Factores primos de Gúgolplex + 10 con 25 dígitos

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  2. Teoría de números
  3. Factores primos de Gúgolplex + 10 con 25 digitos

Esta es una lista de factores primos de 25 dígitos de gúgolplex + 10, es decir, 1010^100 + 10.

Estos números tienen la forma 1 + 2ki piei, donde pi es un factor primo de 10100 − 1 y ei es cero o uno.

La lista de factores primos de 10100 − 1 es: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 y 168058 8011350901.

En esta lista se pueden ver los factores primos, sus descubridores y los valores de k.

  1. 10031 7822664330 2866132527 (John Gamble, k=14881)
  2. 10163 1117580499 6235607699 (David Broadhurst, k=1)
  3. 10181 5235437571 5513644757 (David Broadhurst, k=2)
  4. 10317 9367194383 1275339281 (Phil Carmody, k=280)
  5. 10419 7998599551 6513911571 (Phil Carmody, k=145)
  6. 10441 4181168703 5353188927 (Patrick Demichel, k=767937)
  7. 10502 9231581435 3202200699 (David Broadhurst, k=1)
  8. 10517 2162651959 5528978077 (David Broadhurst, k=2)
  9. 10623 2887668249 0866940493 (Norm Dresner, k=11062)
  10. 10719 9452721635 9791598237 (Patrick Demichel, k=21578)
  11. 10779 8371007680 4068005931 (Paul Leyland, k=39935)
  12. 10789 1335805542 3626533293 (Patrick Demichel, k=276782)
  13. 10863 8047816696 4691345049 (David Broadhurst, k=36)
  14. 10873 2240452094 9087950317 (Patrick Demichel, k=75062)
  15. 10877 6238037619 6238026743 (David Broadhurst, k=39)
  16. 10898 8420168928 2307416219 (Phil Carmody, k=251)
  17. 10976 6375245893 0455784169 (Patrick Demichel, k=78668)
  18. 10982 6783672936 4331154503 (David Broadhurst, k=7)
  19. 11000 3567657528 2492937533 (David Broadhurst, k=2)
  20. 11160 8990756129 1094091887 (David Broadhurst, k=1)
  21. 11249 4617864870 2067090731 (David Broadhurst, k=5)
  22. 11268 7468315446 9279629383 (David Broadhurst, k=7)
  23. 11292 3077339261 3459922397 (David Broadhurst, k=42)
  24. 11339 8094655653 2740224659 (David Broadhurst, k=1)
  25. 11355 2414656099 7563159597 (David Broadhurst, k=2)
  26. 11381 3830536234 8419623979 (Phil Carmody, k=361)
  27. 11533 2453713182 8493305611 (David Broadhurst, k=5)
  28. 11675 3643274121 4659924407 (David Broadhurst, k=1)
  29. 11678 5802680023 9266057611 (David Broadhurst, k=45)
  30. 11681 8236459879 6256250179 (David Broadhurst, k=53)
  31. 11704 2925392170 2133301259 (David Broadhurst, k=1)
  32. 11730 0091071041 3087017969 (Phil Carmody, k=568)
  33. 11758 6277341633 2689436277 (David Broadhurst, k=2)
  34. 11762 2837382595 0879401809 (David Broadhurst, k=8)
  35. 11902 4567657947 0341219931 (Phil Carmody, k=205)
  36. 11915 7979625830 0306640179 (David Broadhurst, k=1)
  37. 11916 1514176764 2873200649 (David Broadhurst, k=4)
  38. 12175 5528949953 5483159731 (Phil Carmody, k=1555)
  39. 12228 5063799180 6047299703 (David Broadhurst, k=1)
  40. 12231 2714584442 2192120927 (David Broadhurst, k=1)
  41. 12261 1092858189 4386719539 (David Broadhurst, k=1)
  42. 12283 9350167618 4435821263 (Phil Carmody, k=139)
  43. 12285 6352320532 9158122287 (David Broadhurst, k=1)
  44. 12378 7193640580 1484526927 (David Broadhurst, k=1)
  45. 12403 6331319705 4988318287 (David Broadhurst, k=91)
