Known 19-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 19-digit prime factors of Googolplex − 10

This is a list of known 19-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. 101199835 6140803797 (Dario Alpern, k=2742)
  2. 101901074 4458336719 (Phil Carmody, k=1)
  3. 102117223 9329077089 (Phil Carmody, k=16)
  4. 102458849 2834478449 (Phil Carmody, k=8)
  5. 103473275 8007874067 (Phil Carmody, k=1)
  6. 103944349 6377807907 (Phil Carmody, k=7)
  7. 104769714 2379855133 (Phil Carmody, k=562)
  8. 104801134 5379308253 (Phil Carmody, k=2)
  9. 105664551 3314396923 (Phil Carmody, k=7)
  10. 108615962 4700577681 (Phil Carmody, k=40)
  11. 108995202 3071846161 (Dario Alpern, k=1720)
  12. 111294171 3437323603 (Phil Carmody, k=7)
  13. 112245796 3923230923 (Phil Carmody, k=39)
  14. 113687337 3512612563 (Phil Carmody, k=239)
  15. 115857386 5084016077 (Phil Carmody, k=2)
  16. 116349339 3617297089 (Phil Carmody, k=96)
  17. 118009361 3118805639 (Phil Carmody, k=181)
  18. 118815823 1598667003 (Phil Carmody, k=239)
  19. 118875948 2507386679 (Phil Carmody, k=329)
  20. 119197660 1975664319 (Phil Carmody, k=171)
  21. 122270529 6359894293 (Phil Carmody, k=2)
  22. 123355465 8588855787 (Phil Carmody, k=1)
  23. 123425599 0785665311 (Phil Carmody, k=45)
  24. 124902130 9148440561 (Phil Carmody, k=120)
  25. 126059461 2873749837 (Phil Carmody, k=358)
  26. 127015746 6661669213 (Phil Carmody, k=142)
  27. 127344180 8590971889 (Phil Carmody, k=8)
  28. 127592762 0127592763 (Phil Carmody, k=1)
  29. 131701055 1657451597 (Phil Carmody, k=2)
  30. 132013201 3201320133 (Phil Carmody, k=2)
  31. 135505799 6830963561 (Phil Carmody, k=20)
  32. 140376503 2405748959 (Phil Carmody, k=1)
  33. 141088243 3171663717 (Phil Carmody, k=62)
  34. 142540730 4269640253 (Phil Carmody, k=2)
  35. 143244907 5346400197 (Phil Carmody, k=2)
  36. 144270962 8659122449 (Phil Carmody, k=8)
  37. 144611741 8839895561 (Phil Carmody, k=20)
  38. 146021398 2635110693 (Phil Carmody, k=2)
  39. 146640722 6708222437 (Phil Carmody, k=842)
  40. 148906522 2031528747 (Phil Carmody, k=1)
  41. 149078071 6669834921 (Dario Alpern, k=2540)
  42. 150159364 3310275241 (Phil Carmody, k=20)
  43. 151443572 5328683957 (Phil Carmody, k=86)
  44. 153917677 1213996003 (Phil Carmody, k=1)
  45. 155994482 9834974243 (Phil Carmody, k=979)
  46. 157237316 3966931199 (Phil Carmody, k=1)
  47. 158666640 0158666641 (Phil Carmody, k=40)
  48. 161686897 7247255947 (Phil Carmody, k=23)
  49. 163631695 0818532159 (Dario Alpern, k=2521)
  50. 164841693 8692146877 (Phil Carmody, k=2)
  51. 166811003 9862752929 (Phil Carmody, k=208)
  52. 171933008 6802711637 (Phil Carmody, k=2)
  53. 172414201 3160919133 (Phil Carmody, k=2)
  54. 174890840 6830079947 (Phil Carmody, k=1)
  55. 176733108 1886391907 (Phil Carmody, k=151)
  56. 177596601 6186039763 (Dario Alpern, k=1099)
  57. 177859672 2212836963 (Phil Carmody, k=37)
  58. 178348028 7628220947 (Phil Carmody, k=541)
  59. 180684372 0180684373 (Phil Carmody, k=2)
  60. 180926511 2526331241 (Phil Carmody, k=20)
  61. 183998579 7533666311 (Phil Carmody, k=495)
  62. 185043517 1674875083 (Phil Carmody, k=341)
  63. 185590803 7702430317 (Phil Carmody, k=2)
  64. 185862775 3272561449 (Phil Carmody, k=4)
  65. 186086557 0222799351 (Phil Carmody, k=175)
  66. 190639305 8878096837 (Phil Carmody, k=2)
  67. 192540401 8123115483 (Phil Carmody, k=1)
  68. 192773073 7962208477 (Phil Carmody, k=2)
  69. 193352280 0193352281 (Phil Carmody, k=580)
  70. 195199071 7026882241 (Phil Carmody, k=480)
  71. 197637556 1089432813 (Phil Carmody, k=2)
  72. 198371745 2287352827 (Dario Alpern, k=1857)
  73. 203687266 9757292013 (Phil Carmody, k=2)
