Known 21-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 21-digit prime factors of Googolplex − 10

This is a list of known 21-digit prime factors of googolplex − 10, i.e., 1010^100 − 10.

These numbers have the form 1 + 2k ∏i piei, where pi is a prime factor of 10100 − 1 and ei is zero or one.

The list of prime factors of 10100 − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 1 0047225978 5666016889 (Dario Alpern, k=2796)
  2. 1 0077503797 7828083813 (Phil Carmody, k=82)
  3. 1 0078720593 7014008479 (Phil Carmody, k=1)
  4. 1 0095221155 0884892483 (Phil Carmody, k=17)
  5. 1 0180011324 9135654559 (Phil Carmody, k=1)
  6. 1 0205166720 3128166613 (Phil Carmody, k=2)
  7. 1 0292008519 0292008519 (Phil Carmody, k=1)
  8. 1 0434541863 8308248757 (Phil Carmody, k=2)
  9. 1 0508961823 7461566601 (Phil Carmody, k=100)
  10. 1 0535055803 3747047717 (Phil Carmody, k=2)
  11. 1 0657747407 4811028799 (Phil Carmody, k=103)
  12. 1 0689298188 4683946453 (Phil Carmody, k=2)
  13. 1 0889286048 0625865467 (Phil Carmody, k=1)
  14. 1 1112088879 1112088879 (Phil Carmody, k=1)
  15. 1 1183426635 0765701947 (Phil Carmody, k=133)
  16. 1 1241041333 5425625333 (Dario Alpern, k=2402)
  17. 1 1361633712 4403147409 (Phil Carmody, k=8)
  18. 1 1362450010 3689727923 (Phil Carmody, k=7)
  19. 1 1385807912 5730017791 (Phil Carmody, k=115)
  20. 1 1477480817 9637630333 (Phil Carmody, k=14)
  21. 1 1532894878 1194377849 (Phil Carmody, k=36)
  22. 1 1591517263 7935353321 (Phil Carmody, k=940)
  23. 1 1854398935 7602895637 (Phil Carmody, k=2)
  24. 1 1984823930 3982149733 (Phil Carmody, k=2)
  25. 1 2268278435 4398388231 (Phil Carmody, k=205)
  26. 1 2368092929 3911678959 (Phil Carmody, k=1)
  27. 1 2371392643 3157062641 (Phil Carmody, k=40)
  28. 1 2458902051 7474434387 (Phil Carmody, k=1)
  29. 1 2527288154 3885440707 (Phil Carmody, k=17)
  30. 1 2673987472 0008939357 (Phil Carmody, k=2)
  31. 1 2727212923 4968510119 (Phil Carmody, k=1)
  32. 1 2997993435 6577312437 (Phil Carmody, k=26)
  33. 1 3028426167 8137685493 (Phil Carmody, k=2)
  34. 1 3107635483 0892407129 (Phil Carmody, k=4)
  35. 1 3121071841 7813628801 (Dario Alpern, k=1600)
  36. 1 3147278885 7768792831 (Phil Carmody, k=5)
  37. 1 3186682574 6579386431 (Phil Carmody, k=5)
  38. 1 3209120230 1461026471 (Dario Alpern, k=1015)
  39. 1 3292965715 7557476999 (Phil Carmody, k=1)
  40. 1 3337541324 0862293799 (Phil Carmody, k=11)
  41. 1 3360282965 1057308631 (Phil Carmody, k=5)
  42. 1 3501370588 4825812683 (Phil Carmody, k=17)
  43. 1 3527894877 4716013689 (Phil Carmody, k=148)
  44. 1 3606986603 3606986603 (Phil Carmody, k=1)
  45. 1 3635576618 8705599969 (Phil Carmody, k=16)
  46. 1 4090881497 6179349133 (Phil Carmody, k=2)
  47. 1 4093593473 4537929253 (Dario Alpern, k=2842)
  48. 1 4119347076 4707531321 (Phil Carmody, k=20)
  49. 1 4178026827 2980644759 (Phil Carmody, k=1)
  50. 1 4196199150 5966885397 (Phil Carmody, k=26)