  46. 12472 0302790214 5679789887 (David Broadhurst, k=7)
  47. 12540 5495322760 1777391973 (David Broadhurst, k=14)
  48. 12559 2916376595 2916364037 (David Broadhurst, k=38)
  49. 12621 0195605491 8238938961 (Phil Carmody, k=120)
  50. 12746 6120229166 4054905117 (David Broadhurst, k=2)
  51. 12748 4024728517 2953222289 (David Broadhurst, k=8)
  52. 12749 0220278587 0669790293 (Phil Carmody, k=122)
  53. 12754 6990919507 8980056809 (Phil Carmody, k=236)
  54. 12765 2403275787 9333956093 (Patrick Demichel, k=47006)
  55. 12787 4236115242 8149052637 (David Broadhurst, k=2)
  56. 12788 7059356121 5322545819 (David Broadhurst, k=1)
  57. 12794 4223395683 3533782053 (David Broadhurst, k=26)
  58. 12813 8815727980 0273014499 (David Broadhurst, k=1)
  59. 12860 9628409056 6962482613 (Patrick Demichel, k=286546)
  60. 12871 6487185423 5725923837 (David Broadhurst, k=2)
  61. 12906 2210140235 7630954361 (David Broadhurst, k=20)
  62. 12965 6647450390 1458317703 (David Broadhurst, k=37)
  63. 13056 6214099124 4035868247 (David Broadhurst, k=7)
  64. 13097 5748195706 0937624339 (David Broadhurst, k=41)
  65. 13301 5795837132 2417023059 (David Broadhurst, k=31)
  66. 13329 1579686966 3651963649 (Patrick Demichel, k=2263168)
  67. 13344 7079268812 4901037647 (David Broadhurst, k=1)
  68. 13356 7353127966 4738201179 (David Broadhurst, k=1)
  69. 13378 4889084814 4031180979 (Patrick Demichel, k=5761)
  70. 13453 0582387104 3042130783 (Patrick Demichel, k=22357)
  71. 13600 1999342508 2716091047 (David Broadhurst, k=31)
  72. 13746 5789643915 8253805139 (David Broadhurst, k=29)
  73. 13778 1556762680 1458326183 (David Broadhurst, k=1)
  74. 13814 6848041171 2721207859 (David Broadhurst, k=21)
  75. 13929 5006257259 9415963943 (Patrick Demichel, k=67799)
  76. 13975 1111677533 2746401619 (David Broadhurst, k=1)
  77. 13999 1597888317 7466170143 (Patrick Demichel, k=75399)
  78. 14166 8642584676 4286694087 (Phil Carmody, k=163)
  79. 14182 5057682160 7842256967 (David Broadhurst, k=1)
  80. 14367 4677875503 1113952077 (Phil Carmody, k=342)
  81. 14423 1089917294 5038415487 (David Broadhurst, k=7)
  82. 14770 1096060143 3917475223 (David Broadhurst, k=1)
  83. 14787 9215714929 4265205093 (David Broadhurst, k=2)
  84. 14790 9980783689 2951065929 (Phil Carmody, k=1196)
  85. 14823 4251957909 6693609451 (Phil Carmody, k=1775)
  86. 14828 7580549284 3224098813 (David Broadhurst, k=2)
  87. 14857 1198908313 0100744373 (David Broadhurst, k=2)
  88. 15013 8858693337 8723754849 (David Broadhurst, k=16)
  89. 15327 9213307441 5529729801 (David Broadhurst, k=100)
  90. 15361 5265417641 7938189943 (David Broadhurst, k=49)
  91. 15514 9961849291 4280559437 (Phil Carmody, k=19706)
  92. 15659 7195445740 7865710211 (David Broadhurst, k=5)
  93. 15836 0985369142 4887931899 (David Broadhurst, k=1)
  94. 15853 2983063795 1274646881 (David Broadhurst, k=80)
  95. 15867 3993636810 3459549619 (Phil Carmody, k=1453)
  96. 15918 4062247004 8479062491 (Patrick Demichel, k=7265)
  97. 15957 1266359201 7147807367 (Phil Carmody, k=241)
  98. 16078 1772907232 3089725317 (Patrick Demichel, k=85318)
  99. 16150 0444364154 5996451931 (David Broadhurst, k=35)
