 = 5 + 421
428 = 7 + 421
430 = 29 + 401
432 = 13 + 419
434 = 3 + 431
436 = 3 + 433
438 = 5 + 433
440 = 7 + 433
442 = 3 + 439
444 = 5 + 439
446 = 3 + 443
448 = 5 + 443
450 = 7 + 443
452 = 3 + 449
454 = 5 + 449
456 = 7 + 449
458 = 19 + 439
460 = 3 + 457
462 = 5 + 457
464 = 3 + 461
466 = 3 + 463
468 = 5 + 463
470 = 3 + 467
472 = 5 + 467
474 = 7 + 467
476 = 13 + 463
478 = 17 + 461
480 = 13 + 467
482 = 3 + 479
484 = 5 + 479
486 = 7 + 479
488 = 31 + 457
490 = 3 + 487
492 = 5 + 487
494 = 3 + 491
496 = 5 + 491
498 = 7 + 491
500 = 13 + 487
502 = 3 + 499
504 = 5 + 499
506 = 3 + 503
508 = 5 + 503
510 = 7 + 503
512 = 3 + 509
514 = 5 + 509
516 = 7 + 509
518 = 19 + 499
520 = 17 + 503
522 = 13 + 509
524 = 3 + 521
526 = 3 + 523
528 = 5 + 523
530 = 7 + 523
532 = 23 + 509
534 = 13 + 521
536 = 13 + 523
538 = 17 + 521
540 = 17 + 523
542 = 19 + 523
544 = 3 + 541
546 = 5 + 541
548 = 7 + 541
550 = 3 + 547
552 = 5 + 547
554 = 7 + 547
556 = 47 + 509
558 = 17 + 541
560 = 3 + 557
562 = 5 + 557
564 = 7 + 557
566 = 3 + 563
568 = 5 + 563
570 = 7 + 563
572 = 3 + 569
574 = 3 + 571
576 = 5 + 571
578 = 7 + 571
580 = 3 + 577
582 = 5 + 577
584 = 7 + 577
586 = 17 + 569
588 = 17 + 571
590 = 3 + 587
592 = 5 + 587
594 = 7 + 587
596 = 3 + 593
598 = 5 + 593
600 = 7 + 593
602 = 3 + 599
604 = 3 + 601
606 = 5 + 601
608 = 7 + 601
610 = 3 + 607
612 = 5 + 607
614 = 7 + 607
616 = 3 + 613
618 = 5 + 613
620 = 3 + 617
622 = 3 + 619
624 = 5 + 619
626 = 7 + 619
628 = 29 + 599
630 = 13 + 617
632 = 13 + 619
634 = 3 + 631
636 = 5 + 631
638 = 7 + 631
640 = 23 + 617
642 = 23 + 619
644 = 3 + 641
646 = 3 + 643
648 = 5 + 643
650 = 3 + 647
652 = 5 + 647
654 = 7 + 647
656 = 3 + 653
658 = 5 + 653
660 = 7 + 653
662 = 3 + 659
664 = 3 + 661
666 = 5 + 661
668 = 7 + 661
670 = 17 + 653
672 = 13 + 659
674 = 13 + 661
676 = 3 + 673
678 = 5 + 673
680 = 3 + 677
682 = 5 + 677
684 = 7 + 677
686 = 3 + 683
688 = 5 + 683
690 = 7 + 683
692 = 19 + 673
694 = 3 + 691
696 = 5 + 691
698 = 7 + 691
700 = 17 + 683
702 = 19 + 683
704 = 3 + 701
706 = 5 + 701
708 = 7 + 701
710 = 19 + 691
712 = 3 + 709
714 = 5 + 709
716 = 7 + 709
718 = 17 + 701
720 = 19 + 701
722 = 3 + 719
724 = 5 + 719
726 = 7 + 719
728 = 19 + 709
730 = 3 + 727
732 = 5 + 727
734 = 7 + 727
736 = 3 + 733
738 = 5 + 733
740 = 7 + 733
742 = 3 + 739
744 = 5 + 739
746 = 3 + 743
748 = 5 + 743
750 = 7 + 743
752 = 13 + 739
754 = 3 + 751
756 = 5 + 751
758 = 7 + 751
760 = 3 + 757
762 = 5 + 757
764 = 3 + 761
766 = 5 + 761
768 = 7 + 761
770 = 13 + 757
772 = 3 + 769
774 = 5 + 769
776 = 3 + 773
778 = 5 + 773
780 = 7 + 773
782 = 13 + 769
784 = 23 + 761
786 = 13 + 773
788 = 19 + 769
790 = 3 + 787
792 = 5 + 787
794 = 7 + 787
796 = 23 + 773
798 = 29 + 769
800 = 3 + 797
802 = 5 + 797
804 = 7 + 797
806 = 19 + 787
808 = 47 + 761
810 = 13 + 797
812 = 3 + 809
814 = 3 + 811
816 = 5 + 811
818 = 7 + 811
820 = 23 + 797
822 = 13 + 809
824 = 3 + 821
826 = 3 + 823
828 = 5 + 823
830 = 3 + 827
832 = 3 + 829
834 = 5 + 829
836 = 7 + 829
838 = 17 + 821
840 = 13 + 827
842 = 3 + 839
844 = 5 + 839
846 = 7 + 839
848 = 19 + 829
850 = 23 + 827
852 = 13 + 839
854 = 31 + 823
856 = 3 + 853
858 = 5 + 853
860 = 3 + 857
862 = 3 + 859
864 = 5 + 859
866 = 3 + 863
868 = 5 + 863
870 = 7 + 863
872 = 13 + 859
874 = 17 + 857
876 = 13 + 863
878 = 19 + 859
880 = 3 + 877
882 = 5 + 877
884 = 3 + 881
886 = 3 + 883
888 = 5 + 883
890 = 3 + 887
892 = 5 + 887
894 = 7 + 887
896 = 13 + 883
898 = 17 + 881
900 = 13 + 887
902 = 19 + 883
904 = 17 + 887
906 = 19 + 887
908 = 31 + 877
910 = 3 + 907
912 = 5 + 907
914 = 3 + 911
916 = 5 + 911
918 = 7 + 911
920 = 13 + 907
922 = 3 + 919
924 = 5 + 919
926 = 7 + 919
928 = 17 + 911
930 = 19 + 911
932 = 3 + 929
934 = 5 + 929
936 = 7 + 929
938 = 19 + 919
940 = 3 + 937
942 = 5 + 937
944 = 3 + 941
946 = 5 + 941
948 = 7 + 941
950 = 3 + 947
952 = 5 + 947
954 = 7 + 947
956 = 3 + 953
958 = 5 + 953
960 = 7 + 953
962 = 43 + 919
964 = 17 + 947
966 = 13 + 953
968 = 31 + 937
970 = 3 + 967
972 = 5 + 967
974 = 3 + 971
976 = 5 + 971
978 = 7 + 971
980 = 3 + 977
982 = 5 + 977
984 = 7 + 977
986 = 3 + 983
988 = 5 + 983
990 = 7 + 983
992 = 73 + 919
994 = 3 + 991
996 = 5 + 991
998 = 7 + 991
1000 = 3 + 997
1002 = 5 + 997
1004 = 7 + 997
1006 = 23 + 983
1008 = 17 + 991
1010 = 13 + 997
1012 = 3 + 1009
1014 = 5 + 1009
1016 = 3 + 1013
1018 = 5 + 1013
1020 = 7 + 1013
1022 = 3 + 1019
1024 = 3 + 1021
1026 = 5 + 1021
1028 = 7 + 1021
1030 = 17 + 1013
1032 = 13 + 1019
1034 = 3 + 1031
1036 = 3 + 1033
1038 = 5 + 1033
1040 = 7 + 1033
1042 = 3 + 1039
1044 = 5 + 1039
1046 = 7 + 1039
1048 = 17 + 1031
1050 = 17 + 1033
1052 = 3 + 1049
1054 = 3 + 1051
1056 = 5 + 1051
1058 = 7 + 1051
1060 = 29 + 1031
1062 = 13 + 1049
1064 = 3 + 1061
1066 = 3 + 1063
1068 = 5 + 1063
1070 = 7 + 1063
1072 = 3 + 1069
1074 = 5 + 1069
1076 = 7 + 1069
1078 = 17 + 1061
1080 = 17 + 1063
1082 = 13 + 1069
1084 = 23 + 1061
1086 = 17 + 1069
1088 = 19 + 1069
1090 = 3 + 1087
1092 = 5 + 1087
1094 = 3 + 1091
1096 = 3 + 1093
1098 = 5 + 1093
1100 = 3 + 1097
1102 = 5 + 1097
1104 = 7 + 1097
1106 = 3 + 1103
1108 = 5 + 1103
1110 = 7 + 1103
1112 = 3 + 1109
1114 = 5 + 1109
1116 = 7 + 1109
1118 = 31 + 1087
1120 = 3 + 1117
1122 = 5 + 1117
1124 = 7 + 1117
1126 = 3 + 1123
1128 = 5 + 1123
1130 = 7 + 1123
1132 = 3 + 1129
1134 = 5 + 1129
1136 = 7 + 1129
1138 = 29 + 1109
1140 = 17 + 1123
1142 = 13 + 1129
1144 = 47 + 1097
1146 = 17 + 1129
1148 = 19 + 1129
1150 = 47 + 1103
1152 = 23 + 1129
1154 = 3 + 1151
1156 = 3 + 1153
1158 = 5 + 1153
1160 = 7 + 1153
13 [2, 3, 5, 7, 13, 17, 19, 23, 29, 31, 43, 47, 73]
用时 0.00656 秒