  51. 1 4246132077 4246132077 (Phil Carmody, k=82)
  52. 1 4298298369 5366461197 (Phil Carmody, k=2)
  53. 1 4488420039 0751927557 (Phil Carmody, k=2)
  54. 1 4494725319 6466587289 (Phil Carmody, k=4)
  55. 1 4548410951 5340490159 (Dario Alpern, k=2661)
  56. 1 4607578844 9620063431 (Phil Carmody, k=5)
  57. 1 4656194802 5349487797 (Phil Carmody, k=2)
  58. 1 4754369381 2532703489 (Phil Carmody, k=128)
  59. 1 4870774248 9975474213 (Phil Carmody, k=2)
  60. 1 5054082330 1233127797 (Dario Alpern, k=2082)
  61. 1 5088925878 2551250523 (Phil Carmody, k=219)
  62. 1 5355883307 5161998721 (Phil Carmody, k=320)
  63. 1 5420131064 3391233671 (Phil Carmody, k=35)
  64. 1 5524137779 6316216987 (Phil Carmody, k=7)
  65. 1 5866301174 6642923917 (Phil Carmody, k=2)
  66. 1 6342668453 2298988093 (Phil Carmody, k=2)
  67. 1 6412843920 8974155403 (Phil Carmody, k=1)
  68. 1 6906367620 2589998391 (Phil Carmody, k=5)
  69. 1 7040950979 9701216441 (Phil Carmody, k=20)
  70. 1 7228349829 0674460031 (Phil Carmody, k=215)
  71. 1 7355043227 2910600751 (Phil Carmody, k=125)
  72. 1 7406063889 6217945077 (Phil Carmody, k=2)
  73. 1 7549796069 2585505283 (Phil Carmody, k=287)
  74. 1 7640876509 2096322053 (Phil Carmody, k=2)
  75. 1 7821812512 2916194867 (Dario Alpern, k=1437)
  76. 1 7884072648 8646857163 (Phil Carmody, k=29)
  77. 1 8088139465 5245193867 (Phil Carmody, k=1)
  78. 1 8316441453 0335645067 (Phil Carmody, k=1)
  79. 1 8498565831 7258266843 (Phil Carmody, k=639)
  80. 1 9153063170 1556255197 (Phil Carmody, k=2)
  81. 1 9505014887 1766364991 (Phil Carmody, k=5)
  82. 2 0348384349 2096891197 (Phil Carmody, k=2)
  83. 2 0395757238 2304290203 (Phil Carmody, k=17)
  84. 2 0496835802 3833454227 (Phil Carmody, k=1)
  85. 2 0535387253 1921732947 (Phil Carmody, k=1)
  86. 2 0623386519 3927631717 (Phil Carmody, k=2)
  87. 2 0706892681 5360358027 (Phil Carmody, k=1)
  88. 2 0896867454 0896867453 (Phil Carmody, k=2)
  89. 2 1069800397 1568780533 (Phil Carmody, k=134)
  90. 2 1322089362 1322089361 (Phil Carmody, k=520)
  91. 2 1439340236 3767511831 (Phil Carmody, k=55)
  92. 2 1528282459 5337940747 (Dario Alpern, k=1021)
  93. 2 2090209020 9020902089 (Phil Carmody, k=4)
  94. 2 2122241836 9219269839 (Phil Carmody, k=1)
  95. 2 2681025989 3567618027 (Phil Carmody, k=1)
  96. 2 3198153512 2862452547 (Phil Carmody, k=1)
  97. 2 3326196692 9964728933 (Phil Carmody, k=94)
  98. 2 3511800212 6081695721 (Phil Carmody, k=20)
  99. 2 3527344847 7009387791 (Phil Carmody, k=255)
  100. 2 3773524433 9170305003 (Phil Carmody, k=401)
  101. 2 3925232888 9201152919 (Phil Carmody, k=1)
  102. 2 4215544364 3718509627 (Phil Carmody, k=1)
  103. 2 4361272103 5212234599 (Phil Carmody, k=1)
  104. 2 4459409549 5325258409 (Phil Carmody, k=4)
  105. 2 4533899115 5466100883 (Dario Alpern, k=1909)
  106. 2 4541665927 4656464041 (Phil Carmody, k=180)
  107. 2 4549147808 5772554877 (Phil Carmody, k=2)