  100. 16166 1789407988 4446664453 (David Broadhurst, k=14)
  101. 16227 8842421893 6797318277 (Patrick Demichel, k=82946)
  102. 16237 0793475403 2860671819 (Patrick Demichel, k=40671)
  103. 16323 3718694797 4086166929 (Phil Carmody, k=376)
  104. 16330 9284744367 0396642489 (Phil Carmody, k=756)
  105. 16401 1649983631 5066450567 (David Broadhurst, k=1)
  106. 16512 1302065028 1302048517 (David Broadhurst, k=2)
  107. 16624 4251330397 1974086051 (Phil Carmody, k=175)
  108. 16668 1403967895 2538746121 (Phil Carmody, k=140)
  109. 16833 7938606441 9311931049 (Patrick Demichel, k=7036)
  110. 16977 1303176658 9523398099 (David Broadhurst, k=1)
  111. 16977 4698636677 0857001903 (David Broadhurst, k=1)
  112. 17201 6883946233 0420696853 (David Broadhurst, k=2)
  113. 17234 0718934008 5965782463 (Patrick Demichel, k=114607)
  114. 17266 0645496362 3389963091 (Phil Carmody, k=905)
  115. 17295 9318460473 9318443179 (David Broadhurst, k=1)
  116. 17381 2329685865 4679566847 (Patrick Demichel, k=319477)
  117. 17398 6459270227 9529687499 (Patrick Demichel, k=412799)
  118. 17568 7889810458 5669956917 (Phil Carmody, k=586)
  119. 17589 7340226597 7340209009 (Phil Carmody, k=3736)
  120. 17643 7784794301 3138497289 (David Broadhurst, k=4)
  121. 17707 5285620761 9259816077 (David Broadhurst, k=2)
  122. 18037 0328610258 3758564167 (David Broadhurst, k=1)
  123. 18149 2696835223 9647973607 (Patrick Demichel, k=23597)
  124. 18239 6574458296 4206265291 (David Broadhurst, k=95)
  125. 18271 0138720590 8207044597 (David Broadhurst, k=2)
  126. 18366 3031681317 3085661491 (Phil Carmody, k=1555)
  127. 18366 9587772671 6472815023 (Phil Carmody, k=167)
  128. 18570 7501711380 7501692811 (Phil Carmody, k=485)
  129. 18668 7205518770 0474212087 (David Broadhurst, k=1)
  130. 18695 3048564052 5773037237 (David Broadhurst, k=38)
  131. 18792 6506797339 3887305131 (David Broadhurst, k=5)
  132. 18804 9977317678 8821296933 (David Broadhurst, k=14)
  133. 18949 1061945739 5331862887 (Phil Carmody, k=437)
  134. 19005 3482448766 3185945373 (David Broadhurst, k=2)
  135. 19078 5243642389 3248578001 (Phil Carmody, k=1000)
  136. 19236 1858738072 4789576209 (Patrick Demichel, k=450696)
  137. 19308 1524858137 7229535011 (Patrick Demichel, k=8445)
  138. 19355 2315451174 1529694543 (David Broadhurst, k=1)
  139. 19405 2208212616 7737384783 (David Broadhurst, k=7)
  140. 19430 5955767650 2879320339 (David Broadhurst, k=1)
  141. 19622 3116066842 0773474641 (Patrick Demichel, k=105080)
  142. 19688 6522558065 7253421343 (David Broadhurst, k=1)
  143. 19784 2948798554 5787323569 (Patrick Demichel, k=5256)
  144. 19883 8540876070 9943952531 (David Broadhurst, k=5)
  145. 20094 8501706965 8526823811 (David Broadhurst, k=35)
  146. 20156 2680062098 3380523807 (David Broadhurst, k=1)
  147. 20167 3207372135 1237052143 (David Broadhurst, k=1)
  148. 20230 8204737080 9356933739 (Phil Carmody, k=1783)
  149. 20399 5988840781 8240137451 (Phil Carmody, k=725)
  150. 20416 9179957512 9015740927 (Phil Carmody, k=211)
  151. 20586 0869698788 8453097967 (David Broadhurst, k=1)
  152. 20730 9008269039 4183710171 (Phil Carmody, k=2965)
  153. 20766 2306183674 6628002139 (Patrick Demichel, k=5279)
