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数学研发论坛»论坛 › 【数学研究】 › 趣题妙解 › 平方逆素数
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[讨论] 平方逆素数

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suan1024
发表于 2009-1-8 19:03:42 | 显示全部楼层
  1. [可能的] 24 = 138242831
  2. [可能的] 33 = 359373953
  3. [可能的] 45 = 911252119
  4. [可能的] 50 = 12500000521
  5. [可能的] 89 = 70496969407
  6. [可能的] 97 = 91267376219
  7. [可能的] 107 = 1225043405221
  8. [可能的] 154 = 3652264622563
  9. [可能的] 193 = 7189057509817
  10. [可能的] 215 = 9938375738399
  11. [可能的] 247 = 150692232296051
  12. [可能的] 256 = 167772161277761
  13. [可能的] 266 = 188210969012881
  14. [可能的] 315 = 312558757855213
  15. [可能的] 324 = 340122242221043
  16. [可能的] 449 = 905188494881509
  17. [可能的] 467 = 10184756365748101
  18. [可能的] 483 = 11267858785876211
  19. [可能的] 541 = 15834042124043851
  20. [可能的] 578 = 19310055255001391
  21. [可能的] 711 = 35942543134524953
  22. [可能的] 894 = 71451698489615417
  23. [可能的] 916 = 76857529692575867
  24. [可能的] 919 = 77615155955151677
  25. [可能的] 920 = 77868800000886877
  26. [可能的] 997 = 99102697379620199
  27. [可能的] 1035 = 1108717875787178011
  28. [可能的] 1049 = 1154320649460234511
  29. [可能的] 1058 = 1184287112117824811
  30. [可能的] 1081 = 1263214441444123621
  31. [可能的] 1095 = 1312932375732392131
  32. [可能的] 1101 = 1334633301033364331
  33. [可能的] 1104 = 1345572864682755431
  34. [可能的] 1118 = 1397415032305147931
  35. [可能的] 1152 = 1528823808083288251
  36. [可能的] 1159 = 1556862679762686551
  37. [可能的] 1161 = 1564936281826394651
  38. [可能的] 1177 = 1630532233322350361
  39. [可能的] 1188 = 1676676672766766761
  40. [可能的] 1190 = 1685159000009515861
  41. [可能的] 1199 = 1723683599953863271
  42. [可能的] 1207 = 1758416743476148571
  43. [可能的] 1242 = 1915864488844685191
  44. [可能的] 1249 = 1948441249421448491
  45. [可能的] 1256 = 1981385216125831891
  46. [可能的] 1461 = 3118535181815358113
  47. [可能的] 1565 = 3833037125217303383
  48. [可能的] 1579 = 3936827539357286393
  49. [可能的] 1939 = 7290099019109900927
  50. [可能的] 1966 = 7598896696966988957
  51. [可能的] 2082 = 9024895368635984209
  52. [可能的] 2087 = 9090072503052700909
  53. [可能的] 2094 = 9181846584856481819
  54. [可能的] 2119 = 9514651159511564159
  55. [可能的] 2142 = 9827847288827487289
  56. [可能的] 2154 = 9993948264628493999
  57. [可能的] 2163 = 101197447474744791101
  58. [可能的] 2197 = 106044993737399440601
  59. [可能的] 2230 = 110895670000076598011
  60. [可能的] 2260 = 115431760000067134511
  61. [可能的] 2313 = 123744782979287447321
  62. [可能的] 2317 = 124387890131098783421
  63. [可能的] 2336 = 127473090565090374721
  64. [可能的] 2373 = 133626691171196626331
  65. [可能的] 2403 = 138759048272840957831
  66. [可能的] 2404 = 138932352646253239831
  67. [可能的] 2434 = 144198825040528891441
  68. [可能的] 2435 = 144376628757826673441
  69. [可能的] 2440 = 145267840000048762541
  70. [可能的] 2495 = 155314373757373413551
  71. [可能的] 2503 = 156813175272571318651
  72. [可能的] 2511 = 158321588313885123851
  73. [可能的] 2521 = 160220667616766022061
  74. [可能的] 2527 = 161367371838173763161
  75. [可能的] 2558 = 167379251121152973761
  76. [可能的] 2574 = 170539752242257935071
  77. [可能的] 2576 = 170937589767985739071
  78. [可能的] 2588 = 173337614727416733371
  79. [可能的] 2597 = 175152301737103251571
  80. [可能的] 2634 = 182745761040167547281
  81. [可能的] 2641 = 184206607212706602481
  82. [可能的] 2642 = 184415932888239514481
  83. [可能的] 2664 = 189061309444903160981
  84. [可能的] 2688 = 194217246727642712491
  85. [可能的] 2696 = 195956495363594659591
  86. [可能的] 2701 = 197048781010187840791
  87. [可能的] 2708 = 198584789121987485891
  88. [可能的] 3139 = 309295746191647592903
  89. [可能的] 3165 = 317045171252171540713
  90. [可能的] 3167 = 317646584636485646713
  91. [可能的] 3176 = 320362357767753263023
  92. [可能的] 3218 = 333240762323267042333
  93. [可能的] 3226 = 335732271767172237533
  94. [可能的] 3230 = 336982670000076289633
  95. [可能的] 3256 = 345186012161210681543
  96. [可能的] 3257 = 345504155939551405543
  97. [可能的] 3269 = 349337141090141733943
  98. [可能的] 3273 = 350621074171470126053
  99. [可能的] 3290 = 356112890000098211653
  100. [可能的] 3296 = 358064783363387460853
  101. [可能的] 3312 = 363304673282376403363
  102. [可能的] 3354 = 377302058646850203773
  103. [可能的] 3356 = 377977420161024779773
  104. [可能的] 3381 = 386487553414355784683
  105. [可能的] 4123 = 700874088676880478007
  106. [可能的] 4143 = 711123122070221321117
  107. [可能的] 4177 = 728774932333239477827
  108. [可能的] 4201 = 741409326010623904147
  109. [可能的] 4203 = 742468734272437864247
  110. [可能的] 4204 = 742998816646618899247
  111. [可能的] 4207 = 744590577434775095447
  112. [可能的] 4284 = 786227783040387722687
  113. [可能的] 4298 = 793961115929511169397
  114. [可能的] 4550 = 941963750000057369149
  115. [可能的] 4595 = 970189448757844981079
  116. [可能的] 4603 = 975265642272246562579
  117. [可能的] 4609 = 979084385292583480979
  118. [可能的] 4622 = 987392498484894293789
  119. [可能的] 4635 = 995747478757874747599
  120. [可能的] 4658 = 10106445831213854460101
  121. [可能的] 4681 = 10256895324142359865201
  122. [可能的] 4692 = 10329374188888147392301
  123. [可能的] 4757 = 10764638609390683646701
  124. [可能的] 4759 = 10778221747974712287701
  125. [可能的] 4766 = 10825852709690725852801
  126. [可能的] 4786 = 10962713965656931726901
  127. [可能的] 4805 = 11093796012521069739011
  128. [可能的] 4817 = 11177120651315602177111
  129. [可能的] 4835 = 11302888287578288820311
  130. [可能的] 4847 = 11387255342324355278311
  131. [可能的] 4861 = 11486212938183921268411
  132. [可能的] 4884 = 11650027910401972005611
  133. [可能的] 4898 = 11750499879297899405711