  108. 2 4559602524 4559602523 (Phil Carmody, k=637)
  109. 2 4731830060 0763445523 (Phil Carmody, k=119)
  110. 2 5123676994 0537066397 (Phil Carmody, k=82)
  111. 2 5141330920 4126961761 (Phil Carmody, k=720)
  112. 2 5227995762 5227995761 (Dario Alpern, k=2120)
  113. 2 5360191133 9937994013 (Phil Carmody, k=2)
  114. 2 5385279595 3702111277 (Phil Carmody, k=282)
  115. 2 5532443023 2678939089 (Phil Carmody, k=8)
  116. 2 5958288472 1314438799 (Phil Carmody, k=111)
  117. 2 6654799980 5799949733 (Phil Carmody, k=2)
  118. 2 6804848896 5125366759 (Phil Carmody, k=13)
  119. 2 6824826606 2029571027 (Phil Carmody, k=1)
  120. 2 7030192007 0188800557 (Phil Carmody, k=42)
  121. 2 7153010768 3156055957 (Phil Carmody, k=458)
  122. 2 7668008647 3041525719 (Phil Carmody, k=1)
  123. 2 7981516176 3626449907 (Dario Alpern, k=2651)
  124. 2 8024503803 4895237231 (Phil Carmody, k=5)
  125. 2 8464732871 9771179889 (Phil Carmody, k=136)
  126. 2 8996547095 0323482467 (Phil Carmody, k=151)
  127. 2 9565800242 3404339973 (Phil Carmody, k=2)
  128. 2 9668976911 9444736003 (Phil Carmody, k=1)
  129. 2 9778693504 9406364827 (Phil Carmody, k=37)
  130. 2 9913863928 3419469403 (Phil Carmody, k=347)
  131. 3 0159991172 5195291933 (Phil Carmody, k=2)
  132. 3 0276772352 7899136677 (Phil Carmody, k=338)
  133. 3 1276198868 3674423363 (Phil Carmody, k=49)
  134. 3 1511920666 4972457907 (Phil Carmody, k=1)
  135. 3 1841405660 1367886123 (Phil Carmody, k=151)
  136. 3 2157238163 5919614399 (Phil Carmody, k=173)
  137. 3 2174191526 7481405027 (Phil Carmody, k=31)
  138. 3 2298606691 4688219373 (Phil Carmody, k=2)
  139. 3 2613784238 3670578603 (Phil Carmody, k=1)
  140. 3 3087312248 3187632317 (Dario Alpern, k=1662)
  141. 3 3142820451 3523846213 (Phil Carmody, k=2)
  142. 3 3942285610 6057714387 (Phil Carmody, k=157)
  143. 3 4268856168 1090637959 (Phil Carmody, k=193)
  144. 3 4344922570 1441235289 (Phil Carmody, k=76)
  145. 3 4460548337 1688271107 (Phil Carmody, k=1)
  146. 3 4512721321 0484292283 (Phil Carmody, k=139)
  147. 3 4729796714 4619658333 (Phil Carmody, k=106)
  148. 3 4981961984 8447308517 (Phil Carmody, k=62)
  149. 3 6224962010 2176574879 (Phil Carmody, k=11)
  150. 3 6500227170 0182206003 (Phil Carmody, k=9)
  151. 3 6648788035 5227407591 (Phil Carmody, k=5)
  152. 3 6953393102 5955777803 (Phil Carmody, k=49)
  153. 3 6954585804 2179005529 (Phil Carmody, k=268)
  154. 3 7201710913 0469037643 (Phil Carmody, k=37)
  155. 3 7308128591 9771995987 (Phil Carmody, k=7)
  156. 3 7318253611 7933898907 (Phil Carmody, k=1)
  157. 3 7347839652 7403812237 (Phil Carmody, k=166)
  158. 3 7458290067 3979622089 (Phil Carmody, k=148)
  159. 3 7589517746 3587730387 (Phil Carmody, k=23)
  160. 3 7641352511 1405210679 (Phil Carmody, k=1)
  161. 3 7826047488 5107986637 (Phil Carmody, k=102)
  162. 3 8227229760 5198368129 (Dario Alpern, k=1216)