  154. 20786 2982374714 2982353929 (Phil Carmody, k=124)
  155. 20918 1029868877 0336778653 (David Broadhurst, k=2)
  156. 21042 1677512404 3171927921 (Phil Carmody, k=520)
  157. 21149 3451961407 0513295081 (Patrick Demichel, k=1518460)
  158. 21336 6848314684 8844935773 (Patrick Demichel, k=7166)
  159. 21379 8506595671 3744767693 (David Broadhurst, k=2)
  160. 21418 1900553759 4836428557 (Phil Carmody, k=1246)
  161. 21463 6499074549 2430793287 (Patrick Demichel, k=187147)
  162. 21588 6000914659 3900662769 (David Broadhurst, k=8)
  163. 21644 1548556413 5581545527 (David Broadhurst, k=1)
  164. 21647 8816438080 2701155449 (David Broadhurst, k=44)
  165. 21705 7407612484 1670956597 (Patrick Demichel, k=222838)
  166. 21744 7916693824 8369247291 (Phil Carmody, k=115)
  167. 21841 5207694755 5405692717 (Patrick Demichel, k=229606)
  168. 21844 5687445038 9752130013 (Phil Carmody, k=214)
  169. 22193 1058020480 2288272609 (David Broadhurst, k=16)
  170. 22224 0376701715 0354983379 (David Broadhurst, k=1)
  171. 22319 8270792884 2429186407 (Patrick Demichel, k=1186751)
  172. 22394 9829809108 9862038143 (David Broadhurst, k=49)
  173. 22692 4933870874 4933848183 (David Broadhurst, k=1)
  174. 22750 0325203252 0325180503 (Phil Carmody, k=277)
  175. 22936 7690766829 6850655649 (Patrick Demichel, k=3020976)
  176. 22978 7258387112 7957194649 (Patrick Demichel, k=137788)
  177. 23236 4713385711 8923154687 (David Broadhurst, k=7)
  178. 23273 6363636363 6363613091 (David Broadhurst, k=5)
  179. 23309 4407098314 8623181407 (David Broadhurst, k=1)
  180. 23552 5997103361 5548097743 (David Broadhurst, k=1)
  181. 23565 8419936267 9462728007 (David Broadhurst, k=91)
  182. 23675 5139851758 3138543409 (David Broadhurst, k=8)
  183. 23717 6012718193 9425903703 (Phil Carmody, k=599)
  184. 23817 9786508091 8815007291 (Patrick Demichel, k=202565)
  185. 23905 3206279324 7377393517 (David Broadhurst, k=82)
  186. 24060 6681267234 3116886739 (David Broadhurst, k=1)
  187. 24125 9344714171 1206159447 (Phil Carmody, k=811)
  188. 24174 5389690260 5389666087 (David Broadhurst, k=1)
  189. 24185 2542348711 6399229303 (David Broadhurst, k=17)
  190. 24198 1109870438 4990966373 (David Broadhurst, k=2)
  191. 24545 8123515856 1540828809 (Phil Carmody, k=116)
  192. 24834 5971026631 8104174449 (Patrick Demichel, k=41048)
  193. 24838 1570985786 7863125929 (David Broadhurst, k=28)
  194. 24983 1188617283 1203613223 (David Broadhurst, k=7)
  195. 25023 3332352372 3629357053 (David Broadhurst, k=2)
  196. 25097 7764072282 0437551929 (David Broadhurst, k=4)
  197. 25248 2870388803 8310440807 (David Broadhurst, k=1)
  198. 25301 5538798135 7214093819 (Phil Carmody, k=141)
  199. 25458 1958395218 2284003567 (David Broadhurst, k=1)
  200. 25496 3911934553 6918611893 (David Broadhurst, k=2)
  201. 25579 4557384852 3869099259 (David Broadhurst, k=13)
  202. 25645 1873873620 4473264207 (Phil Carmody, k=2861)
  203. 25864 0989178774 6561914973 (David Broadhurst, k=14)
  204. 25935 1295917224 7953864343 (Patrick Demichel, k=151689)
  205. 26244 1144484937 9758320081 (Phil Carmody, k=680)
  206. 26277 1979698235 3246055019 (Phil Carmody, k=4111)