  134. [可能的] 4903 = 11786522232723222568711
  135. [可能的] 4914 = 11866030394449303066811
  136. [可能的] 4937 = 12033428495359482433021
  137. [可能的] 4938 = 12040742167276124704021
  138. [可能的] 4960 = 12202393600000639320221
  139. [可能的] 4962 = 12217160512821506171221
  140. [可能的] 4965 = 12239333212521233393221
  141. [可能的] 4995 = 12462537487578473526421
  142. [可能的] 5009 = 12567621572927512676521
  143. [可能的] 5014 = 12605294274447249250621
  144. [可能的] 5073 = 13055532401710423555031
  145. [可能的] 5107 = 13319796004340069791331
  146. [可能的] 5120 = 13421772800000827712431
  147. [可能的] 5129 = 13492676168986167629431
  148. [可能的] 5148 = 13643180179297108134631
  149. [可能的] 5149 = 13651132294949223115631
  150. [可能的] 5193 = 14004092405750429040041
  151. [可能的] 5268 = 14619660883238806691641
  152. [可能的] 5271 = 14644651751115715644641
  153. [可能的] 5288 = 14786804787278740868741
  154. [可能的] 5375 = 15528710937573901782551
  155. [可能的] 5377 = 15546051763336715064551
  156. [可能的] 5394 = 15693970298489207939651
  157. [可能的] 5420 = 15922008800000880022951
  158. [可能的] 5429 = 16001456858985865410061
  159. [可能的] 5434 = 16045708650405680754061
  160. [可能的] 5438 = 16081168767276786118061
  161. [可能的] 5532 = 16929592876867829592961
  162. [可能的] 5549 = 17086148414941484168071
  163. [可能的] 5576 = 17336774297679247763371
  164. [可能的] 5588 = 17448945747274754984471
  165. [可能的] 5593 = 17495826285758262859471
  166. [可能的] 5596 = 17523994873637849932571
  167. [可能的] 5599 = 17552193679997639125571
  168. [可能的] 5639 = 17931073211911237013971
  169. [可能的] 5740 = 18911922400000422911981
  170. [可能的] 6706 = 30157174381618347175103
  171. [可能的] 6708 = 30184164691219646148103
  172. [可能的] 6714 = 30265232234443223256203
  173. [可能的] 6736 = 30563721625652612736503
  174. [可能的] 6746 = 30700044893639844000703
  175. [可能的] 6762 = 30919004272827240091903
  176. [可能的] 6765 = 30960174712521747106903
  177. [可能的] 6774 = 31083905282428250938013
  178. [可能的] 6801 = 31457074040104047075413
  179. [可能的] 6811 = 31596038973137983069513
  180. [可能的] 6818 = 31693557543234575539613
  181. [可能的] 6853 = 32184161247774216148123
  182. [可能的] 6915 = 33065611087578011656033
  183. [可能的] 6916 = 33079958329692385997033
  184. [可能的] 6945 = 33497835862526853879433
  185. [可能的] 6980 = 34006839200000293860043
  186. [可能的] 6994 = 34211875578487557811243
  187. [可能的] 7024 = 34654010982428901045643
  188. [可能的] 7051 = 35055175365156357155053
  189. [可能的] 7085 = 35564733912521933746553
  190. [可能的] 7117 = 36048807061316070884063
  191. [可能的] 7120 = 36094412800000821449063
  192. [可能的] 7131 = 36261962909190926916263
  193. [可能的] 7152 = 36583269580808596238563
  194. [可能的] 7160 = 36706169600000696160763
  195. [可能的] 7247 = 38060525822322852506083
  196. [可能的] 7265 = 38344833462526433844383
  197. [可能的] 7305 = 38981689762526798618983
  198. [可能的] 7349 = 39690332954945923309693
  199. [可能的] 7351 = 39722746455155464722793
  200. [可能的] 7357 = 39820092829392829002893
  201. [可能的] 8892 = 70306966828882866960307
  202. [可能的] 8913 = 70806270449794407260807
  203. [可能的] 8952 = 71739809740804790893717
  204. [可能的] 8956 = 71836018681618681063817
  205. [可能的] 8958 = 71884155391219355148817
  206. [可能的] 8990 = 72657269900000996275627
  207. [可能的] 9003 = 72972924302720342927927
  208. [可能的] 9010 = 73143270100000107234137
  209. [可能的] 9070 = 74614264300000346241647
  210. [可能的] 9089 = 75084157196969175148057
  211. [可能的] 9105 = 75481383262526238318457
  212. [可能的] 9114 = 75705437354445373450757
  213. [可能的] 9136 = 76254990745654709945267
  214. [可能的] 9140 = 76355194400000449155367
  215. [可能的] 9141 = 76380259022122095208367
  216. [可能的] 9154 = 76706598426462489560767
  217. [可能的] 9155 = 76731739887578893713767
  218. [可能的] 9160 = 76857529600000692575867
  219. [可能的] 9176 = 77260980377677308906277
  220. [可能的] 9192 = 77665840588888504856677
  221. [可能的] 9196 = 77767276153635167276777
  222. [可能的] 9273 = 79737162941714926173797
  223. [可能的] 9672 = 90479223244844232297409
  224. [可能的] 9711 = 91578149243134294187519
  225. [可能的] 9737 = 92315687855355878651329
  226. [可能的] 9754 = 92800059306460395000829
  227. [可能的] 9770 = 93257483300000338475239
  228. [可能的] 9785 = 93687681162526118678639
  229. [可能的] 9820 = 94696616800000861669649
  230. [可能的] 9827 = 94899269228382296299849
  231. [可能的] 9842 = 95334497568886579443359
  232. [可能的] 9852 = 95625387820802878352659
  233. [可能的] 9886 = 96618839845654893881669
  234. [可能的] 9937 = 98121881995359918812189
  235. [可能的] 9945 = 98359058362526385095389
  236. [可能的] 9956 = 98685799481618499758689
  237. [可能的] 9963 = 98894101934743910149889
  238. [可能的] 9995 = 99850074987578947005899
  239. 立方逆素数 共计 238
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suan1024
发表于 2009-1-8 19:07:14 | 显示全部楼层
another
  1. [确定的] 3 = 727
  2. [可能的] 19 = 9586859
  3. [可能的] 43 = 705979507
  4. [可能的] 117 = 3161061601613
  5. [可能的] 131 = 1908422248091
  6. [可能的] 171 = 1120005000211
  7. [可能的] 179 = 9335375735339
  8. [可能的] 191 = 1787696967871
  9. [可能的] 193 = 7509817189057
  10. [可能的] 199 = 9950887880599
  11. [可能的] 207 = 3479688869743
  12. [可能的] 229 = 989800212008989
  13. [可能的] 231 = 193623212326391
  14. [可能的] 237 = 350213313312053
  15. [可能的] 273 = 714643020346417
  16. [可能的] 287 = 309936323639903
  17. [可能的] 351 = 155342343243551
  18. [可能的] 361 = 188540747045881
  19. [可能的] 537 = 35145845154854153
  20. [可能的] 621 = 16038493239483061
  21. [可能的] 707 = 34239335353393243
  22. [可能的] 709 = 92800465356400829