  163. 3 8587965875 7363948403 (Phil Carmody, k=19)
  164. 3 9013541028 1583452999 (Phil Carmody, k=1)
  165. 3 9014321306 7816947003 (Phil Carmody, k=1)
  166. 3 9370424797 7100339907 (Phil Carmody, k=1)
  167. 3 9571798929 4114997533 (Phil Carmody, k=2)
  168. 3 9999999999 9999999997 (Phil Carmody, k=2)
  169. 4 0846896557 5536867277 (Phil Carmody, k=2)
  170. 4 1146441982 7196339627 (Phil Carmody, k=1)
  171. 4 1313179240 0438168557 (Phil Carmody, k=62)
  172. 4 2016496852 6372932493 (Phil Carmody, k=266)
  173. 4 2164733375 4670780431 (Phil Carmody, k=5)
  174. 4 2498514324 4969371969 (Phil Carmody, k=96)
  175. 4 2738162568 4790740723 (Phil Carmody, k=1)
  176. 4 3403564259 8835058123 (Dario Alpern, k=1927)
  177. 4 3699789516 7886926347 (Phil Carmody, k=167)
  178. 4 4567268902 5667099107 (Phil Carmody, k=1)
  179. 4 5276546150 5276546147 (Phil Carmody, k=13)
  180. 4 5588948987 1237424707 (Phil Carmody, k=1)
  181. 4 5670728233 7724105711 (Phil Carmody, k=45)
  182. 4 5686122875 2912587399 (Phil Carmody, k=1)
  183. 4 5826732024 0839934639 (Phil Carmody, k=323)
  184. 4 6492159473 1396910323 (Phil Carmody, k=79)
  185. 4 6882683482 9630081641 (Phil Carmody, k=340)
  186. 4 7096969545 6368665107 (Phil Carmody, k=1)
  187. 4 7176549573 5681072283 (Phil Carmody, k=49)
  188. 4 7199821371 9922640733 (Phil Carmody, k=2)
  189. 4 7364938845 8286408573 (Phil Carmody, k=2)
  190. 4 8286369725 9441748213 (Phil Carmody, k=2)
  191. 4 8642635322 0335254453 (Dario Alpern, k=1922)
  192. 4 9158241090 8564181681 (Dario Alpern, k=1160)
  193. 4 9189767456 9086817547 (Phil Carmody, k=1)
  194. 4 9318085241 6627721963 (Phil Carmody, k=7)
  195. 4 9326849590 9812741801 (Phil Carmody, k=100)
  196. 4 9606647857 6045506933 (Phil Carmody, k=2)
  197. 5 0950357391 1516802757 (Phil Carmody, k=118)
  198. 5 2407550155 8837220049 (Phil Carmody, k=56)
  199. 5 2796263012 8010310773 (Phil Carmody, k=14)
  200. 5 3678995586 9058831787 (Phil Carmody, k=7)
  201. 5 4206903327 4206903323 (Phil Carmody, k=39)
  202. 5 4750627555 8162372849 (Dario Alpern, k=1864)
  203. 5 4971168381 9843483467 (Phil Carmody, k=647)
  204. 5 5331288975 1859982933 (Dario Alpern, k=1426)
  205. 5 5416486052 4949023437 (Phil Carmody, k=102)
  206. 5 5569490709 7342838409 (Phil Carmody, k=4)
  207. 5 5817338709 2296840679 (Phil Carmody, k=261)
  208. 5 6124268212 9781427203 (Phil Carmody, k=189)
  209. 5 7355715387 2607384239 (Phil Carmody, k=1)
  210. 5 7658842811 7522236267 (Phil Carmody, k=1)
  211. 5 8150055504 0060829049 (Phil Carmody, k=628)
  212. 5 8616171096 9513910199 (Phil Carmody, k=803)
  213. 5 9423025203 4222798809 (Phil Carmody, k=4)
  214. 5 9485410383 0840092867 (Phil Carmody, k=1)
  215. 5 9566036527 6144701077 (Phil Carmody, k=2)
  216. 5 9647354850 7723603907 (Phil Carmody, k=7)
  217. 5 9660012253 4709517199 (Phil Carmody, k=611)
  218. 6 0746840540 6516305147 (Phil Carmody, k=47)