  207. 26428 1141460955 9179513743 (David Broadhurst, k=1)
  208. 26462 8386498600 4330002103 (Phil Carmody, k=1147)
  209. 26560 5732499651 4681368837 (David Broadhurst, k=46)
  210. 26799 7461900002 5317472009 (Phil Carmody, k=2756)
  211. 26808 5338833676 2090451939 (David Broadhurst, k=1)
  212. 26972 0669106487 2094994183 (David Broadhurst, k=1)
  213. 27703 1868773431 6253750161 (Phil Carmody, k=1160)
  214. 27763 4195769596 0888996689 (David Broadhurst, k=8)
  215. 27950 2223355066 5492803237 (David Broadhurst, k=2)
  216. 28066 7876585422 8546150739 (Phil Carmody, k=163)
  217. 28156 1593947690 9165903877 (David Broadhurst, k=46)
  218. 28159 6182546810 7045878847 (David Broadhurst, k=1)
  219. 28290 7645429389 3756756343 (Phil Carmody, k=399)
  220. 28641 3871468845 1730722783 (Phil Carmody, k=997)
  221. 28707 5526242002 3029001219 (David Broadhurst, k=53)
  222. 28782 4306017317 5989156853 (Patrick Demichel, k=6554)
  223. 28844 6190429618 2539691693 (David Broadhurst, k=86)
  224. 28852 9315862558 3111623339 (David Broadhurst, k=51)
  225. 28873 8620132153 9286581677 (David Broadhurst, k=2)
  226. 28953 3424364955 2214078859 (David Broadhurst, k=1)
  227. 28954 4488835445 4203148681 (Patrick Demichel, k=439660)
  228. 29118 6837204906 6829105081 (Phil Carmody, k=1180)
  229. 29152 3114556252 8497187367 (Patrick Demichel, k=153023)
  230. 29284 7305570587 9030336769 (Patrick Demichel, k=29056)
  231. 29614 6406347938 0910695619 (Patrick Demichel, k=83971)
  232. 29654 2592007386 6890617727 (David Broadhurst, k=1)
  233. 29806 9987938311 4522847783 (Patrick Demichel, k=63617)
  234. 29875 9022901349 6728459727 (David Broadhurst, k=7)
  235. 29952 1446458018 0000602357 (David Broadhurst, k=62)
  236. 29998 9974923783 4364482499 (Patrick Demichel, k=7973)
  237. 30173 6587318133 6587287961 (David Broadhurst, k=20)
  238. 30302 5838894131 4166208849 (Phil Carmody, k=4168)
  239. 30451 9762490695 0219245703 (David Broadhurst, k=17)
  240. 30529 5123353534 4438440491 (Phil Carmody, k=4465)
  241. 30838 3730428579 5910768561 (Patrick Demichel, k=833320)
  242. 30861 4164811458 9024989579 (Phil Carmody, k=439)
  243. 30914 4239234898 4876685099 (Patrick Demichel, k=352709)
  244. 30952 1174588254 1174557303 (Patrick Demichel, k=306399)
  245. 31111 2108453300 7669786099 (David Broadhurst, k=1)
  246. 31377 1544803315 5505167979 (David Broadhurst, k=1)
  247. 31481 2750835392 7155514009 (David Broadhurst, k=4)
  248. 31562 5398367977 4395868693 (David Broadhurst, k=2)
  249. 31593 9318774243 7068230761 (David Broadhurst, k=20)
  250. 31689 5194125973 5671187379 (David Broadhurst, k=21)
  251. 31969 6927718047 3163971289 (David Broadhurst, k=4)
  252. 32039 9235852451 0347465889 (Patrick Demichel, k=59248)
  253. 32137 4714539707 1925695087 (David Broadhurst, k=11)
  254. 32160 9919807913 0527329133 (David Broadhurst, k=22)
  255. 32182 9291895185 2544891001 (Phil Carmody, k=500)
  256. 32197 9171813904 5099353007 (David Broadhurst, k=1)
  257. 32256 1400388106 9656490207 (Patrick Demichel, k=559481)
  258. 32272 6985541545 2221318367 (David Broadhurst, k=1)
  259. 32462 3126610687 6292350607 (David Broadhurst, k=1)