  23. [可能的] 731 = 19871609390617891
  24. [可能的] 787 = 30434478487443403
  25. [可能的] 793 = 75277689498677257
  26. [可能的] 797 = 37516260506261573
  27. [可能的] 877 = 33162547674526133
  28. [可能的] 887 = 30146879697864103
  29. [可能的] 921 = 16992218781229961
  30. [可能的] 957 = 39476467876467493
  31. [可能的] 973 = 71376112921167317
  32. [可能的] 1011 = 1334633301033364331
  33. [可能的] 1021 = 1622334601064332261
  34. [可能的] 1027 = 3866023801083206683
  35. [可能的] 1039 = 9132261211121622319
  36. [可能的] 1051 = 1565390611160935651
  37. [可能的] 1057 = 3912390811180932193
  38. [可能的] 1063 = 7407511021201157047
  39. [可能的] 1071 = 1190848221228480911
  40. [可能的] 1077 = 3353429421249243533
  41. [可能的] 1113 = 7989478731378749897
  42. [可能的] 1123 = 7687426141416247867
  43. [可能的] 1143 = 7021723941493271207
  44. [可能的] 1231 = 1939045681865409391
  45. [可能的] 1263 = 7448964102014698447
  46. [可能的] 1331 = 1967497532357947691
  47. [可能的] 1361 = 1888001252521008881
  48. [可能的] 1403 = 7287761672761677827
  49. [可能的] 1459 = 9755475013105745579
  50. [可能的] 1463 = 7489531313131359847
  51. [可能的] 1623 = 7631915724275191367
  52. [可能的] 1671 = 1174385664665834711
  53. [可能的] 1677 = 3375726174716275733
  54. [可能的] 1689 = 9675428184818245769
  55. [可能的] 1721 = 1638237905097328361
  56. [可能的] 1739 = 9146498525258946419
  57. [可能的] 1767 = 3664807155517084663
  58. [可能的] 1779 = 9312520365630252139
  59. [可能的] 1797 = 3758882085802888573
  60. [可能的] 1889 = 9638550476740558369
  61. [可能的] 1941 = 1260862137312680621
  62. [可能的] 1951 = 1538826247426288351
  63. [可能的] 2051 = 1568377268627738651
  64. [可能的] 2061 = 1892554578754552981
  65. [可能的] 2107 = 3409193539353919043
  66. [可能的] 2129 = 9862999469649992689
  67. [可能的] 2149 = 9493154299924513949
  68. [可能的] 2157 = 398367530010035763893
  69. [可能的] 2211 = 139915808010808519931
  70. [可能的] 2217 = 313257698010896752313
  71. [可能的] 2259 = 979958725111527859979
  72. [可能的] 2281 = 140459768111867954041
  73. [可能的] 2353 = 779046720313027640977
  74. [可能的] 2421 = 164460091414190064461
  75. [可能的] 2551 = 151098006616600890151
  76. [可能的] 2849 = 940667421323124766049
  77. [可能的] 3023 = 761377526727625773167
  78. [可能的] 3113 = 798363761030167363897
  79. [可能的] 3151 = 159156582131285651951
  80. [可能的] 3187 = 302062073232370260203
  81. [可能的] 3281 = 140738913535319837041
  82. [可能的] 3283 = 781664483535384466187
  83. [可能的] 3493 = 751462816242618264157
  84. [可能的] 3511 = 138125082343280521831
  85. [可能的] 3517 = 314987205343502789413
  86. [可能的] 3613 = 793762361747163267397
  87. [可能的] 3633 = 731738059747950837137
  88. [可能的] 3729 = 984983358151853389489
  89. [可能的] 3761 = 180008991353199800081
  90. [可能的] 3777 = 334856188353881658433
  91. [可能的] 3807 = 349897571555175798943
  92. [可能的] 3827 = 382079940656049970283
  93. [可能的] 3831 = 191509522656225905191
  94. [可能的] 3849 = 940961220757022169049
  95. [可能的] 3851 = 150401111757111104051
  96. [可能的] 3893 = 759261000959000162957
  97. [可能的] 4081 = 144362769767967263441
  98. [可能的] 4117 = 316968187969781869613
  99. [可能的] 4143 = 702213211171112312207
  100. [可能的] 4213 = 795190877474778091597
  101. [可能的] 4267 = 361205096777690502163
  102. [可能的] 4287 = 309760887878788067903
  103. [可能的] 4297 = 370607043979340706073
  104. [可能的] 4303 = 721625376979673526127
  105. [可能的] 4311 = 132237811080118732231
  106. [可能的] 4371 = 118657015383510756811
  107. [可能的] 4467 = 365519431989134915563
  108. [可能的] 4543 = 700192267393762291007
  109. [可能的] 4607 = 345630187797781036543
  110. [可能的] 4609 = 925834809797908438529
  111. [可能的] 4627 = 388930060999060039883
  112. [可能的] 4637 = 358207307999703702853
  113. [可能的] 4657 = 39318399900100999381393
  114. [可能的] 4663 = 74226209310101390262247
  115. [可能的] 4723 = 76018645350105354681067
  116. [可能的] 4749 = 94710240170107104201749
  117. [可能的] 4759 = 97471228770107782217479
  118. [可能的] 4761 = 18036181970107918163081
  119. [可能的] 4863 = 74636930051115003963647
  120. [可能的] 4873 = 71668841751115714886617
  121. [可能的] 4881 = 14892758261116285729841
  122. [可能的] 4923 = 76487431391119313478467
  123. [可能的] 4983 = 78003392732123729330087
  124. [可能的] 5109 = 92001545333133354510029
  125. [可能的] 5197 = 37308746304140364780373
  126. [可能的] 5209 = 92344393314141339344329
  127. [可能的] 5221 = 16880481324142318408861
  128. [可能的] 5293 = 75788878284148287888757
  129. [可能的] 5311 = 13259850894149805895231
  130. [可能的] 5317 = 31009141305150314190013
  131. [可能的] 5389 = 96887630565156503678869
  132. [可能的] 5427 = 38498773895159837789483
  133. [可能的] 5619 = 95619590477177409591659
  134. [可能的] 5623 = 76393788777177788739367
  135. [可能的] 5691 = 17345171348184317154371
  136. [可能的] 5719 = 95990115078187051109959
  137. [可能的] 5773 = 71942899329192399824917
  138. [可能的] 5781 = 14549700239193200794541
  139. [可能的] 5957 = 39420298311211389202493
  140. [可能的] 5979 = 93782993731213739928739
  141. [可能的] 5991 = 17275492051215029457271
  142. [可能的] 6059 = 97336843422222434863379
  143. [可能的] 6171 = 11283399943234999338211
  144. [可能的] 6173 = 71799872253235227899717
  145. [可能的] 6341 = 12890706945254960709821
  146. [可能的] 6387 = 30620894506260549802603
  147. [可能的] 6431 = 19906717956265971760991
  148. [可能的] 6437 = 35459861766266716895453
  149. [可能的] 6443 = 70302436476267463420307
  150. [可能的] 6567 = 36268050238283205086263
  151. [可能的] 6579 = 93524406748284760442539
  152. [可能的] 6593 = 75890228568286582209857
  153. [可能的] 6611 = 13177853988288935877131
  154. [可能的] 6689 = 96706048299299284060769
  155. [可能的] 6709 = 92885667910301976658829