柳林 · 发表于 2026-10-1 15:58

本帖最后由 yangchuanju 于 2026-9-28 20:41 编辑

主楼第一个素数中共出现12个不同的素数，加上没有用到的2,3,7共15素数（4=2+2、6=3+3、10=3+7）——
素数        频次
5        85
11        9
13        11
31        20
103        16
113        18
151        29
233        13
251        38
271        89
283        48
311        124

感谢yangchuanju网友细心指出我们的忽梳。

但是。我们认为，2；3；7属于画蛇添足。只是增加了一个偶数4.

欧拉的偶数4=1+3；现代数学家都是从偶数6开始。

我们的忽梳是把一万以内的偶数，需要用27个基底素数，误认为

一千以内。

柳林 · 发表于 2026-10-1 16:13

我们的计算结果是：

在100以内用5；11；13；31四个素数作为素数对中的小素数就能构成偶数8-100；
在1000以内用5；11；13；31；103....共12个素数作为素数对中的小素数就能构成偶数8-1000；
在10000以内用 5；11；13；31；103....共共27个素数作为素数对中的小素数就能构成偶数8-10000；
在10 0000以内用5；11；13；31；103;113....共共48个素数作为素数对中的小素数就能构成偶数8-100000；
在100 0000以内用5；11；13；31；103;151;233....共75个素数作为素数对中的小素数就能构成偶数8-1000000；
在1000 0000以内用5;11;13;31;103;113;151;233;251共108个素数作为素数对中的小素数就能构成偶数8-10000000；

柳林 · 发表于 2026-10-1 16:30

我们欢迎网友指出错误，共同提高研究质量。

更快解决哥德巴赫猜想。

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解决一千以内偶数哥猜的基底素数至少有多少

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