  260. 32985 4859113942 0957945333 (David Broadhurst, k=22)
  261. 33023 1082154722 0028923367 (Phil Carmody, k=4603)
  262. 33116 7687389120 4389190703 (Norm Dresner, k=11229)
  263. 33360 6313110209 7620617093 (David Broadhurst, k=14)
  264. 33673 9939061933 9526309739 (Paul Leyland, k=35921)
  265. 33687 4933619986 1030869609 (Phil Carmody, k=156)
  266. 33724 9484436906 2843305339 (Patrick Demichel, k=1572073)
  267. 34278 1820515866 9694601371 (Phil Carmody, k=145)
  268. 34635 0855159905 6900461237 (David Broadhurst, k=26)
  269. 34950 0574048679 2193444047 (Patrick Demichel, k=2489737)
  270. 35208 2704266879 4172212133 (David Broadhurst, k=26)
  271. 35380 5252749934 6020927423 (David Broadhurst, k=1)
  272. 35456 4422442244 2244188967 (David Broadhurst, k=1)
  273. 35500 0300364680 2404953651 (Patrick Demichel, k=89425)
  274. 35869 7380801970 2194918487 (Phil Carmody, k=247)
  275. 35874 9938657515 2565081573 (David Broadhurst, k=14)
  276. 35899 9621022797 7706159007 (David Broadhurst, k=1)
  277. 36012 2503882860 6276568933 (Phil Carmody, k=2694)
  278. 36178 2621133575 2939542933 (Phil Carmody, k=354)
  279. 36432 2552318819 9360500241 (Patrick Demichel, k=346520)
  280. 36511 4711667422 7582918041 (David Broadhurst, k=20)
  281. 36900 8438207045 3696571727 (David Broadhurst, k=1)
  282. 36997 2940217040 6059089303 (David Broadhurst, k=17)
  283. 37051 4141147808 9548852041 (Patrick Demichel, k=255780)
  284. 37093 5696204008 5581946117 (David Broadhurst, k=22)
  285. 37136 1580921740 4453580779 (David Broadhurst, k=1)
  286. 37425 7750252953 9155977459 (Phil Carmody, k=141)
  287. 37477 3184578508 9156880157 (David Broadhurst, k=2)
  288. 37628 1018990109 9699631743 (David Broadhurst, k=17)
  289. 37720 4625050043 4614208733 (Patrick Demichel, k=122906)
  290. 38015 2860449923 0661479237 (David Broadhurst, k=2)
  291. 38017 9188474684 9790250893 (David Broadhurst, k=2)
  292. 38097 8975028510 8643457207 (Phil Carmody, k=3147)
  293. 38537 9757727300 1831462173 (Phil Carmody, k=1674)
  294. 38541 9917253113 2472559517 (David Broadhurst, k=2)
  295. 38853 2635910043 2623903703 (David Broadhurst, k=1)
  296. 38932 6043108378 7732990451 (Phil Carmody, k=325)
  297. 39174 5569599327 7357190767 (Patrick Demichel, k=132877)
  298. 39179 7908865554 0465079007 (Phil Carmody, k=3131)
  299. 39237 5795032358 2107640051 (Patrick Demichel, k=94675)
  300. 39349 8157753208 9591284933 (David Broadhurst, k=14)
  301. 39361 9310592543 4474062721 (Patrick Demichel, k=5440)
  302. 39368 3627677048 4947332971 (David Broadhurst, k=35)
  303. 39996 5859585843 5982804517 (Phil Carmody, k=142)
  304. 40155 5839178078 3777936887 (Patrick Demichel, k=45807)
  305. 40249 5552895528 3923469459 (David Broadhurst, k=11)
  306. 40368 7856165231 6006033023 (Phil Carmody, k=4207)
  307. 40374 3867392103 3064245931 (David Broadhurst, k=5)
  308. 40390 4981685879 9584109973 (Phil Carmody, k=374)
  309. +4067568702062638144916699 (k=736611499830249573509)
  310. 40989 4704904500 5417449597 (David Broadhurst, k=2)
  311. 41361 2990870091 2990828731 (David Broadhurst, k=35)
  312. 41859 8082298391 1463318291 (Phil Carmody, k=215)
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