以第n个素数为偶数素数对p+q的最小偶数S(p)及4*10^18以内素数对个数L(p)表

yangchuanju · 发表于 2022-6-24 08:43

本帖最后由 yangchuanju 于 2022-6-24 08:45 编辑

以第n个素数为偶数素数对p+q的最小偶数S(p)及4*10^18以内素数对个数L(p)表
摘抄自网页《Goldbach conjecture verification》中的数据表t0（table [24KiB, compressed with gzip] ），
网址：http://sweet.ua.pt/tos/goldbach.html

在哥猜素数对中p+q=2n，对应p时的最小偶数2n是确定的，但不存在最大的偶数2n，亦即含有某个素数p的偶数个数无穷多（p=2时除外）；
当p=3时最小偶数是6，p=5时最小偶数是12，p=7时最小偶数30，p=11时最小偶数是124，……
据统计，在4*10^18以内的2*10^18个偶数中，共有9.57*10^16（95676260903887606）个3+q形式的素数对；
共有9.27*10^16（92652797780652286）个5+q形式的素数对；
共有9.96*10^16（89629334647433069）个7+q形式的素数对；
……
已经确定以第1052号素数8419为小素数p的最小偶数是1730120042260542848（1.73*10^18),在4*10^18以内共4个；
以第1206号素数9781为小素数p的最小偶数是3325581707333960528（3.33*10^18),在4*10^18以内共1个；
但至今没有人找到以第1053号素数8423为小素数p的最小偶数。
第1206号素数9781以内，没有找到以它们为小素数的偶数还有：
  1053 8423    1132 9133    1170 9439
1054 8429    1133 9137    1171 9461
1064 8537    1134 9151    1172 9463
1074 8627    1135 9157    1173 9467
1079 8669    1137 9173    1174 9473
1086 8713    1138 9181    1175 9479
1090 8741    1139 9187    1176 9491
1092 8753    1140 9199    1177 9497
1095 8783    1142 9209    1178 9511
1096 8803    1143 9221    1179 9521
1097 8807    1144 9227    1180 9533
1101 8837    1145 9239    1181 9539
1102 8839    1146 9241    1182 9547
1103 8849    1147 9257    1183 9551
1104 8861    1148 9277    1184 9587
1105 8863    1149 9281    1185 9601
1106 8867    1150 9283    1186 9613
1107 8887    1151 9293    1187 9619
1108 8893    1152 9311    1188 9623
1109 8923    1153 9319    1190 9631
1114 8963    1154 9323    1191 9643
1115 8969    1155 9337    1192 9649
1117 8999    1157 9343    1193 9661
1119 9007    1158 9349    1194 9677
1120 9011    1159 9371    1195 9679
1121 9013    1160 9377    1196 9689
1122 9029    1161 9391    1197 9697
1123 9041    1162 9397    1198 9719
1124 9043    1163 9403    1199 9721
1125 9049    1164 9413    1200 9733
1126 9059    1165 9419    1201 9739
1127 9067    1166 9421    1202 9743
1129 9103    1167 9431    1203 9749
1130 9109    1168 9433    1204 9767
1131 9127    1169 9437    1205 9769
第1206号素数作小素数p的偶数至今尚无人找到任何一个。

要找到以某个较大素数为小素数p的偶数虽非常困难，但它们总是存在的，并且都有无穷多个；
进一步以充分大、无穷大，退一步以充分大素数为小素数p的偶数也必然存在，并且有无穷多个。

yangchuanju · 发表于 2022-6-24 08:49

T0
# (c) 2012-2016, Tomás Oliveira e Silva
#
# See disclaimer in page
# http://sweet.ua.pt/tos/hobbies.html
#
# Do not bookmark this page, because its URI may change
# in the future. Instead, bookmark its parent page:
# http://sweet.ua.pt/tos/goldbach.html
#
# Test interval ---------- [4,4d18]
# Double test interval --- [4,4d17]
#
# pi(p) is the number of prime numbers not larger than p
# S(p) is the least even number for which p is the
#    smallest prime in one of its Goldbach partitions
# L(p) is the number of times p was the smallest
#    prime in a Goldbach partition
# An * marks a record-holder; p is a record-holder if
#    S(q) > S(p) for all q > p, i.e., if there exists
#    a Goldbach partition for each even number smaller
#    than S(p) that uses a prime smaller than p; S(p)
#    is a record-holder if S(q) < S(p) for all q < p
#
# List of finders (excluding other finders, not related to this project):
#
#  325+0 tos  Tomás Oliveira e Silva
# 80+0 zig  Siegfried "Zig" Herzog
# 15+0    sp  Silvio Pardi
# 11+0    cb  Carlos Bastos
# 9+0 jmr  João Manuel Rodrigues
# 7+0 mos  Miguel Oliveira e Silva
# 4+0 rac  Rui Arnaldo Costa
# 3+0    ck  Christian Kern
# 2+0 sias  SIAS Group
# 2+0    ap  Armando Pinho
# 2+0 ncsa  John Fettig & Nahil Sobh
#
# Last update made on April 7, 2012

pi(p) p                S(p)             L(p) finder
----- ----  -------------------  ----------------- ----------------------------------------------------
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
（未完待续）