  219. 6 2574904637 8203303733 (Phil Carmody, k=2)
  220. 6 2868083754 4443909787 (Phil Carmody, k=1)
  221. 6 3410234931 2974128907 (Phil Carmody, k=11)
  222. 6 4121766853 6719315787 (Phil Carmody, k=1)
  223. 6 5411616220 7367599587 (Phil Carmody, k=7)
  224. 6 5466940164 9411666613 (Phil Carmody, k=2)
  225. 6 5654448586 9704014083 (Phil Carmody, k=97)
  226. 6 6495433898 4560420849 (Phil Carmody, k=104)
  227. 6 6878998830 8792498569 (Dario Alpern, k=1988)
  228. 6 7222848218 8314996397 (Phil Carmody, k=2)
  229. 6 7706446461 2009532511 (Dario Alpern, k=1685)
  230. 6 7775914122 7775914117 (Phil Carmody, k=2)
  231. 6 8360847447 1542865163 (Phil Carmody, k=1)
  232. 6 8698523881 7015355559 (Phil Carmody, k=1)
  233. 7 3154748979 7128153843 (Phil Carmody, k=77)
  234. 7 4209258743 6885071707 (Phil Carmody, k=347)
  235. 7 4714216095 9324576843 (Phil Carmody, k=187)
  236. 7 4930896853 3191275271 (Phil Carmody, k=15)
  237. 7 5296419928 3713020803 (Phil Carmody, k=1)
  238. 7 6364804821 8047339293 (Phil Carmody, k=2)
  239. 7 7515153797 9059946569 (Phil Carmody, k=4)
  240. 7 7725572723 6506016907 (Phil Carmody, k=1)
  241. 7 8003392903 3646957253 (Phil Carmody, k=2)
  242. 7 8031299043 1236608271 (Phil Carmody, k=215)
  243. 7 8123510815 9839068803 (Phil Carmody, k=1)
  244. 7 9733496922 5084521557 (Phil Carmody, k=26)
  245. 8 0091944453 5042437529 (Phil Carmody, k=28)
  246. 8 0169736413 5129598391 (Phil Carmody, k=5)
  247. 8 0712016738 5954649921 (Dario Alpern, k=1120)
  248. 8 4203635191 3708585679 (Phil Carmody, k=151)
  249. 8 4491679547 0053774991 (Phil Carmody, k=305)
  250. 8 4527350379 0804386439 (Dario Alpern, k=2219)
  251. 8 5531889262 8791918169 (Phil Carmody, k=4)
  252. 8 5969808476 5728928403 (Dario Alpern, k=1019)
  253. 8 6444858257 7485993693 (Phil Carmody, k=2)
  254. 8 6474656124 0606109551 (Phil Carmody, k=25)
  255. 8 6941764038 6941764031 (Phil Carmody, k=5)
  256. 8 7717759403 7024690089 (Phil Carmody, k=28)
  257. 8 8694303560 1169551077 (Phil Carmody, k=46)
  258. 8 9884676492 7644434507 (Phil Carmody, k=1)
  259. 9 1288753206 2696120107 (Phil Carmody, k=1)
  260. 9 1892446624 2264411799 (Dario Alpern, k=2781)
  261. 9 2762413426 0275716947 (Phil Carmody, k=1)
  262. 9 3390948366 6333976147 (Phil Carmody, k=307)
  263. 9 3747570691 0099252723 (Phil Carmody, k=437)
  264. 9 4650185655 3195335881 (Phil Carmody, k=60)
  265. 9 5200527496 4716995271 (Phil Carmody, k=215)
  266. 9 5948876263 8496179277 (Phil Carmody, k=22)
  267. 9 5999169172 1106528881 (Phil Carmody, k=40)
  268. 9 7405921616 8176734201 (Phil Carmody, k=100)
  269. 9 7667358491 7667358483 (Phil Carmody, k=1)
  270. 9 7816518388 1076470533 (Dario Alpern, k=1214)
  271. 9 8379534913 8173635093 (Phil Carmody, k=2)
  272. 9 9099266911 9161373237 (Phil Carmody, k=26)
  273. 9 9734385944 5501196719 (Phil Carmody, k=1)
  274. 9 9808890594 4196010067 (Phil Carmody, k=311)