  156. [可能的] 6779 = 93176872511311527867139
  157. [可能的] 6833 = 73511023091319032011537
  158. [可能的] 7097 = 37610575475357457501673
  159. [可能的] 7181 = 14701900307370300910741
  160. [可能的] 7273 = 71455461748384716455417
  161. [可能的] 7313 = 79231099019391099013297
  162. [可能的] 7387 = 30690129030403092109603
  163. [可能的] 7417 = 31708132080408023180713
  164. [可能的] 7419 = 95014335380408353341059
  165. [可能的] 7521 = 16718682452425428681761
  166. [可能的] 7551 = 15150993503430539905151
  167. [可能的] 7621 = 16044942624442624944061
  168. [可能的] 7707 = 34222297775457779222243
  169. [可能的] 7929 = 98062688489498488626089
  170. [可能的] 8019 = 95807665651515656670859
  171. [可能的] 8043 = 70555400302520300455507
  172. [可能的] 8163 = 74768973934543937986747
  173. [可能的] 8181 = 14739144574547544193741
  174. [可能的] 8253 = 77201482126562128410277
  175. [可能的] 8291 = 17168982996569928986171
  176. [可能的] 8361 = 18894768448584486749881
  177. [可能的] 8393 = 75447432219591223474457
  178. [可能的] 8519 = 95326425281618252462359
  179. [可能的] 8539 = 91849071622622617094819
  180. [可能的] 8599 = 99754143853635834145799
  181. [可能的] 8647 = 32065414564646541456023
  182. [可能的] 8651 = 15481193474647439118451
  183. [可能的] 8711 = 13492930016661003929431
  184. [可能的] 8743 = 70484351386668315348407
  185. [可能的] 8767 = 36635143837673834153663
  186. [可能的] 8887 = 30102348810701884320103
  187. [可能的] 8953 = 77193583671717638539177
  188. [可能的] 9051 = 15695336414741463359651
  189. [可能的] 9129 = 98635489706760798453689
  190. [可能的] 9139 = 91625310336763301352619
  191. [可能的] 9151 = 15996021366766312069951
  192. [可能的] 9189 = 96281289857775898218269
  193. [可能的] 9219 = 95405422538783522450459
  194. [可能的] 9267 = 36173842859795824837163
  195. [可能的] 9357 = 39222673291819237622293
  196. [可能的] 9429 = 98506059283838295060589
  197. [可能的] 9431 = 19990682883838828609991
  198. [可能的] 9437 = 35461603404840430616453
  199. [可能的] 9441 = 12135799414841499753121
  200. [可能的] 9537 = 35171813476867431817153
  201. [可能的] 9557 = 39613500927872900531693
  202. [可能的] 9641 = 12716102169896120161721
  203. [可能的] 9691 = 17362943101910134926371
  204. [可能的] 9727 = 38532551302920315523583
  205. [可能的] 9737 = 35587865132923156878553
  206. [可能的] 9803 = 72642665024942056624627
  207. [可能的] 9823 = 76742343874947834324767
  208. [可能的] 9911 = 13052963537973536925031
  209. [可能的] 9943 = 70848279928982997284807
  210. [可能的] 9947 = 32112148148984184121123
  211. 立方逆素数 共计 210
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毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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无心人
 楼主| 发表于 2009-1-8 20:07:20 | 显示全部楼层
你手很快啊 这个的数量和平方的比，少点，但少的不是很多
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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kofeffect
发表于 2009-1-9 12:53:54 | 显示全部楼层
5次方逆素数 NO.1 13 = 39217371293 NO.2 37 = 759343969343957 NO.3 83 = 3460409393939040643 NO.4 131 = 156984975838579489651 NO.5 151 = 157527205878502725751 NO.6 169 = 94819485873137858491849 NO.7 383 = 3412284621428241264822143 NO.8 403 = 342263308926010629803362243 NO.9 417 = 758162989806212608989261857 NO.10 421 = 101646054522313225450646101 NO.11 453 = 394753261670919076162357493 NO.12 591 = 159322553001272100355223951 NO.13 651 = 15282244342961116924344228251 NO.14 711 = 15540330179618181697103304551 NO.15 717 = 75334473149498189494137443357 NO.16 791 = 15948508085690309658080584951 NO.17 933 = 39897457718960706981775479893 NO.18 1131 = 1564909891060581850601989094651 NO.19 1193 = 3919815975856142416585795189193 NO.20 1271 = 1535172764686133316864672715351 NO.21 1273 = 3957137243403433343043427317593 NO.22 1277 = 7510320286985933395896820230157 NO.23 1377 = 7560529325370594950735239250657 NO.24 1389 = 9495274526420715170246254725949 NO.25 1441 = 1023877835623126213265387783201 NO.26 1489 = 9446412146639137319366412146449 NO.27 1539 = 9961358633263368633623368531699 NO.28 1579 = 9983610389545189815459830163899 NO.29 1597 = 757744949328783010387823949447757 NO.30 1609 = 940749474800487010784008474947049 NO.31 1743 = 349611928934780616087439829116943 NO.32 1819 = 990569629822419919914228926965099 NO.33 1887 = 702852961614529323925416169258207 NO.34 1971 = 158892294113647929746311492298851 NO.35 2029 = 941123356262883434388262653321149 NO.36 2127 = 704977408988435343534889804779407 NO.37 2261 = 103742901974880959088479109247301 NO.38 2273 = 395225697832376060673238796522593 NO.39 2371 = 158064005153039474930351500460851 NO.40 2451 = 152730564218354888453812465037251 NO.41 2453 = 394761975092518888815290579167493 NO.42 2527 = 70416849503844030103044830594861407 NO.43 2587 = 70712739217927851115872971293721707 NO.44 2659 = 99271012441402923132920414421017299 NO.45 2671 = 15328699014964953135946941099682351 NO.46 2841 = 10201920248587058185078584202910201 NO.47 2851 = 15293261447885388188358874416239251 NO.48 2981 = 10983324645810453235401854642338901 NO.49 3051 = 15204031401396346264369310413040251 NO.50 3129 = 94666267516453999299935461576266649
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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无心人
 楼主| 发表于 2009-1-9 14:00:29 | 显示全部楼层
呵呵 谁给出7, 11次的来
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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无心人
 楼主| 发表于 2009-1-9 14:03:05 | 显示全部楼层