yangchuanju · 发表于 2022-6-24 08:52

本帖最后由 yangchuanju 于 2022-6-24 08:54 编辑

（接上楼）
  pi(p) p                S(p)             L(p) finder
  201 1229          549820456    24055992613025 other: A. Granville, J. Van de Lune, and H. te Riele
  202 1231          903733772    37983598753883 other: A. Granville, J. Van de Lune, and H. te Riele
  203 1237          851635688    32782005173881 other: A. Granville, J. Van de Lune, and H. te Riele
  204 1249          479395832    33248165744476 other: A. Granville, J. Van de Lune, and H. te Riele
  205 1259          411953056    22799579999384 other: A. Granville, J. Van de Lune, and H. te Riele
  206 1277          799421188    19914982874241 other: A. Granville, J. Van de Lune, and H. te Riele
  207 1279          521020982    30677374439943 other: A. Granville, J. Van de Lune, and H. te Riele
  208 1283          1673268292* 18349660411343 other: A. Granville, J. Van de Lune, and H. te Riele
  209 1289          1034692066    18573750898175 other: A. Granville, J. Van de Lune, and H. te Riele
  210 1291          1269814412    28670511802672 other: A. Granville, J. Van de Lune, and H. te Riele
  211 1297          539321018    23410193285214 other: A. Granville, J. Van de Lune, and H. te Riele
  212 1301          1927528888* 16038565761764 other: A. Granville, J. Van de Lune, and H. te Riele
  213 1303          416723456    22654296060508 other: A. Granville, J. Van de Lune, and H. te Riele
  214 1307          1240085206    14804355862929 other: A. Granville, J. Van de Lune, and H. te Riele
  215 1319          1486053196    14248532489501 other: A. Granville, J. Van de Lune, and H. te Riele
  216 1321*          187852862    22697590310312 other: A. Granville, J. Van de Lune, and H. te Riele
  217 1327          2331465314* 19503833920690 other: A. Granville, J. Van de Lune, and H. te Riele
  218 1361          1736696758    12143623669308 other: A. Granville, J. Van de Lune, and H. te Riele
  219 1367          1229887588    12470608178764 other: A. Granville, J. Van de Lune, and H. te Riele
  220 1373          1980867802    11510311920729 other: A. Granville, J. Van de Lune, and H. te Riele
  221 1381          630842048    19797019931392 other: A. Granville, J. Van de Lune, and H. te Riele
  222 1399          756448568    17877703071280 other: A. Granville, J. Van de Lune, and H. te Riele
  223 1409          1096030648    11145701842107 other: A. Granville, J. Van de Lune, and H. te Riele
  224 1423          2232246752    16009033641924 other: A. Granville, J. Van de Lune, and H. te Riele
  225 1427*          335070838    10153875289951 other: A. Granville, J. Van de Lune, and H. te Riele
  226 1429          2538833642* 16148391025810 other: A. Granville, J. Van de Lune, and H. te Riele
  227 1433          2161216912    8191348678125 other: A. Granville, J. Van de Lune, and H. te Riele
  228 1439          2816593312*    8567006645258 other: A. Granville, J. Van de Lune, and H. te Riele
  229 1447          1387724978    13404039432451 other: A. Granville, J. Van de Lune, and H. te Riele
  230 1451          4407165118*    8240245397627 other: A. Granville, J. Van de Lune, and H. te Riele
  231 1453          794193146    12979830339478 other: A. Granville, J. Van de Lune, and H. te Riele
  232 1459          3079663718    12725676443158 other: A. Granville, J. Van de Lune, and H. te Riele
  233 1471          1541979242    12688616432407 other: A. Granville, J. Van de Lune, and H. te Riele
  234 1481          1373226448    7048350181586 other: A. Granville, J. Van de Lune, and H. te Riele
  235 1483          3229726196    10023055489075 other: A. Granville, J. Van de Lune, and H. te Riele
  236 1487          4168185016    6690818100113 other: A. Granville, J. Van de Lune, and H. te Riele
  237 1489          1289274512    10388903493586 other: A. Granville, J. Van de Lune, and H. te Riele
  238 1493          5801828806*    6288829488592 other: A. Granville, J. Van de Lune, and H. te Riele
  239 1499          2485180066    6010322533055 other: A. Granville, J. Van de Lune, and H. te Riele
  240 1511          4096704904    5514340399138 other: A. Granville, J. Van de Lune, and H. te Riele
  241 1523          4751173054    4914066433535 other: A. Granville, J. Van de Lune, and H. te Riele
  242 1531          1920307514    9318752528122 other: A. Granville, J. Van de Lune, and H. te Riele
  243 1543          3347859464    8011360283257 other: A. Granville, J. Van de Lune, and H. te Riele
  244 1549          957012668    8445056813730 other: A. Granville, J. Van de Lune, and H. te Riele
  245 1553          4700900872    4845386682359 other: A. Granville, J. Van de Lune, and H. te Riele
  246 1559          8946630856*    4464269596080 other: A. Granville, J. Van de Lune, and H. te Riele
  247 1567          6284981258    7227732181558 other: A. Granville, J. Van de Lune, and H. te Riele
  248 1571       21439965412*    3802598680140 other: M. Sinisalo
  249 1579          6799341356    7527246519218 other: A. Granville, J. Van de Lune, and H. te Riele
  250 1583*          419911924    3934973915167 other: A. Granville, J. Van de Lune, and H. te Riele
  251 1597          6082100534    6197783859345 other: A. Granville, J. Van de Lune, and H. te Riele
  252 1601          3865534054    3369000957826 other: A. Granville, J. Van de Lune, and H. te Riele
  253 1607          6873289078    3569914107373 other: A. Granville, J. Van de Lune, and H. te Riele
  254 1609          1414615688    6035116614770 other: A. Granville, J. Van de Lune, and H. te Riele
  255 1613       13210480876    2833593341739 other: A. Granville, J. Van de Lune, and H. te Riele
  256 1619          8799447556    3176519543210 other: A. Granville, J. Van de Lune, and H. te Riele
  257 1621          811951652    6273293584984 other: A. Granville, J. Van de Lune, and H. te Riele
  258 1627          7365126848    4779523547932 other: A. Granville, J. Van de Lune, and H. te Riele
  259 1637          4643768686    2916527649762 other: A. Granville, J. Van de Lune, and H. te Riele
  260 1657          6010294604    4454140950591 other: A. Granville, J. Van de Lune, and H. te Riele
  261 1663          8443593836    4442098595095 other: A. Granville, J. Van de Lune, and H. te Riele
  262 1667          5326001224    2725881414984 other: A. Granville, J. Van de Lune, and H. te Riele
  263 1669          6779284118    4254575195874 other: A. Granville, J. Van de Lune, and H. te Riele
  264 1693          6140155796    3627598328121 other: A. Granville, J. Van de Lune, and H. te Riele
  265 1697       13379358346    2204291337688 other: A. Granville, J. Van de Lune, and H. te Riele
  266 1699          6265215548    3670541108757 other: A. Granville, J. Van de Lune, and H. te Riele
  267 1709       10411487698    2281460300887 other: A. Granville, J. Van de Lune, and H. te Riele
  268 1721       11612140984    2023051887342 other: A. Granville, J. Van de Lune, and H. te Riele
  269 1723          9094081574    3285494811485 other: A. Granville, J. Van de Lune, and H. te Riele
  270 1733          8365829956    1844909558613 other: A. Granville, J. Van de Lune, and H. te Riele
  271 1741       13343484104    3431253214436 other: A. Granville, J. Van de Lune, and H. te Riele
  272 1747          6336872258    2897235441670 other: A. Granville, J. Van de Lune, and H. te Riele
  273 1753       10904258672    2555650263348 other: A. Granville, J. Van de Lune, and H. te Riele
  274 1759          3733858922    2697037380591 other: A. Granville, J. Van de Lune, and H. te Riele
  275 1777       11456065238    2282614444228 other: A. Granville, J. Van de Lune, and H. te Riele
  276 1783       11149410134    2096883558174 other: A. Granville, J. Van de Lune, and H. te Riele
  277 1787       26070202114*    1779537507086 other: M. Sinisalo
  278 1789*          721013438    2194826047009 other: A. Granville, J. Van de Lune, and H. te Riele
  279 1801       14747835332    2226248181399 other: A. Granville, J. Van de Lune, and H. te Riele
  280 1811       30325742068*    1544548596947 other: M. Sinisalo
  281 1823          7158083434    1358502212738 other: A. Granville, J. Van de Lune, and H. te Riele
