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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
42000683840013678 ~1991
42001259840025198 ~1991
420013036720208499 ~1993
420014474200144719 ~1992
42002351840047038 ~1991
420037612520225679 ~1992
420041532520249199 ~1992
42005459840109198 ~1991
42005809630087135110 ~1995
42006143840122878 ~1991
42006353100815247310 ~1993
42006851840137038 ~1991
42007859840157198 ~1991
420080234200802319 ~1992
42008243840164878 ~1991
42008339840166798 ~1991
42009059840181198 ~1991
420096772520580639 ~1992
42009923840198478 ~1991
42010439840208798 ~1991
420108173360865379 ~1992
42011423840228478 ~1991
420118572520711439 ~1992
420127874201278719 ~1992
42012863840257278 ~1991
Exponent Prime Factor Digits Year
42015383840307678 ~1991
42015419840308398 ~1991
420157193361257539 ~1992
42016763840335278 ~1991
420176397563175039 ~1993
420177917563202399 ~1993
420179812521078879 ~1992
420182335882552639 ~1993
420184612521107679 ~1992
42018731840374638 ~1991
420193572521161439 ~1992
420194932521169599 ~1992
420198677563576079 ~1993
42020003840400078 ~1991
42022979840459598 ~1991
42023903840478078 ~1991
42023951840479038 ~1991
42024539840490798 ~1991
42025871840517438 ~1991
42026723840534478 ~1991
420268135883753839 ~1993
42028643840572878 ~1991
420292972521757839 ~1992
42031271840625438 ~1991
42031823840636478 ~1991
Exponent Prime Factor Digits Year
42032231411915863910 ~1995
42032591840651838 ~1991
42033143840662878 ~1991
42033371840667438 ~1991
420340514203405119 ~1992
42034103840682078 ~1991
42034211840684238 ~1991
42036119840722398 ~1991
42036311840726238 ~1991
42036443840728878 ~1991
420374532522247199 ~1992
42037799840755998 ~1991
420381413363051299 ~1992
42038303840766078 ~1991
420390132522340799 ~1992
420395234203952319 ~1992
42040451840809038 ~1991
42041183840823678 ~1991
42041579840831598 ~1991
42041963840839278 ~1991
420421572522529439 ~1992
42043559840871198 ~1991
420446093363568739 ~1992
42044903840898078 ~1991
42045203840904078 ~1991
Exponent Prime Factor Digits Year
42045491840909838 ~1991
42046619840932398 ~1991
42047459840949198 ~1991
420482693363861539 ~1992
42049837126149511110 ~1993
42050423841008478 ~1991
420509513364076099 ~1992
42051671841033438 ~1991
42052379841047598 ~1991
42052403841048078 ~1991
42052739841054798 ~1991
42052919841058398 ~1991
42052931841058638 ~1991
420531132523186799 ~1992
42053171841063438 ~1991
42054431841088638 ~1991
42054503841090078 ~1991
42054671841093438 ~1991
42054839841096798 ~1991
42056543841130878 ~1991
42056561126169683110 ~1993
42057791841155838 ~1991
42057959841159198 ~1991
42058403841168078 ~1991
42058417126175251110 ~1993
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26-02-08