7次的 [(73,790915893740111047398519097),(159,9153282623909652569093262823519),(399,997 2466326412499061609942146236642799),(449,9465783098424598763678954248903875649), (457,3930131050007603614163067000501310393),(463,7634031126902701654561072096211 304367),(517,3710806101831562789872651381016080173),(559,91387936993741265071705 6214739963978319),(701,109492515588083181383181380885515294901),(839,97282605128 352004629292640025382150628279),(1077,358988084709823677086168077632890748088985 3),(1099,9967959503152499436391936349942513059597699),(1181,16686773176409881440 23204418890467137768661),(1297,3171657735791677814716174187761975377561713),(130 3,7806075261208319196736376919138021625706087),(1483,728588514546078876577515775 678870645415885827),(1509,964361572152197395618717816593791251275163469),(1527,3 07732658448383965853919358569383844856237703),(1737,3324741802462395288077477088 25932642081474233),(1869,981330417074334055466979664550433470714033189),(1927,30 9625759790759710766898667017957097957526903),(1957,39847025089738094943990109934 949083798052074893),(2931,1148440115521707818728581858278187071255110448411),(30 17,3767822725021554779325722275239774551205272287673),(3021,14592687924239426893 46922296439862493242978629541),(3117,3795571294071900287268582858627820091704921 755973),(3157,3946690100928965948155213125518495698290010966493),(3227,308685027 9319409370214463644120739049139720586803),(3277,35404583054606145351285040582153 54160645038540453),(3527,3073803171279644466059876789506644469721713083703),(353 3,7743397551092502180770786870770812052901557933477),(3577,353796843954906075006 2947492600570609459348697353),(3771,19220774362157085255144801084415525807512634 7702291),(4051,158501508713234727704309717903407727432317805105851),(4167,326529 632686349244664518121815466442943686236925623),(4257,397396121770409238072533525 335270832904077121693793),(4529,908737171746755645155580939085551546557647171737 809),(4561,125754014839177055741060141060147550771938410457521),(4841,1841168646 39347745352803262308253547743936468611481),(4859,9142899231083187145918493639481 95417813801329982419),(4929,906670245083332555174286070682471555233380542076609) ,(4933,776903984676378988379480171084973889873676489309677),(4987,38466505051648 3096761417676714167690384615050566483),(5021,14532304613567326091015408045101906 2376531640323541),(5031,111944614967095853643975181579346358590769416449111),(50 69,985780682514039257106199585991601752930415286087589),(5239,970760441734805901 71572380108327517109508437144067079),(5763,7628427966796942987235211121112532789 2496976697248267),(5783,72728851151136211628870361216307882611263115115882727),( 5907,34279790750980556756393905250939365765508905709797243),(5967,32055282910601 777127643396269334672177710601928255023),(6119,934085703613421566558091123211908 55665124316307580439),(6121,1425681100017896307446291232192644703698710001186524 1),(6139,97319156127160618311021682328612011381606172165191379),(6229,9077670832 5507301937945836363854973910370552380767709),(6233,77571635024029124939639456365 493693942192042053617577),(6247,360970998385201903331972173712791333091025838990 79063),(6351,15919630346185552260486761416768406225558164303691951),(6561,125115 31273506372033674332523347633027360537213511521),(6763,7621199593546625515246017 4647106425155266453959911267),(6769,98416559381284887173853115651135837178848218 395561489),(6833,77378423067985052827427459695472472825058976032487377),(6853,73 200634546146849170674890709847607194864164543600237),(6977,355537604854030268002 78740804787200862030458406735553),(6989,9281008030754102191266254181452662191201 4570308001829),(7201,1040968670822012435096304001004036905342102280768690401),(7 387,3867767019792434609573620021200263759064342979107677683),(7389,9262149793935 612303730452021202540373032165393979412629),(7501,105203603407574742512580633133 6085215247475704306302501),(7507,34064117578111552117248534313435842711255111875 71146043),(7591,1328382593538901495042242541452422405941098353952838231),(7611,1 732947425615950205391249741479421935020595165247492371),(7621,147586766257032160 6422803941493082246061230752667685741),(7833,77307020065909624663924290818092429 36642690956002070377),(7953,7353037200696692281091142102012411901822966960027303 537),(8097,3112058695508016811184571822281754811186108055968502113),(8189,922470 4926710072366810459642469540186632700176294074229),(8261,12479157160716714093789 55262625598739041761706175197421),(8279,9551589773183727224218095662665908124227 273813779851559),(8373,7999708661196124049594415882885144959404216911668079997), (8893,7519381189005964001978388934398838791004695009811839157),(9033,77998439532 00249925450907094907090545299420023593489977),(9279,9558903636616386786003452295 922543006876836166363098559),(9383,725187622965514022405521304640312550422041556 9226781527),(9529,9082797673769078523610793317133970163258709673767972809),(9661 ,1225523619418919936661515587855151666399198149163255221),(9723,7458596600189201 617864984128214894687161029810066958547),(9743,702809368649482485441219333833391 2144584284946863908207),(9883,72032221202678039184829190292091928481930876202122 23027),(9887,3815854386957991614555135329235315554161997596834585183)]
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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无心人
 楼主| 发表于 2009-1-9 14:04:12 | 显示全部楼层