  282 1831          5714500178    2023063344111 other: A. Granville, J. Van de Lune, and H. te Riele
  283 1847       15524252956    1458981817430 other: A. Granville, J. Van de Lune, and H. te Riele
  284 1861*       1847133842    1720912556378 other: A. Granville, J. Van de Lune, and H. te Riele
  285 1867       30834371756*    1445636822841 other: M. Sinisalo
  286 1871       18113547184    1353742255601 other: A. Granville, J. Van de Lune, and H. te Riele
  287 1873       32652627542*    1373730156292 other: M. Sinisalo
  288 1877*       7473202036    1225787163360 other: A. Granville, J. Van de Lune, and H. te Riele
  289 1879*       11001080372    1381804168230 other: A. Granville, J. Van de Lune, and H. te Riele
  290 1889       44460316708*    1200602775374 other: M. Sinisalo
  291 1901       24262503898    1040951570351 other: M. Sinisalo
  292 1907       64243962808*    939086931061 other: M. Sinisalo
  293 1913       36894311956    950593892681 other: M. Sinisalo
  294 1931       33177078862    851283973165 other: M. Sinisalo
  295 1933       22595187536    1205347004648 other: M. Sinisalo
  296 1949       21707707468    828778204501 other: M. Sinisalo
  297 1951       34795161788    1225497669463 other: M. Sinisalo
  298 1973       28721661454    752887479921 other: M. Sinisalo
  299 1979       55362713686    735111451708 other: M. Sinisalo
  300 1987       39309055208    1039839544581 other: M. Sinisalo
  301 1993       24477384122    894976181347 other: M. Sinisalo
  302 1997       65334725368*    665442680660 other: M. Sinisalo
  303 1999       33772162448    1011889354634 other: M. Sinisalo
  304 2003       19326123574    615191425346 other: A. Granville, J. Van de Lune, and H. te Riele
  305 2011       26828320928    991070801186 other: M. Sinisalo
  306 2017       15317795894    824894273275 other: A. Granville, J. Van de Lune, and H. te Riele
  307 2027       113843130358*    547793351514 other: M. Sinisalo
  308 2029*       12703943222    788493508878 other: A. Granville, J. Van de Lune, and H. te Riele
  309 2039       87577413208    575947971930 other: M. Sinisalo
  310 2053       47089346156    684735458188 other: M. Sinisalo
  311 2063       33103000402    465677627060 other: M. Sinisalo
  312 2069       41299698256    478198009726 other: M. Sinisalo
  313 2081       23052946318    427428703113 other: M. Sinisalo
  314 2083       54690831446    603585919349 other: M. Sinisalo
  315 2087       46601768854    395448501517 other: M. Sinisalo
  316 2089*       21248558888    609246094569 other: M. Sinisalo
  317 2099       81142629928    388769391116 other: M. Sinisalo
  318 2111       82550935288    339268412073 other: M. Sinisalo
  319 2113       54589600334    505246526063 other: M. Sinisalo
  320 2129       62018387188    330789751141 other: M. Sinisalo
  321 2131       48363033044    599214921904 other: M. Sinisalo
  322 2137       76390203434    515535273373 other: M. Sinisalo
  323 2141       61991890354    280720843192 other: M. Sinisalo
  324 2143       84671306222    429354810414 other: M. Sinisalo
  325 2153       244808993116*    260478162030 other: M. Sinisalo
  326 2161       36598357244    470994434735 other: M. Sinisalo
  327 2179       69702814772    427711796810 other: M. Sinisalo
  328 2203       67135383836    320748623730 other: M. Sinisalo
  329 2207       156450871168    249842051855 other: M. Sinisalo
  330 2213       205579630162    230545921870 other: M. Sinisalo
  331 2221       103745230298    393324391137 other: M. Sinisalo
  332 2237       86864428516    213224919082 other: M. Sinisalo
  333 2239       87576340262    339889357496 other: M. Sinisalo
  334 2243       160065596056    196038868272 other: M. Sinisalo
  335 2251       135432726068    342294232860 other: M. Sinisalo
  336 2267       110826619864    189304171453 other: M. Sinisalo
  337 2269       51082881932    306127853097 other: M. Sinisalo
  338 2273       45935527252    171228843386 other: M. Sinisalo
  339 2281       44055044804    285086961950 other: M. Sinisalo
  340 2287       128219357498    246453053458 other: M. Sinisalo
  341 2293       189806203142    203953437847 other: M. Sinisalo
  342 2297       138443125096    164328938266 other: M. Sinisalo
  343 2309       202715847766    169195232913 other: M. Sinisalo
  344 2311       104807323724    243989819228 other: M. Sinisalo
  345 2333       36241928692    136186624310 other: M. Sinisalo
  346 2339       189473553106    141162361375 other: M. Sinisalo
  347 2341       148904672408    209405453157 other: M. Sinisalo
  348 2347       192923568668    190929911432 other: M. Sinisalo
  349 2351       384619217512*    123296457277 other: M. Sinisalo
  350 2357       61756858888    112041306388 other: M. Sinisalo
  351 2371       130597240322    168730355154 other: M. Sinisalo
  352 2377       174259284494    170720120243 other: M. Sinisalo
  353 2381       235248716272    114792264283 other: M. Sinisalo
  354 2383       202126746632    136481727707 other: M. Sinisalo
  355 2389       106567534358    146528894372 other: M. Sinisalo
  356 2393       383922467602       94543195325 other: M. Sinisalo
  357 2399       248555037448    101449113699 other: M. Sinisalo
  358 2411       55883319202       89755135793 other: M. Sinisalo
  359 2417       205089192166       78630187476 other: M. Sinisalo
  360 2423       339809710642       72281211308 other: M. Sinisalo
  361 2437       142129015598    138098089087 other: M. Sinisalo
  362 2441       743891046202*    74409144170 other: J. Richstein
  363 2447       270250494718       65423616633 other: M. Sinisalo
  364 2459       838813974892*    67615941646 other: J. Richstein
  365 2467       67737199814    122395767771 other: M. Sinisalo
  366 2473       225557428436    101640833259 other: M. Sinisalo
  367 2477       624993098518       53278035560 other: J. Richstein
  368 2503       222040463342       91801100110 other: M. Sinisalo
  369 2521       237448810658    107318022124 other: M. Sinisalo
  370 2531       460449241078       54882817582 other: J. Richstein
  371 2539       168373659632       94623036010 other: M. Sinisalo
  372 2543       345760805146       48273305777 other: M. Sinisalo
  373 2549       282494443936       49300395440 other: M. Sinisalo
  374 2551       86667000968       85788489579 other: M. Sinisalo
  375 2557       270421326404       81906808263 other: M. Sinisalo
  376 2579       367109702632       46422235820 other: M. Sinisalo
  377 2591       253660986952       40145055067 other: M. Sinisalo
  378 2593       228363722252       64800944552 other: M. Sinisalo
  379 2609       216006151888       39636596389 other: M. Sinisalo
  380 2617       186534627128       69753952580 other: M. Sinisalo
  381 2621       610485918964       34226354767 other: J. Richstein
  382 2633       299005948744       31166236351 other: M. Sinisalo
  383 2647       459682915568       63892709355 other: J. Richstein
  384 2657       362703249124       29213799438 other: M. Sinisalo
  385 2659       605795428418       63577692918 other: J. Richstein
  386 2663       1578084723724*    26205172878 other: J. Richstein
  387 2671       166862465162       60853325594 other: M. Sinisalo
  388 2677       745130336024       49637060676 other: J. Richstein
  389 2683       701342054264       43025164913 other: J. Richstein
  390 2687       1347999094888       24855268899 other: J. Richstein
  391 2689       562791013622       50305347876 other: J. Richstein
  392 2693       791612184436       24137139882 other: J. Richstein
  393 2699       331631697022       24969681972 other: M. Sinisalo
  394 2707       584311671848       40323801481 other: J. Richstein
  395 2711       1226431944658       22126539007 other: J. Richstein
  396 2713       437080794596       34904096132 other: J. Richstein
  397 2719       460888484132       37893187917 other: J. Richstein
  398 2729       437609095912       20941821567 other: J. Richstein
  399 2731       647460449348       38979164627 other: J. Richstein
  400 2741       748462954312       18316195928 other: J. Richstein
（未完待续）