  74. 204257536 5370220053 (Phil Carmody, k=2)
  75. 206652126 2923063277 (Phil Carmody, k=758)
  76. 206946551 6015748133 (Phil Carmody, k=2)
  77. 212746954 0218395077 (Phil Carmody, k=2)
  78. 215231207 0055550511 (Phil Carmody, k=5)
  79. 222020300 9548859227 (Phil Carmody, k=1)
  80. 222270530 6954943799 (Phil Carmody, k=13)
  81. 224888627 4313856761 (Phil Carmody, k=20)
  82. 227834198 4584269843 (Phil Carmody, k=7)
  83. 228560312 8553727511 (Phil Carmody, k=345)
  84. 239041434 2868523507 (Phil Carmody, k=1)
  85. 239443884 6741662689 (Phil Carmody, k=16)
  86. 241091204 0161458277 (Phil Carmody, k=2)
  87. 245822453 5049122159 (Phil Carmody, k=1)
  88. 248204779 6921460923 (Phil Carmody, k=7)
  89. 254271849 6491895613 (Phil Carmody, k=2)
  90. 254636804 4273991081 (Phil Carmody, k=260)
  91. 257582079 2807709163 (Phil Carmody, k=577)
  92. 265154434 4938097599 (Phil Carmody, k=23)
  93. 273409793 2047758413 (Phil Carmody, k=2)
  94. 273599578 4610294757 (Phil Carmody, k=22)
  95. 275769194 5071429733 (Dario Alpern, k=1354)
  96. 278943536 1880325929 (Phil Carmody, k=868)
  97. 279004520 1211002803 (Phil Carmody, k=1)
  98. 279988943 4674420923 (Phil Carmody, k=269)
  99. 281114184 8378172409 (Phil Carmody, k=68)
  100. 286739779 9325766191 (Phil Carmody, k=145)
  101. 291440631 4003850563 (Phil Carmody, k=39)
  102. 295161147 8245663201 (Phil Carmody, k=400)
  103. 297966610 3089845041 (Phil Carmody, k=40)
  104. 299221446 3269518477 (Phil Carmody, k=22)
  105. 304218145 2097057843 (Phil Carmody, k=39)
  106. 305306991 5205910519 (Phil Carmody, k=51)
  107. 308700754 6532931199 (Phil Carmody, k=211)
  108. 314474632 7933862397 (Phil Carmody, k=2)
  109. 318509919 6810802471 (Phil Carmody, k=15)
  110. 318721912 3824698009 (Phil Carmody, k=4)
  111. 322755333 4122692587 (Phil Carmody, k=431)
  112. 323166879 4238262907 (Phil Carmody, k=11)
  113. 324339758 5063114117 (Phil Carmody, k=62)
  114. 325203252 0325203253 (Phil Carmody, k=2)
  115. 329917008 3216331039 (Phil Carmody, k=13)
  116. 338301690 6205363747 (Phil Carmody, k=1)
  117. 345805532 3731235239 (Phil Carmody, k=1)
  118. 353376098 5140290917 (Phil Carmody, k=2)
  119. 356079129 1672476467 (Phil Carmody, k=43)
  120. 360340833 4859106973 (Phil Carmody, k=214)
  121. 364827680 8613700493 (Dario Alpern, k=2722)
  122. 365753220 5002926427 (Phil Carmody, k=11)
  123. 365869192 9059392111 (Phil Carmody, k=5)
  124. 366875436 0340200643 (Phil Carmody, k=7)
  125. 368376705 7173427951 (Phil Carmody, k=25)
  126. 373432500 4886146639 (Phil Carmody, k=1)
  127. 374773142 9264797129 (Phil Carmody, k=28)
  128. 376176439 2351096289 (Phil Carmody, k=16)
  129. 377164255 9498797961 (Phil Carmody, k=20)
  130. 388143617 2341936401 (Phil Carmody, k=200)
  131. 388196118 0388196119 (Dario Alpern, k=1941)
  132. 391893271 8668824609 (Phil Carmody, k=816)
  133. 402204508 3536489439 (Phil Carmody, k=13)
  134. 403860605 7663635603 (Phil Carmody, k=1)
  135. 408991774 5415102831 (Phil Carmody, k=5)
  136. 409731107 9562512809 (Phil Carmody, k=188)
  137. 415661009 4130478077 (Phil Carmody, k=2)
  138. 418599012 8231929117 (Phil Carmody, k=2)
  139. 419402629 8241184809 (Phil Carmody, k=156)
  140. 421222533 9035083921 (Phil Carmody, k=40)
  141. 424815829 8453195391 (Phil Carmody, k=5)
  142. 429884481 9570115519 (Phil Carmody, k=601)
  143. 430828656 3166782307 (Phil Carmody, k=1)
  144. 437783456 6622487147 (Phil Carmody, k=1)
  145. 446781261 3352740031 (Phil Carmody, k=5)
  146. 454767115 8715538107 (Phil Carmody, k=1)
  147. 464905330 5667199203 (Phil Carmody, k=9)
  148. 467476248 8452970083 (Dario Alpern, k=1027)
  149. 474994436 9497505839 (Phil Carmody, k=11)