另一种形式 [(2,12821),(61,3142742836021206382472413),(79,192039089861595168980930291),(166, 3473414526672256522766254143743),(198,119304364532094727490235463403911),(286,15 651725833925209690252933852715651),(373,1004527481829495997995949281847254001),( 400,1638400000000000000000000000000048361),(437,30434772433013423333324310334277 43403),(441,3243919932521508681868051252399193423),(444,340158079450924646464642 9054970851043),(511,9098007718612700671760072168177008909),(515,9608389573631796 875786971363759838069),(793,19720245227269193085758039196272254202791),(856,3367 5678349596924313631342969594387657633),(997,979188057829902100813180012099287508 81979),(1005,1035529396940734453125213544370496939255301),(1019,1140825678563294 038739378304923658765280411),(1033,1255169133161147225977795227411613319615521), (1037,1289588924913113740133310473113194298859821),(1088,18046885691586951249929 94215968519658864081),(1104,1998865230895811395584855931185980325688991),(1321,7 019718930047012279641469722107400398179107),(1335,755733823566577523437573432577 5665328337557),(1370,9058243063334330000000000000334333603428509),(1381,95797847 30308760922061602290678030374879759),(1393,1017789145645341601665756610614354654 19877101),(1399,104887564566799988497999794889997665465788401),(1423,11815015632 6156744176474671447651623651051811),(1436,12591604651495275216896986125725941564 0619521),(1452,136071231249866435297282792534668942132170631),(1480,155536387494 707200000000000002707494783635551),(1519,186596896844711783722393227387117448698 695681),(1637,315021906772511559779333977955115277609120513),(1911,9307323503999 30225584717485522039993053237039),(1937,1023074700158004382868333868283400851007 4703201),(1965,11311960578883387945312521354978338887506911311),(1981,1197267872 4254543246226162264234545242787627911),(2012,13347374150702372760780808706727320 705147374331),(2298,33841544095338196615027272051669183359044514833),(2334,37731 664310035304660774447706640353001346613773),(2347,392275899737514762547363637452 67415737998572293),(2585,77130088914188126351562526515362188141988003177),(2759, 1216919648595097876209719179026787905958469196121),(2770,12512911802727145300000 00000000354172720811921521),(2896,1708401337160040674492416142944760400617331048 071),(2944,1916746326796347809726464646279087436976236476191),(2958,198146856848 7116279290752570929726117848658641891),(3211,35195094769825581894935717539498185 52896749059153),(3239,3740043350276206924213079703124296026720533400473),(3252,3 846393910761730849456128216549480371670193936483),(3604,789756985801166055507558 4855705550661108589657987),(3698,94573257400497284819774727477918482794004752375 49),(3762,106642799794593428679118080811976824395497997246601),(3767,10763892243 4543007762124232421267700345434229836701),(3843,12379203184967508851034507054301 5880576948130297321),(3882,132858308039011460466151686151664064110930803858231), (3902,137724389336907368628673282376826863709633983427731),(3916,141220837239593 493865922565229568394395932738022141),(3919,141979892936206314930130393031039413 602639298979141),(3965,154064415838040570982031252130289075040838514460451),(399 3,161843466280925961413484575484314169529082664348161),(4063,1827796141896591549 04911676119409451956981416977281),(4082,1888473968277722849892876867829894822777 28693748881),(4371,304835572652510912109704919407901219015256275538403),(4448,34 4471622015452615247134727431742516254510226174443),(4927,70481954037352439196595 9030959569193425373045918407),(4996,77688548601119462543343616163433452649111068 4588677),(5162,976620871590183279516750080057615972381095178026679),(5345,124633 26341928311090539062526093509011382914362336421),(5380,1304595660732492659200000 0000000029562942370665954031),(5415,13651778295368496661148437573484116669486359 287715631),(5473,14708830285875932268172329792327186223957858203880741),(5568,16 591841344096954014184243234248141045969044314819561),(6169,340019161239967549373 90128982109373945769932161910043),(6859,7142094956933732056737564191465737650237 3396594902417),(6883,73188759610124323932207402720470223932342101695788137),(690 7,74993943637195203380494024342049408330259173634939947),(6926,76449986048668103 064235097679053246030186684068994467),(7183,986599895289066352278658927298568722 53660982598995689),(7204,1006968601721244681053814784874183501864421271068696001 ),(7216,1018768883506027636096761856581676906367206053888678101),(7243,104575366 7648155139583800707070083859315518467663575401),(7306,11111115833218057915482415 36351428451975081233851111111),(7459,1284589151605685376412128619168212146735865 061519854821),(7464,1290628987629268532308475904095748032358629267898260921),(75 51,1399688169562039608388980351530898838069302659618869931),(7600,14645194571776 00000000000000000000000000067717549154641),(7624,1497201361630500607831834624264 381387060050361631027941),(7704,161069725600093251487295078487059278415239000652 7960161),(7730,1649135943645043051970000000000000791503405463495319461),(7747,16 74691792023662720649983563653899460272663202971964761),(7787,1736165903492087881 212502883882052121887802943095616371),(7819,178672819984332126844533433933433544 8621233489918276871),(7862,18566552774669784254739726080627937452487966477255665 81),(7905,1928915131156679512145390625260935412159766511315198291),(7909,1935757 848537498091868360269620638681908947358487575391),(7921,195641098664044141334418 9841489814433141440466890146591),(8478,31481388991003562054579301121103975450265 30019988318413),(8623,3544938480047061526019223247423229106251607400848394453),( 8628,3559352127781334316212109312139012126134331877212539553),(8675,369731441701 3802264404296875786924044622083107144137963),(9539,71865415608575373174708631797 13680747137357580651456817),(9555,7271346487499454887380546875786450837884549947 846431727),(9557,7282007167463365485293801693961083925845633647617002827),(9559, 7292681241641586642443361319131633442466851461421862927),(9632,76915756769432152 21085831168611385801225123496765751967),(9677,7946670161598123302716767653567676 172033218951610766497),(9965,975755754616170767675445312521354457676707161645755 7579),(9968,9778138967829770820367941632361497630280779287698318779)]