yangchuanju · 发表于 2022-6-24 08:53

本帖最后由 yangchuanju 于 2022-6-24 08:55 编辑

（接上楼）
  pi(p) p                S(p)             L(p) finder
  401 2749       407919394658       30825239022 other: J. Richstein
  402 2753       655150408492       15992261421 other: J. Richstein
  403 2767       773627161238       28604563799 other: J. Richstein
  404 2777       833848485466       15918146436 other: J. Richstein
  405 2789       992230004866       15578445365 other: J. Richstein
  406 2791       276253638698       27835926661 other: M. Sinisalo
  407 2797       994382723714       24897718083 other: J. Richstein
  408 2801       1516929820444       13976824235 other: J. Richstein
  409 2803*       35884080836       21316506670 other: M. Sinisalo
  410 2819       410944419826       13260572535 other: J. Richstein
  411 2833       1249144928894       19161040704 other: J. Richstein
  412 2837       2541246752056*    12381596801 other: J. Richstein
  413 2843       2363471032564       10526811124 other: J. Richstein
  414 2851       1076352147998       22585508035 other: J. Richstein
  415 2857       624782061038       19405693331 other: J. Richstein
  416 2861       1065161884768       10709811509 other: J. Richstein
  417 2879       1199137281028       10349459385 other: J. Richstein
  418 2887       461496917918       16995258022 other: J. Richstein
  419 2897       301224622498       9003834780 other: M. Sinisalo
  420 2903       1094157087004       8082053459 other: J. Richstein
  421 2909       414629617036       8269090925 other: J. Richstein
  422 2917       710330728508       14406774076 other: J. Richstein
  423 2927       2378137041718       7072661707 other: J. Richstein
  424 2939       1674739085602       7019259610 other: J. Richstein
  425 2953       569668298216       15095751605 other: J. Richstein
  426 2957       1565828564764       6475749061 other: J. Richstein
  427 2963       3228317220754*       5824005946 other: J. Richstein
  428 2969       6046500599278*       5614644245 other: J. Richstein
  429 2971       1787672970638       16083275381 other: J. Richstein
  430 2999       2292298493896       5151034569 other: J. Richstein
  431 3001       1390749343154       13585990116 other: J. Richstein
  432 3011       5336909705734       4921204668 other: J. Richstein
  433 3019       972478333208       14660965631 other: J. Richstein
  434 3023       7119550817194*       4460980181 other: J. Richstein
  435 3037       1661484238328       11551407066 other: J. Richstein
  436 3041       4205232034222       4225710363 other: J. Richstein
  437 3049       2556801121058       12551609176 other: J. Richstein
  438 3061*       105963812462       11239327423 other: M. Sinisalo
  439 3067       926868341768       9301395295 other: J. Richstein
  440 3079       726894732362       10113647368 other: J. Richstein
  441 3083       3610147729894       3567488618 other: J. Richstein
  442 3089       404693236876       3767476594 other: J. Richstein
  443 3109       1398885927848       9560609635 other: J. Richstein
  444 3119       5638532299342       3304179431 other: J. Richstein
  445 3121       1660938835928       8632553654 other: J. Richstein
  446 3137       7405567522324*       3211578572 other: J. Richstein
  447 3163*       244885595672       6965023480 other: M. Sinisalo
  448 3167       3490088483506       2860872773 other: J. Richstein
  449 3169       2526486008468       6809227045 other: J. Richstein
  450 3181       1331211761468       6437442118 other: J. Richstein
  451 3187       2468132984588       5441327110 other: J. Richstein
  452 3191       2516465553352       2827390454 other: J. Richstein
  453 3203    10770353852014*       2505366142 other: J. Richstein
  454 3209    10759534010272       2284131050 other: J. Richstein
  455 3217       1704195873656       5148832680 other: J. Richstein
  456 3221       5609475994378       2348192431 other: J. Richstein
  457 3229       2711630261372       5540628779 other: J. Richstein
  458 3251       9876332016118       2066320670 other: J. Richstein
  459 3253       1133384231324       4291807819 other: J. Richstein
  460 3257       6221351069566       1939337808 other: J. Richstein
  461 3259       1360687405082       4900085959 other: J. Richstein
  462 3271       2957684075378       4431170641 other: J. Richstein
  463 3299       4698952046818       1825589143 other: J. Richstein
  464 3301       3129140444072       4173853134 other: J. Richstein
  465 3307       2269778589896       3225618835 other: J. Richstein
  466 3313       2335563139556       3228305991 other: J. Richstein
  467 3319       1807752256172       3632116537 other: J. Richstein
  468 3323    17455158897256*       1642421664 other: J. Richstein
  469 3329       7165166519218       1517964042 other: J. Richstein
  470 3331       9259781990372       3087689958 other: J. Richstein
  471 3343    10899835899746       2588722784 other: J. Richstein
  472 3347    12934474075156       1405254396 other: J. Richstein
  473 3359       2022143209642       1325690460 other: J. Richstein
  474 3361       3127774073492       2642091284 other: J. Richstein
  475 3371       5650191828742       1330124476 other: J. Richstein
  476 3373       856626898346       2194404810 other: J. Richstein
  477 3389    12722149154392       1062061261 other: J. Richstein
  478 3391       4132445747072       2170823000 other: J. Richstein
  479 3407       2013291931786       1123514028 other: J. Richstein
  480 3413    12607260181834       1025221310 other: J. Richstein
  481 3433       3646771055516       1884611115 other: J. Richstein
  482 3449    18566952590488*       923477573 other: J. Richstein
  483 3457*       599533546358       1827652904 other: J. Richstein
  484 3461       4343184404518       913307098 other: J. Richstein
  485 3463*    3132059294006       1529031920 other: J. Richstein
  486 3467    12696959963686       867388060 other: J. Richstein
  487 3469       5709154164752       1920676098 other: J. Richstein
  488 3491    13037331683602       840566232 other: J. Richstein
  489 3499       6002373545822       1668895761 other: J. Richstein
  490 3511       9391442458172       1447216906 other: J. Richstein
  491 3517    16365320667236       1220347956 other: J. Richstein
  492 3527       6946303121224       713185656 other: J. Richstein
  493 3529*    3620821173302       1395939819 other: J. Richstein
  494 3533    13338440392714       685919436 other: J. Richstein
  495 3539    10184561520736       593464490 other: J. Richstein
  496 3541       9564455555762       1163803661 other: J. Richstein
  497 3547    14872572088436       978133348 other: J. Richstein
  498 3557    36361448359204*       573794666 other: J. Richstein
