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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
27029339540586798 ~1989
270295032702950319 ~1991
270298872702988719 ~1991
270308112703081119 ~1991
27030959281121973710 ~1993
27031211540624238 ~1989
27031223540624478 ~1989
27031379540627598 ~1989
27031583540631678 ~1989
27032051540641038 ~1989
27032111540642238 ~1989
27032339540646798 ~1989
27033299540665998 ~1989
270333432703334319 ~1991
27033491540669838 ~1989
270336192703361919 ~1991
27033899540677998 ~1989
27033911540678238 ~1989
27034151540683038 ~1989
27034439540688798 ~1989
27034523540690478 ~1989
270349331622095999 ~1990
27035399540707998 ~1989
27035843540716878 ~1989
270360772162886179 ~1990
Exponent Prime Factor Digits Year
27037319540746398 ~1989
27037331540746638 ~1989
27037739540754798 ~1989
27038519540770398 ~1989
27038591540771838 ~1989
27038723540774478 ~1989
270394971622369839 ~1990
27039599540791998 ~1989
270397032703970319 ~1991
27039791540795838 ~1989
27039839540796798 ~1989
27040631540812638 ~1989
27040763540815278 ~1989
270409912163279299 ~1990
27041039540820798 ~1989
270410411622462479 ~1990
27041291540825838 ~1989
27041771540835438 ~1989
27041831540836638 ~1989
27042419540848398 ~1989
27044351540887038 ~1989
27044651540893038 ~1989
27044879540897598 ~1989
27044903540898078 ~1989
270453531622721199 ~1990
Exponent Prime Factor Digits Year
27045611540912238 ~1989
27046199540923998 ~1989
27046559540931198 ~1989
27046619540932398 ~1989
27046751540935038 ~1989
270471173786596399 ~1991
27047243540944878 ~1989
27047519540950398 ~1989
27047591540951838 ~1989
270475912163807299
270477292163818339 ~1990
27047759540955198 ~1989
27048551540971038 ~1989
27048611540972238 ~1989
27049259540985198 ~1989
270493138114793919 ~1992
27049751540995038 ~1989
270505574328089139 ~1991
27051109210998650310 ~1993
27051119541022398 ~1989
27051191541023838 ~1989
27051659541033198 ~1989
27051863541037278 ~1989
27052583541051678 ~1989
27052643541052878 ~1989
Exponent Prime Factor Digits Year
270528971623173839 ~1990
27053231541064638 ~1989
27053303541066078 ~1989
27053711541074238 ~1989
27053713275947872710 ~1993
27053879541077598 ~1989
27054179541083598 ~1989
270557811623346879 ~1990
27056219541124398 ~1989
270562334328997299 ~1991
27056339541126798 ~1989
270569898117096719 ~1992
27057011541140238 ~1989
27057743541154878 ~1989
270579292164634339 ~1990
27058103541162078 ~1989
27058259541165198 ~1989
27058331541166638 ~1989
27058463541169278 ~1989
27058571541171438 ~1989
27059003541180078 ~1989
27059531541190638 ~1989
27060023541200478 ~1989
27060083541201678 ~1989
27060359541207198 ~1989
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25-04-13