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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无心人
 楼主| 发表于 2009-1-9 14:06:11 | 显示全部楼层
11次的 Prelude Primes> let aa = [(x, n) | x <- [1..9999], let s = x^11, let invs = inv s, let l = l10 s, let n = (div invs 10) * 10^l + s, isPrime n] Prelude Primes> let bb = [(x, n) | x <- [1..9999], let s = x^11, let invs = inv s, let l = l10 s, let n = s * 10^(l-1) + mod invs (10^(l-1)), isPrime n] Prelude Primes> aa [(189,985152220769602421970299010992079124206967022251589),(251,1525609622392866 8824312194249121342886682932269065251),(327,322745910927073602469741175457114796 4206370729019547223),(447,309728542794744992513782853241423582873152994474972458 27903),(747,306930143356462996684115415314040413514511486699264653341039603),(99 7,35816348038417377007081617509476967490571618070077371483084361853),(1089,98415 94056448263476094480354054552554504530844906743628446504951489),(1549,9454579119 5062360957754552230278132123187203225545775906326059119754549),(1821,12022138621 041020096002375548454103730145484557320069002014012683122021),(2013,730270140162 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07871772289640886276094223509),(5321,1250160530190423993159523276574754521186968 11254574756723259513993240910350610521),(5511,1111826727965271142118139295071793 4080424142408043971705929318112411725697276281111),(5769,96989447655728288674708 443988197277326553235562377279188934480747688282755674498969),(6017,336149583375 22982918439566700580258756247374265785208500766593481928922573385941633),(6127,3 24353723059057253607570212132609816008654568006189062312120757063527509503273534 23),(6141,1455091947722652534260510599033340224148646841422043330995015062435256 2277491905541),(6483,76854070207818516739307058108848533692205850229633584880185 070393761581870207045867),(6559,951462422342624448118099233706852788625669665268 87258607332990811844426243224264159),(6663,7880681535442794062344633466347620876 219411149126780267436643364432604972445351860887),(6781,185618157494015251818165 5566665600268983931393898620065666655561818152510494751816581),(6813,73299244619 56808243885519484055222327897641467987232225504849155883428086591644299237),(704 9,940560267912334922094705848133747682320531213502328674733184850749022943321976 2065049),(7269,96456499923437817224621430516882656109739929937901656288615034126 42271873432999465469),(7757,3941470539886360193471467832365242123138116118313212 425632387641743910636889350741493),(7799,997588337906319496991321018614084076147 2946492741670480416810123199694913609733885799),(8539,93951483962886758480047078 6451791646065895717598560646197154687074008485768826938415939),(8673,77730745858 8060106049594074851779254263688020886362452977158470495940601060885854703777),(8 933,7193340355146952189351940114614212396484098289048469321241641104915398125964 15530433917),(9617,3302237184981575151807245200715609956328705650782365990651700 25427081515751894817322033),(9699,9966510782563742931345387865278264545609441714 49065454628725687835431392473652870156699)] Prelude Primes> bb [(48,3116402981210161152511610121892046113),(137,3190995845161846964443131344469 6481615485990913),(226,785584363645360569916149767941619965063546363485587),(362 ,139892449880043161896222330888033222698161340088944298931),(363,144202528456305 031619414751878157414916130503654825202441),(389,3086353126582792475503577378987 37753055742972856213536803),(392,33585107073752721624827691008001967284261272573 7070158533),(457,18158426010805077599762589679397698526799577050801062485181),(5 55,1538943991472952821372607421875781247062731282592741993498351),(907,341727679 61511327357981895914184348141959818975372311516976727143),(913,36743333348843522 527545478184913731948187454572522534884333334763),(973,7400162269174990859110831 8958347774385981380119580994719622610047),(1049,16925065969572168187895620099990 49409999002659878186127596956052961),(1276,1460015338014627706467282172090777677 70902712827646077264108335100641),(1387,3654610282513836885016798016468056365086 46108976105886383152820164563),(1698,3383097739644757077946364997567467525764765 7994636497707574469377903833),(1875,10069641120935557410120964050292968757869292 05046902101475553902114696001),(2104,3576869457517482509437241627093499904099943 907261427349052847157549686753),(2249,744533099441927913533835879323721224942212 7323978538335319729144990335447),(2297,93922781830317588964577841720799125535521 99702714877546988571303818722939),(2312,1008941828350803776730879392301763788888 73671032939780376773080538281498001),(2315,1023436611311178861034350386166992187 57812996616830534301688711131166343201),(2356,1241446896892532121161485053744224 66565664224473505841611212352986986441421),(2446,1875085086648469325297942603301 01288969882101033062497925239648466805805781),(2563,3134979231133347183053780309 25824209878902428529030873503817433311329794313),(2574,3286199825507739561185301 