  499 3559    16761866586008       1054460236 other: J. Richstein
  500 3571       4948435324772       995381388 other: J. Richstein
  501 3581    25914112542244       565862917 other: J. Richstein
  502 3583    15720178881482       834254821 other: J. Richstein
  503 3593    22369342604122       529548671 other: J. Richstein
  504 3607       5811794280284       760308101 other: J. Richstein
  505 3613*    4438327672994       776674459 other: J. Richstein
  506 3617    28460705661604       475779564 other: J. Richstein
  507 3623    19157648794084       450751471 other: J. Richstein
  508 3631    12504001075268       717321810 other: J. Richstein
  509 3637    14971164766358       640786815 other: J. Richstein
  510 3643       9329868946082       563838079 other: J. Richstein
  511 3659    39028377647218*       387223570 other: J. Richstein
  512 3671    16921309300834       390101117 other: J. Richstein
  513 3673    18082210949162       499723730 other: J. Richstein
  514 3677    40854680372224*       351403619 other: J. Richstein
  515 3691    18685920631082       557656936 other: J. Richstein
  516 3697    30244790114468       498842446 other: J. Richstein
  517 3701    44776706182504*       340833363 other: J. Richstein
  518 3709    23601515214236       510985635 other: J. Richstein
  519 3719       5640479199778       296919740 other: J. Richstein
  520 3727    30163286702408       392300975 other: J. Richstein
  521 3733    23623850778716       404476893 other: J. Richstein
  522 3739    39572902756652       437694101 other: J. Richstein
  523 3761    54133015834948*       297352811 other: J. Richstein
  524 3767    36675014269414       261540872 other: J. Richstein
  525 3769*    5320503815888       355368596 other: J. Richstein
  526 3779    17653813892716       247083590 other: J. Richstein
  527 3793    21214305754232       295524956 other: J. Richstein
  528 3797    36952131726274       230474676 other: J. Richstein
  529 3803    37901635030684       217371842 other: J. Richstein
  530 3821    30680821911448       221309847 other: J. Richstein
  531 3823    25488962074592       297752845 other: J. Richstein
  532 3833    46467726675442       200073835 other: J. Richstein
  533 3847    33778075037288       283535202 other: J. Richstein
  534 3851    19160853390964       184703045 other: J. Richstein
  535 3853    32093856971702       232978592 other: J. Richstein
  536 3863    60913048745092*       179039392 other: J. Richstein
  537 3877    37118542212104       239295437 other: J. Richstein
  538 3881    44166503992822       149891519 other: J. Richstein
  539 3889    33447090293828       268271588 other: J. Richstein
  540 3907    45665845800728       199884637 other: J. Richstein
  541 3911    25540796471602       140960189 other: J. Richstein
  542 3917*    8342945544436       127215198 other: J. Richstein
  543 3919    46692123388622       220881407 other: J. Richstein
  544 3923    103252325578522*       126859878 other: J. Richstein
  545 3929    55261788907732       116546356 other: J. Richstein
  546 3931    30386435365064       219385997 other: J. Richstein
  547 3943    73831635353972       169048038 other: J. Richstein
  548 3947    42059764665298       107624919 other: J. Richstein
  549 3967    46913473677038       148259270 other: J. Richstein
  550 3989    52293946045486          99338140 other: J. Richstein
  551 4001    35177544103024          94513314 other: J. Richstein
  552 4003*    10591605900482       124858334 other: J. Richstein
  553 4007    50639538943834          81915521 other: J. Richstein
  554 4013    46719701570116          83581847 other: J. Richstein
  555 4019    43150729676722          77073187 other: J. Richstein
  556 4021    29739531558284       151775545 other: J. Richstein
  557 4027*    12982270197518       125806382 other: J. Richstein
  558 4049    54119342207146          66107599 other: J. Richstein
  559 4051    37857972828644       137416092 other: J. Richstein
  560 4057*    15197900994218       107641641 other: J. Richstein
  561 4073    129987700025542*       69499957 other: J. Richstein
  562 4079    143521252289068*       61631936 other: J. Richstein
  563 4091    86726157085714          57208304 other: J. Richstein
  564 4093    61167303827192       100593603 other: J. Richstein
  565 4099    60133340031008       119334232 other: J. Richstein
  566 4111    41987219089394       104569564 other: J. Richstein
  567 4127    194539179143308*       53033326 other: J. Richstein
  568 4129    68427567984998       100362851 other: J. Richstein
  569 4133    215285889979816*       49668230 other: J. Richstein
  570 4139    40796550185632          44346436 other: J. Richstein
  571 4153    105754978149182          76062681 other: J. Richstein
  572 4157    189651249911104          45409463 other: J. Richstein
  573 4159    63069466756028          88674033 other: J. Richstein
  574 4177    58205071010678          64010765 other: J. Richstein
  575 4201    31386019080608          73711950 other: J. Richstein
  576 4211    104555752423894          43493145 other: J. Richstein
  577 4217    37202662506748          35757500 other: J. Richstein
  578 4219    61604045504126          64662421 other: J. Richstein
  579 4229    187354496826082          33608871 other: J. Richstein
  580 4231    175793825550872          58996926 other: J. Richstein
  581 4241    280780621153342*       34428419 other: J. Richstein
  582 4243    145208174654282          50511420 other: J. Richstein
  583 4253    41447667186976          33053368 other: J. Richstein
  584 4259    178770325757722          25923510 other: J. Richstein
  585 4261    125054243348558          51488006 other: J. Richstein
  586 4271    101933757611404          27212278 other: J. Richstein
  587 4273    44961402203072          41510982 other: J. Richstein
  588 4283    61962655507006          27389970 other: J. Richstein
  589 4289    187980262495966          23165444 other: J. Richstein
  590 4297    103660819328516          39137962 other: J. Richstein
  591 4327*    28998050650046          38775920 other: J. Richstein
  592 4337    183416134817428          20840492 other: J. Richstein
  593 4339    105281854198958          41474877 other: J. Richstein
  594 4349    169009788285742          18333061 other: J. Richstein
  595 4357    89900105526536          30149365 other: J. Richstein
  596 4363    154760807850452          30878698 other: J. Richstein
  597 4373    319245515537554*       20464314 other: J. Richstein
  598 4391    80134481703088          17807349 other: J. Richstein
  599 4397    79120258685746          16903109 other: J. Richstein
  600 4409    151483694161222          14616143 other: J. Richstein
（未完待续）