  150. 480454786 9704313231 (Phil Carmody, k=5)
  151. 491616460 7083881997 (Phil Carmody, k=26)
  152. 496590248 9097505693 (Phil Carmody, k=94)
  153. 498906117 6503657653 (Phil Carmody, k=14)
  154. 503446201 7973087547 (Phil Carmody, k=7)
  155. 505298799 5737713679 (Phil Carmody, k=881)
  156. 505593940 8112292239 (Phil Carmody, k=343)
  157. 505597566 9731304803 (Phil Carmody, k=11)
  158. 509113000 4496687133 (Phil Carmody, k=2)
  159. 513612254 8845663157 (Phil Carmody, k=2)
  160. 515221290 0237317311 (Phil Carmody, k=45)
  161. 520888048 3759554757 (Phil Carmody, k=42)
  162. 524051528 3578298587 (Phil Carmody, k=1)
  163. 528701642 9680911883 (Phil Carmody, k=17)
  164. 536244153 7124881133 (Dario Alpern, k=2786)
  165. 536361096 9386968271 (Phil Carmody, k=35)
  166. 537457497 3868032013 (Phil Carmody, k=2)
  167. 542053116 0542053117 (Phil Carmody, k=2)
  168. 542475046 0510971853 (Phil Carmody, k=662)
  169. 543195671 0401927477 (Phil Carmody, k=2)
  170. 546299140 0313164001 (Dario Alpern, k=2000)
  171. 564141291 2987123197 (Phil Carmody, k=2)
  172. 569368970 6273972191 (Phil Carmody, k=5)
  173. 575021230 0958886877 (Phil Carmody, k=2)
  174. 585280877 9652613763 (Phil Carmody, k=1)
  175. 588264153 8028207907 (Phil Carmody, k=1)
  176. 593907600 1373348437 (Phil Carmody, k=2)
  177. 597641117 0422069081 (Phil Carmody, k=60)
  178. 609027705 4582481533 (Phil Carmody, k=2)
  179. 615439171 8953101969 (Phil Carmody, k=8)
  180. 617224103 7537321079 (Phil Carmody, k=293)
  181. 620413328 5531884559 (Phil Carmody, k=601)
  182. 621116236 4358589523 (Phil Carmody, k=1)
  183. 626891354 6305014089 (Phil Carmody, k=4)
  184. 628028929 1321098237 (Phil Carmody, k=2)
  185. 640494613 5280879507 (Phil Carmody, k=1)
  186. 643187783 7455884117 (Phil Carmody, k=106)
  187. 643576000 1671161919 (Phil Carmody, k=1)
  188. 650824428 4491826999 (Phil Carmody, k=1)
  189. 658564547 2306905799 (Phil Carmody, k=1)
  190. 662539153 0260122209 (Phil Carmody, k=16)
  191. 666563765 9311657049 (Phil Carmody, k=4)
  192. 667405955 5428248587 (Phil Carmody, k=17)
  193. 667817471 6485259609 (Phil Carmody, k=4)
  194. 668542487 8497449173 (Phil Carmody, k=62)
  195. 668677949 4482837203 (Phil Carmody, k=17)
  196. 678010047 7370770441 (Dario Alpern, k=1980)
  197. 678071074 8796882957 (Phil Carmody, k=2)
  198. 707144185 2496028933 (Phil Carmody, k=346)
  199. 709723595 8333485973 (Phil Carmody, k=14)
  200. 720079102 7508105283 (Phil Carmody, k=47)
  201. 730753526 8719218641 (Phil Carmody, k=40)
  202. 734752802 0734752803 (Phil Carmody, k=161)
  203. 738927493 7501454911 (Dario Alpern, k=1205)
  204. 748443848 0748443849 (Phil Carmody, k=4)
  205. 766193290 0767524707 (Phil Carmody, k=1)
  206. 791537924 2238765107 (Phil Carmody, k=1)
  207. 796932265 5689352319 (Phil Carmody, k=1)
  208. 806533242 4285717681 (Phil Carmody, k=360)
  209. 808178378 8134911053 (Phil Carmody, k=2)
  210. 827317130 5119978707 (Phil Carmody, k=313)
  211. 833377335 4310774107 (Phil Carmody, k=1)
  212. 840501178 9553372467 (Phil Carmody, k=1)
  213. 848591903 2066835041 (Phil Carmody, k=880)
  214. 855350704 4517049231 (Phil Carmody, k=35)
  215. 860432844 4987308679 (Phil Carmody, k=1)
  216. 874241883 5047387003 (Phil Carmody, k=289)
  217. 883600159 4217887203 (Phil Carmody, k=19)
  218. 886352359 7439065609 (Phil Carmody, k=4)
  219. 892516653 2493759241 (Phil Carmody, k=980)
  220. 911365977 3492528041 (Phil Carmody, k=20)
  221. 948104615 7245504603 (Phil Carmody, k=1)
  222. 971115491 8063494163 (Phil Carmody, k=9)
  223. 971134914 3104105839 (Phil Carmody, k=1)
  224. 973838589 6641337563 (Phil Carmody, k=1)