02429627658242856726924201035811659377055289916823),(2844,9845221980510223756593 75628839750205444502057938826573956573220150891225489),(3010,1837517363158923337 4599533010000000000000000000001033599547333298513637157381),(3174,32936401383682 743190482507820594864742424746849502870528409134728638310463923),(3511,999399491 46244058939289698928234505911111950543282989698293985044264194993999),(3561,1167 593612416418762506440949034289727161617279824309490446052678146142163957611),(35 77,12266151987373495389862710016129161864737468161921610017268983594373789151662 21),(3618,1390446194319754909857968530907134789632369874317090358697589094579134 916440931),(3670,162677206762189283404234487830000000000000000000003878443240438 2981267602776261),(3736,19791355650503181502952386268329525903363309525923862683 25920518130505655319791),(3883,3025807506873756247708495452875902604467644062095 782545948077426573786057085203),(3919,334909832679771979084394609805477601111911 1106774508906493480979177976238909433),(4321,98045333797324659783497492346107723 99521259932770164329479438795642379733354089),(4472,1430605016737180809634668119 90537960161282161069735099118664369080817376105060341),(4607,1984268028073395921 27170895393394915261434162519493393598071721295933708208624891),(4796,3087954686 08510954603778913476309638184969481836903674319877306459015806864597803),(5388,1 11097288017599856793639116923681648934912194398461863296119363976589957108827901 11),(5416,1176156769226654488575803986532018327388161883723810235689308575884456 6229676516711),(5588,16589006291767815460082133056053293822771217722839235065033 128006451876719260098561),(5678,197764925536165073952129140102317226473472743746 22713201041921259370561635529467791),(5960,3370612733603785183127505207296000000 0000000000000006927025057213815873063372160733),(6406,74551481389386048902030404 491973489038745654783098437919440403020984068398318415547),(6707,123541073204984 0353389192076289839300828043408280039389826702919833530489402370145321),(6714,12 49668163898443718640353404800492113700864680073112940084043530468173448983618669 421),(6858,157823724658575448038152313922245309077299299277090354222931325183084 4575856427328751),(6896,16771417916279460540572931952811713715240969042517317118 25913927504506497261971417761),(6918,1736945270527149103342828618193515397240832 380427935153918168282433019417250725496371),(6968,188013728498852555723282544802 7347623084032304803267437208445282327555258894827310881),(7000,19773267430000000 00000000000000000000000000000000000000000000000000000000003476237791),(7390,3589 95349226272259987910478501390000000000000000000009310587401978995227262294359985 3),(7397,36275366232087447959712324601290671070114535411070176092106423217959744 78023266357263),(7398,3632934742196579723807631942418415801751552551571085148142 491367083279756912474392363),(7916,764827756967912210606849366928866055657881618 8756550668829663948606012219769657728467),(7932,78200541593915648129677053534344 64484589568659854844644343535077692184651939514500287),(8078,9557456657013457656 122273305914722132867072707682312274195033722216567543107566547559),(8156,106230 53976556291539112063909568999856275456545726589998659093602119351926556793503260 1),(8192,11150372599265311570767859136324180752990208020992570814236319587670751 1356299527305111),(8200,11270738569548768071680000000000000000000000000000000000 0000000008617086784596583707211),(8222,11607860945167888646817826899794002382256 1282165228320049799862871864688876154906870611),(8284,12607848815917113677977150 3796624546427043848340724645426697305177977631171951884870621),(8408,14846351315 1408177554222291944965677168721929127861776569449192222455771804151315364841),(8 448,1564202433079221253079850977377195692077875257877029659177377905897035212297 03342024651),(8508,1690839144277102548510430119619114009047859295874090041191691 10340158452017724419380961),(8528,1735078420855864728958088812943189052961587278 51692509813492188808598274685580248705371),(8537,1755327252804949556168470681889 63857020919131919020758369881860748616559494082527235571),(8582,1859831555978313 78170344689434429185181511686115181581924434986443071873138795551389581),(8973,3 03608792990921406795337527070944847186954777459681748449070725733597604129099297 806303),(8978,305474956562127904424288293993205346895646727646598643502399392882 424409721265659474503),(9045,331508205966891028847210056998046586425781252187524 685640899650012748820198669502805133),(9086,348417577843082087110384025330003103 707279363972707301300033520483011780280348775714843),(9185,392528113490827029528 355411256968072753906252609357270869652114553825920728094311825293),(9695,711256 00741916064544885077195380045849609375739069485400835917705884454606191470065211 7),(9970,96749057161807007737148308436185300000000000000000000035816348038417377 0070816175094769)]
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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无心人
 楼主| 发表于 2009-1-9 14:08:11 | 显示全部楼层
特别注意11次的一个例子 呵呵 (7000,1977326743000000000000000000000000000000000000000000000000000000000000000003476237791) 谁来证明它的素性
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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northwolves
发表于 2009-1-9 17:17:31 | 显示全部楼层
1977326743000000000000000000000000000000000000000000000000000000000000000003476237791 是个素数
毋因群疑而阻独见　　毋任己意而废人言
毋私小惠而伤大体　　毋借公论以快私情
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