yangchuanju · 发表于 2022-6-24 08:56

（接上楼）
  pi(p) p                S(p)             L(p) finder
  601 4421    235357981273372          14989384 other: J. Richstein
  602 4423    205717754207012          25974660 other: J. Richstein
  603 4441    121732937789132          30162134 other: J. Richstein
  604 4447    219820927178936          26006082 other: J. Richstein
  605 4451    306766660675162          13006094 other: J. Richstein
  606 4457    332638450261204*       12600978 other: J. Richstein
  607 4463    237256714157074          12066985 other: J. Richstein
  608 4481    208756652723734          10833266 other: J. Richstein
  609 4483    275875739332682          20823905 other: J. Richstein
  610 4493    78947170140562          10691277 other: J. Richstein
  611 4507    190105049864294          20603756 other: J. Richstein
  612 4513    296443500177992          19151846 other: J. Richstein
  613 4517    108383237337358          9376059 other: J. Richstein
  614 4519*    46878442766282          26820895 other: J. Richstein
  615 4523    445685413500946*          9310015 tos
  616 4547    270241192536934          7693055 other: J. Richstein
  617 4549    295190063104298          20518993 other: J. Richstein
  618 4561    195220260446864          20561901 other: J. Richstein
  619 4567    237349022418086          14381953 other: J. Richstein
  620 4583    267583421540542          7574552 other: J. Richstein
  621 4591    150226146109148          16144468 other: J. Richstein
  622 4597    162829358669606          12302086 other: J. Richstein
  623 4603    165058623213032          13390404 other: J. Richstein
  624 4621    557249554749362*       14633606 tos
  625 4637    226462242915418          6628263 other: J. Richstein
  626 4639    110806302930872          12965606 other: J. Richstein
  627 4643    650204506020934*          6698437 tos
  628 4649    593371531273756          5794700 tos
  629 4651    293656559816822          11522968 other: J. Richstein
  630 4657    304017572064104          9648589 other: J. Richstein
  631 4663    281080502757116          9205133 other: J. Richstein
  632 4673    631839556845394          5778307 tos
  633 4679    666956025101272*          4984212 tos
  634 4691    163890597233122          5262117 other: J. Richstein
  635 4703    531052161471136          4561398 tos
  636 4721    814410862537738*          4188829 tos
  637 4723    168562387596686          7929742 other: J. Richstein
  638 4729    380412267959216          9912669 other: J. Richstein
  639 4733    1025203842512482*          3873843 tos
  640 4751    704723814935092          3967116 tos
  641 4759    545650303989782          8095467 tos
  642 4783    311500814431484          6413947 other: J. Richstein
  643 4787    546839431114516          3381060 tos
  644 4789    304296964929788          8004449 other: J. Richstein
  645 4793    937193179402384          3173220 tos
  646 4799    428934602788672          2942256 tos
  647 4801    136873430013728          6617486 other: J. Richstein
  648 4813    522023355416996          5159286 tos
  649 4817    1246578722803144*          2872352 tos
  650 4831    843131501214698          6089079 tos
  651 4861    436113405286082          5035928 tos
  652 4871    994499754271138          2649064 tos
  653 4877    382420414707988          2477096 other: J. Richstein
  654 4889    646924391496706          2333503 tos
  655 4903    537481897630382          3810874 tos
  656 4909*    76903574497118          5211185 other: J. Richstein
  657 4919    401371527056098          2077530 tos
  658 4931    1188421461109702          1903155 tos
  659 4933    742062827652296          3214558 tos
  660 4937    1842054285136636*          1926140 tos
  661 4943    632807759909686          1688994 tos
  662 4951    575784651796964          4229258 tos
  663 4957    227314829533466          3687486 other: J. Richstein
  664 4967    1268439603230116          1625713 tos
  665 4969    444490028280068          3486374 tos
  666 4973    1006192523423392          1449438 tos
  667 4987    1030707362772908          2799384 tos
  668 4993    395463657403454          2413751 other: J. Richstein
  669 4999    1167046297504586          3277937 tos
  670 5003    959113135453846          1375697 tos
  671 5009    737801034701902          1280592 tos
  672 5011    1205370753616388          2550224 tos
  673 5021    1355158566433174          1331176 tos
  674 5023    1270930495116554          2011225 tos
  675 5039    1470778677304402          1132553 tos
  676 5051    2303608290775108*          999299 tos
  677 5059    255968130077006          2322375 other: J. Richstein
  678 5077*    184162477860248          1985516 other: J. Richstein
  679 5081    476270680693174          1006253 tos
  680 5087    2748443296352086*          944830 tos
  681 5099    839548222843702          833132 tos
  682 5101    804981256599692          1962945 tos
  683 5107    1560043769582726          1818999 tos
  684 5113    1925607693227576          1360973 tos
  685 5119    431030375418758          1861611 tos
  686 5147    2638536265697158          832975 tos
  687 5153    1775696889215944          749589 tos
  688 5167    1824729898506038          1387767 tos
  689 5171    1091546364766588          701901 tos
  690 5179    1197391478248508          1431611 tos
  691 5189    811091178052852          633759 tos
  692 5197    1267002709273148          1081526 tos
  693 5209*    217361316706568          1372451 other: J. Richstein
  694 5227    3771671520132578*          1013183 tos
  695 5231    1432547052931732          622061 tos
  696 5233    3247269203459984          930851 tos
  697 5237    2770848673261528          565164 tos
  698 5261    779733167901994          476880 tos
  699 5273    1019470337431054          489226 tos
  700 5279    1510441257300022          472475 tos
  701 5281    1603046687211902          996099 tos
  702 5297    1854543374782114          435324 tos
  703 5303    3301465480400656          399325 tos
  704 5309    3462505937696632          363560 tos
  705 5323    1244131809888392          671285 tos
  706 5333    4463039219937862*          362822 tos
  707 5347    2943347308264148          780791 tos
  708 5351    2971839340084684          309945 tos
  709 5381    715873234896172          290534 tos
  710 5387    1723569731821786          283930 tos
  711 5393    1884025092773716          245928 tos
  712 5399    2639468825560288          237941 tos
  713 5407    1314513172245608          652985 tos
  714 5413    741414367573184          650038 tos
  715 5417    3310743648824824          228626 tos
  716 5419    2260136517939302          811965 tos
  717 5431    1197323953000892          668847 tos
  718 5437    689896421219816          566256 tos
  719 5441    4304492821557652          209156 tos
  720 5443    2315187355497362          498872 tos
  721 5449    984867064009772          559614 tos
  722 5471    5122498676196358*          187122 tos
  723 5477    3931076667710644          180968 tos
  724 5479    1514070870352088          527668 tos
  725 5483    6198478168628056*          170169 tos
  726 5501 14211744403075144*          151993 jmr
  727 5503    2616084915185312          399754 tos
  728 5507    3737315604865174          147927 tos
  729 5519    1667489448793996          136869 tos
  730 5521    1969162217900114          469616 tos
  731 5527    3243787241829668          396812 tos
  732 5531    6832211411571514          129496 mos
  733 5557    4207386514609646          323399 tos
  734 5563    4197130177028186          272452 tos
  735 5569*    389965026819938          397215 other: J. Richstein
  736 5573    1191530316531406          121350 tos
  737 5581    3632073884716364          369616 tos
  738 5591    4964925440624782          106153 tos
  739 5623    4844883775419782          238400 tos
  740 5639    6196255346984272          107652 tos
  741 5641    3874537866700418          284068 tos
  742 5647    1195956847847198          216253 tos
  743 5651    7779716604634174             88052 tos
  744 5653    4306110661858442          184160 tos
  745 5657    5616446312121028             93311 tos
  746 5659    1216511835744038          244388 tos
  747 5669    3843252507072808             89018 tos
  748 5683    4274107528200212          146486 tos
  749 5689    3483998275326698          200406 tos
  750 5693    3320207005689466             84529 tos
  751 5701    2108171628317042          196569 tos
  752 5711    7882358838659152             65264 tos
  753 5717    8594064095905768             69435 tos
  754 5737    2832432989819018          158365 tos
  755 5741    5462642692003954             57754 tos
  756 5743    1940168013341732          115560 tos
  757 5749    1902080410232078          167518 tos
  758 5779    5232075503687588          156232 tos
  759 5783    8174727713470666             62182 tos
  760 5791    5552053312069358          141563 mos
  761 5801    4703988176310802             49651 tos
  762 5807 11263997676152314             53779 tos
  763 5813 13378830419435944             51187 tos
  764 5821    8633098097332208          133650 mos
  765 5827    9006902480202608             88778 tos
  766 5839    5570365500250022          114264 tos
  767 5843    5027985696708076             45294 tos
  768 5849    3748585504103722             44630 tos
  769 5851    8529291075616022             93477 tos
  770 5857    6972190803986624             76158 tos
  771 5861 11343017815346584             36396 tos
  772 5867    2722389421640026             38130 tos
  773 5869    6007915211072618             79628 tos
  774 5879 15812379959645512*          38319 jmr
  775 5881    3347688962970518             85650 tos
  776 5897    2944123558845526             32257 tos
  777 5903 20017986381370774*          29912 tos
  778 5923    7166993341790564             60018 tos
  779 5927 13831779443029906             27746 tos
  780 5939    5088418871970298             27373 tos
  781 5953    9986933101230056             45666 tos
  782 5981 14661095881092058             21205 tos
  783 5987 31821625829250454*          21413 rac
  784 6007 11332940427014156             60901 tos
  785 6011 17186894360502148             18793 jmr
  786 6029 18436129052512462             20686 tos
  787 6037    8979871592051018             45103 tos
  788 6043    5250147150955724             46355 tos
  789 6047 28536709742659696             18666 jmr
  790 6053    3295966989460702             17783 tos
  791 6067 19813149497859248             45628 tos
  792 6073 11121530760981296             38936 tos
  793 6079 10840200172553918             42529 tos
  794 6089    5099036274880432             17523 tos
  795 6091 15794318156113268             48590 mos
  796 6101 17303639685891154             13468 tos
  797 6113 11713102685565376             13363 tos
  798 6121    8972211529911284             36592 tos
  799 6131 48033787978024768*          11124 tos
  800 6133 13654324775079452             28534 jmr
（未完待续）

yangchuanju · 发表于 2022-6-24 08:58

（接上楼）
  pi(p) p                S(p)             L(p) finder
801 6143 26549604803378476             12929 tos
  802 6151    8245759786516094             34339 tos
  803 6163    9503088301329134             21188 tos
  804 6173 22953503174594164             12062 tos
  805 6197 12514980181655656             9982 tos
  806 6199    7121342801023478             34181 tos
  807 6203 11610266207703466             10239 tos
  808 6211    9905892141642122             31606 tos
  809 6217 15639249855170378             24541 tos
  810 6221 26097323832740308             8060 tos
  811 6229 13604611150214222             26143 tos
  812 6247 21636144661816448             17289 tos
  813 6257 40148397964416466             8746 tos
  814 6263 55104008958365746*             7717 cb
  815 6269 43246648395974602             8015 tos
  816 6271 19423100753088602             22564 tos
  817 6277 19382360992455698             16875 tos
  818 6287 42891738010792246             7005 tos
  819 6299 36240475119105898             6846 tos
  820 6301 42458734292726198             20705 tos
  821 6311 38323272716144062             5276 ap
  822 6317 24868756859567248             5695 tos
  823 6323 22099337142861406             5327 mos
  824 6329 37264490794630228             5252 tos
  825 6337    3171520076984306             15890 tos
  826 6343 26876395976568344             13447 tos
  827 6353 43550402910398044             4427 tos
  828 6359 42286011042648118             4540 tos
  829 6361 22404860349084734             16076 tos
  830 6367 13351065435160868             13442 tos
  831 6373 52360798353325706             9045 rac
  832 6379 18527425596680432             14615 tos
  833 6389 38438626538687038             4381 tos
  834 6397 10229460130673978             9957 tos
  835 6421 33439912470800534             11499 tos
  836 6427 12780506269757228             8808 tos
  837 6449 40676473206745678             3843 tos
  838 6451 10857011616183074             10570 tos
  839 6469* 1047610575836828             9676 tos
  840 6473 18195023926831132             3268 tos
  841 6481 25529718246420692             8093 tos
  842 6491 107157207101894788*             3001 tos
  843 6521 28143713868243112             2676 tos
  844 6529 28172001515326832             7567 tos
  845 6547    9724939950665108             5896 mos
  846 6551 72692986246230718             2588 tos
  847 6553 39919994199240776             5434 rac
  848 6563 10199417603778604             2526 tos
  849 6569 29353225229135386             2436 jmr
  850 6571 13026459314834048             6186 tos
  851 6577 37582138091958458             4784 tos
  852 6581 12435669441191338             2156 tos
  853 6599 50002471507434646             2260 cb
  854 6607 32147171476176956             3978 tos
  855 6619 49268575985609858             5463 tos
  856 6637 69579903212255708             3727 tos
  857 6653 60596003889796636             1960 tos
  858 6659 43461239395882066             1763 cb
  859 6661 19813392598810268             4543 tos
  860 6673 55403929031411936             3476 tos
  861 6679 49107124952984228             3971 cb
  862 6689 62582112388882246             1697 tos
  863 6691 101505234490540904             3486 tos
  864 6701 78291545862640048             1407 zig
  865 6703 87215399316613142             2757 cb
  866 6709 25948034545696232             2828 tos
  867 6719 104044674477917296             1388 tos
  868 6733 39238143306434906             2186 cb
  869 6737 44538434558257828             1466 tos
  870 6761 182745307201020658*             1123 zig
  871 6763 45755140064451872             2122 ap
  872 6779 120036009141787402             1130 tos
  873 6781 28153306267006754             2473 tos
  874 6791 68140707323278888             1027 tos
  875 6793 132366020408097824             1547 tos
  876 6803 66107214968255206             1026 tos
  877 6823 77253083671204052             1666 zig
  878 6827 91296475155788458             1053 tos
  879 6829 22486646892757382             2304 tos
  880 6833 130729762229329162             943 tos
  881 6841 59349615429517928             1973 cb
  882 6857 103515081403827826             935 tos
  883 6863 157056006040991374             745 zig
  884 6869 95072015361419176             754 tos
  885 6871 54015521319961304             1824 cb
  886 6883 47439274004765642             1167 tos
  887 6899 237098616193722886*             684 tos
  888 6907 38867243086995914             1305 cb
  889 6911 46099576909676464             547 tos
  890 6917 158320844909551306             714 zig
  891 6947 49074474489654154             608 tos
  892 6949 73606928965553936             1364 tos
  893 6959 42093234790658686             539 tos
  894 6961* 6253262345930828             1167 mos
  895 6967 88092239795020028             1183 tos
  896 6971 117725730668877208             445 tos
  897 6977 73790010687334726             489 tos
  898 6983 164834128990156816             435 zig
  899 6991 137599434579302054             1085 tos
  900 6997 50224175332779278             983 tos
  901 7001 27928915727999284             367 tos
  902 7013 296540042727113116*             412 tos
  903 7019 92263727875203538             397 jmr
  904 7027 113830137805633838             869 tos
  905 7039 90830328341790098             966 jmr
  906 7043 235719321865548826             309 tos
  907 7057 95604682570320758             665 tos
  908 7069 36930337404755348             875 tos
  909 7079 76813987085312986             282 tos
  910 7103 270758168867975392             273 zig
  911 7109 227777274594857542             230 tos
  912 7121 236639448162845818             221 tos
  913 7127 162100287588306328             265 zig
  914 7129 176560998792417818             739 zig
  915 7151 129064140354648484             207 tos
  916 7159 41483312429126378             713 tos
  917 7177 59776006689685028             587 rac
  918 7187 344205743816095468*             197 tos
  919 7193 145105504356170836             187 tos
  920 7207 46944667998123626             536 cb
  921 7211 147307202765149888             150 tos
  922 7213 89742326586997256             408 tos
  923 7219 83721166694551238             593 tos
  924 7229 79069884472986658             169 zig
  925 7237 76708652835972578             382 tos
  926 7243 72421307794846832             376 tos
  927 7247 266368258281708406             155 zig
  928 7253 71664044308897294             135 tos
  929 7283 281228462978508196             118 tos
  930 7297 137439227911284308             333 tos
  931 7307 370581106766909188*             114 tos
  932 7309 73915567746804362             484 tos
  933 7321 156155034733859522             391 zig
  934 7331 337185078130940938                89 tos
  935 7333 163336051279315652             307 zig
  936 7349 177693831114168058                83 zig
  937 7351 75712576894271684             370 tos
  938 7369 70572936592559636             293 tos
  939 7393 316749006282321632             246 tos
  940 7411 348157167417888614             261 tos
  941 7417 102789970104249548             205 tos
  942 7433 169664873817957304                79 zig
  943 7451 315821922553515604                78 tos
  944 7457 91338825468831154                88 jmr
  945 7459 100857141462333038             274 tos
  946 7477 101276866389029714             162 tos
  947 7481 324861662438212708                75 tos
  948 7487 183520899552540208                99 zig
  949 7489 411411629991722966*             222 tos
  950 7499 265007105737601116                66 zig
  951 7507 263052256365294848             112 zig
  952 7517 87679334724898516                55 cb
  953 7523 401359669315950424                64 sias
  954 7529 65230351339750738                50 tos
  955 7537 410020600370592866             124 tos
  956 7541 120575540671361758                37 tos
  957 7547 235734551878263358                67 tos
  958 7549 261342732402878012             184 zig
  959 7559* 24925556008175266                39 tos
  960 7561 253796373671525402             173 zig
  961 7573 324811966852545134             129 tos
  962 7577 558619547569907716*             35 zig
  963 7583 507607469960632726                35 tos
  964 7589 260443121028678262                38 zig
  965 7591 453025572624454682             129 tos
  966 7603 185278670959947596             115 zig
  967 7607 451903272391751218                36 tos
  968 7621 347930192195519972             120 tos
  969 7639 279024497221176038             124 tos
  970 7643 190529405166539434                31 zig
  971 7649 754276228832957188*             29 zig
  972 7669 84388604452661738             101 tos
  973 7673 423464103719736334                32 sias
  974 7681 535257658389794084                90 zig
  975 7687 380076531924595448                54 tos
  976 7691 813695622192168004*             32 zig
  977 7699 599438836559371352                61 tos
  978 7703  1473611722331822212*             21 tos
  979 7717 555848136215394608                41 zig
  980 7723 370176806916846842                65 tos
  981 7727  1118969798455877944                21 zig
  982 7741 532393675464535328                64 zig
  983 7753* 31284177910528922                62 tos
  984 7757 565150172610171514                27 tos
  985 7759 247596234820507616                42 zig
  986 7789 457346771465660282                38 tos
  987 7793  1040437820801903956                17 zig
  988 7817  1259878745734484518                26 zig
  989 7823 761259482804178802                16 zig
  990 7829 310122287566725472                17 tos
  991 7841  1231997054191346218                19 zig
  992 7853  1599566025914318344*             12 tos
  993 7867 553212160685817824                39 zig
  994 7873 258355363814618072                37 zig
  995 7877 409201138215429214                17 tos
  996 7879 344117841325693676                54 tos
  997 7883 295897010441876122                11 tos
  998 7901  1266054991241150632                9 zig
  999 7907 271360867042062976                17 zig
1000 7919 469080413658608056                8 tos
（未完待续）

yangchuanju · 发表于 2022-6-24 08:59

（接上楼）
  pi(p) p                S(p)             L(p) finder
1001 7927 578254178357008544                24 tos
1002 7933 756466311909490862                41 zig
1003 7937  1372570583727722284                6 zig
1004 7949  1793167785904803016*             15 tos
1005 7951 997244288638920962                29 tos
1006 7963 234975344818074572                25 tos
1007 7993 159534201689794142                23 zig
1008 8009  1594514770294406536                8 tos
1009 8011 566066715510500384                27 tos
1010 8017  1687526298993272048                16 tos
1011 8039  2043437180188810768*                5 tos
1012 8053  1720470937719428204                11 tos
1013 8059 628341795761523812                19 zig
1014 8069 882524278679459842                7 zig
1015 8081 892389837360825358                6 zig
1016 8087  2758163428100238178*                4 sp
1017 8089 488279732729300102                16 tos
1018 8093 656660833778862376                6 zig
1019 8101 301447762675720202                27 tos
1020 8111  2018116777877109814                2 tos
1021 8117 609509800586520508                7 zig
1022 8123  1305647054946680812                3 zig
1023 8147  1920487681740547918                4 ck
1024 8161  1993000121497375964                9 ck
1025 8167 363906211884077288                13 tos
1026 8171  1965113330650311724                5 tos
1027 8179 160774191816116822                19 zig
1028 8191 988625332613396552                10 zig
1029 8209  1018393673918310542                14 zig
1030 8219 934022866777249126                4 zig
1031 8221 823738435261370264                14 zig
1032 8231  2677683548162162104                2 zig
1033 8233 859914284993881646                19 zig
1034 8237 738589384938415324                4 zig
1035 8243  3244400084505812356*                1 sp
1036 8263  1799422646877385472                8 ck
1037 8269  1399332622376169692                11 zig
1038 8273  3511797567359760604*                1 sp
1039 8287  1513814360676555824                9 tos
1040 8291  1213299771334188358                2 tos
1041 8293  2328481725918409316                6 tos
1042 8297  2648563279291240546                2 zig
1043 8311 968018771038796678                10 zig
1044 8317  1174667755342897766                9 zig
1045 8329  2224807485527768942                2 zig
1046 8353  2885842437214951574                3 sp
1047 8363  1836184098133294216                3 zig
1048 8369  3714759793830649402*                1 tos
1049 8377  1687296458668651778                3 tos
1050 8387  3878297017437646306*                1 tos
1051 8389 935185881105028832                4 zig
1052 8419  1730120042260542848                4 tos
1053 8423                   ?*                0
1055 8431  2290653905851200938                3 tos
1056 8443*  121005022304007026                5 tos
1057 8447  2764135889801480338                1 sp
1058 8461  2565581056818705782                3 tos
1059 8467  2576438410505131868                5 tos
1060 8501*  255329126688555994                2 zig
1061 8513  3431343341961351016                1 sp
1062 8521  1176800594358737918                6 zig
1063 8527  1295157480539726954                2 zig
1065 8539 941908391556321548                5 zig
1066 8543  2297378342492406154                2 tos
1067 8563 280460266911644252                1 tos
1068 8573  1134059832934400206                2 zig
1069 8581  3663298595929927532                2 sp
1070 8597  2218708020325772974                3 zig
1071 8599  3556579867740673142                1 sp
1072 8609  1872496293265949398                1 zig
1073 8623  1211650031699177606                3 tos
1075 8629  1238289311132116112                4 zig
1076 8641 517711842598037624                4 tos
1077 8647  2725058671961297876                1 sp
1078 8663  1262364268433128726                2 zig
1080 8677  1928324890105696568                3 tos
1081 8681 771065232370426528                1 zig
1082 8689  1302376001194370768                1 zig
1083 8693  2046389249882424466                1 tos
1084 8699  2994288576612717268                1 tos
1085 8707  2171733197984232734                2 zig
1087 8719  1570806049003948202                2 tos
1088 8731  2390680417510189328                2 tos
1089 8737 764631157850242766                1 zig
1091 8747  3732282634272065914                1 tos
1093 8761  3239057563834411028                1 sp
1094 8779  2314720066740314852                2 tos
1098 8819  2717573047007392768                2 sp
1099 8821  1670956148143530128                1 tos
1100 8831  2408339849235552478                1 tos
1110 8929  3124359166604172278                1 sp
1111 8933*  258549426916149682                1 zig
1112 8941*  555274351556750822                4 zig
1113 8951 914477234251916254                1 ncsa
1116 8971  2588356991883139892                1 tos
1118 9001  3893009227433420582                1 tos
1128 9091  3164069160661844912                1 sp
1136 9161*  887123803077837868                1 zig
1141 9203  1348113579429547486                1 zig
1156 9341*  906030579562279642                1 ncsa
1189 9629* 2795935116574469638                1 sp
1206 9781* 3325581707333960528                1 sp
----- ----  -------------------  ----------------- ----------------------------------------------------
1053 8423                   ?                0
1054 8429                   ?                0
1064 8537                   ?                0
1074 8627                   ?                0
1079 8669                   ?                0
1086 8713                   ?                0
1090 8741                   ?                0
1092 8753                   ?                0
1095 8783                   ?                0
1096 8803                   ?                0
1097 8807                   ?                0
1101 8837                   ?                0
1102 8839                   ?                0
1103 8849                   ?                0
1104 8861                   ?                0
1105 8863                   ?                0
1106 8867                   ?                0
1107 8887                   ?                0
1108 8893                   ?                0
1109 8923                   ?                0
1114 8963                   ?                0
1115 8969                   ?                0
1117 8999                   ?                0
1119 9007                   ?                0
1120 9011                   ?                0
1121 9013                   ?                0
1122 9029                   ?                0
1123 9041                   ?                0
1124 9043                   ?                0
1125 9049                   ?                0
1126 9059                   ?                0
1127 9067                   ?                0
1129 9103                   ?                0
1130 9109                   ?                0
1131 9127                   ?                0
1132 9133                   ?                0
1133 9137                   ?                0
1134 9151                   ?                0
1135 9157                   ?                0
1137 9173                   ?                0
1138 9181                   ?                0
1139 9187                   ?                0
1140 9199                   ?                0
1142 9209                   ?                0
1143 9221                   ?                0
1144 9227                   ?                0
1145 9239                   ?                0
1146 9241                   ?                0
1147 9257                   ?                0
1148 9277                   ?                0
1149 9281                   ?                0
1150 9283                   ?                0
1151 9293                   ?                0
1152 9311                   ?                0
1153 9319                   ?                0
1154 9323                   ?                0
1155 9337                   ?                0
1157 9343                   ?                0
1158 9349                   ?                0
1159 9371                   ?                0
1160 9377                   ?                0
1161 9391                   ?                0
1162 9397                   ?                0
1163 9403                   ?                0
1164 9413                   ?                0
1165 9419                   ?                0
1166 9421                   ?                0
1167 9431                   ?                0
1168 9433                   ?                0
1169 9437                   ?                0
1170 9439                   ?                0
1171 9461                   ?                0
1172 9463                   ?                0
1173 9467                   ?                0
1174 9473                   ?                0
1175 9479                   ?                0
1176 9491                   ?                0
1177 9497                   ?                0
1178 9511                   ?                0
1179 9521                   ?                0
1180 9533                   ?                0
1181 9539                   ?                0
1182 9547                   ?                0
1183 9551                   ?                0
1184 9587                   ?                0
1185 9601                   ?                0
1186 9613                   ?                0
1187 9619                   ?                0
1188 9623                   ?                0
1190 9631                   ?                0
1191 9643                   ?                0
1192 9649                   ?                0
1193 9661                   ?                0
1194 9677                   ?                0
1195 9679                   ?                0
1196 9689                   ?                0
1197 9697                   ?                0
1198 9719                   ?                0
1199 9721                   ?                0
1200 9733                   ?                0
1201 9739                   ?                0
1202 9743                   ?                0
1203 9749                   ?                0
1204 9767                   ?                0
1205 9769                   ?                0
----- ----  -------------------  ----------------- ----------------------------------------------------
# EOF

白新岭 · 发表于 2022-6-24 11:10

如果是找到最小的那个偶数的确困难，但是想举出一个例子，还是非常容易的。偶数等于前m个素数的连乘积，假设下一个素数正好是它素数对的一份子，则此偶数就是下一个素数为最小素数的偶数。例如，主楼提到的30=2*3*5，素数7是它的下一个素数，所以偶数30的素数对中最小素数为7（当然素数7必须是它素数对的一元素才可以，意即偶数-最小素数的差值也是素数）。
接下来是偶数=2*3*5*7=210了，下一个素数是11，那么，素数11是否为组成偶数210的素数对中的最小素数呢？检验210-11=199,199的开方是14.1多点，14以内有素数3,5,7,11,13，皆不能除尽，说明199是素数。证明素数11是偶数210素数对中的最小素数。
那么下一个偶数2310（2*3*5*7*11）的最小素数是不是13呢？

yangchuanju · 发表于 2022-6-24 11:22

白新岭发表于 2022-6-24 11:10
如果是找到最小的那个偶数的确困难，但是想举出一个例子，还是非常容易的。偶数等于前m个素数的连乘积，假 ...

素数11是偶数210素数对中的一个小素数，但以素数11为素数对小素数的最小偶数不是210，而是124：
n=210 n=124
1,n= 11 + 199 1,n= 11 + 113
2,n= 13 + 197 2,n= 17 + 107
3,n= 17 + 193 3,n= 23 + 101
4,n= 19 + 191 4,n= 41 + 83
5,n= 29 + 181 5,n= 53 + 71
6,n= 31 + 179 That is all!!!
7,n= 37 + 173
8,n= 43 + 167
9,n= 47 + 163
10,n= 53 + 157
11,n= 59 + 151
12,n= 61 + 149
13,n= 71 + 139
14,n= 73 + 137
15,n= 79 + 131
16,n= 83 + 127
17,n= 97 + 113
18,n= 101 + 109
19,n= 103 + 107
That is all!!!

yangchuanju · 发表于 2022-6-24 11:23

4*10^18内共有大约4*10^18/ln(4*10^18)≈9.33863*10^16个素数，实际可能是9.56763*10^16个（按素数定理计算值的1.0245倍）；
3与这些素数之和都是偶数，又由于3是最小奇素数，故以3为小素数的素数对为9.36763*10^16。
5与这些素数之和也都是偶数，由于5是第2个最小奇素数，故以5为小素数的素数对少一些，为9.36763*10^16；
两者差3.02346*10^15即为即含素数3，又含素数5的素数对数。

以7为小素数对的最小偶数是30，小于等于28的偶数之和可能也含有7+q素数对，例18=7+11,20=7+13,24=7+17,26=7=19，
但它们不是最小的了：18还等于5+13,20=3+17,24=5=19,26=3+23;
以11为小素数对的最小偶数是124，小于等于122的偶数之和可能也含有11+q素数对，但它们都不是最小的了！

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以第n个素数为偶数素数对p+q的最小偶数S(p)及4*10^18以内素数对个数L(p)表

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