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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
202223511617788099 ~1990
20224091404481838 ~1988
202244811213468879 ~1989
202245591617964739 ~1990
202259871618078979 ~1990
20226023404520478 ~1988
20226071404521438 ~1988
20226359404527198 ~1988
202265171213591039 ~1989
202273931213643599 ~1989
20227859404557198 ~1988
20228363404567278 ~1988
202287792022877919 ~1990
20228783404575678 ~1988
20228951404579038 ~1988
20230103404602078 ~1988
20230499404609998 ~1988
202305711618445699 ~1990
20230643404612878 ~1988
2023074148780362699312 ~1998
20230751404615038 ~1988
20231279404625598 ~1988
20231303404626078 ~1988
20231423404628478 ~1988
202314611213887679 ~1989
Exponent Prime Factor Digits Year
20231591404631838 ~1988
20232011404640238 ~1988
20232071404641438 ~1988
20232143404642878 ~1988
202322932832521039 ~1990
20232731404654638 ~1988
20233319404666398 ~1988
20233463404669278 ~1988
20233771570592342310 ~1993
202338971214033839 ~1989
20233919404678398 ~1988
20233943404678878 ~1988
202341171618729379 ~1990
202345791618766339 ~1990
202354191618833539 ~1990
20235599404711998 ~1988
202356471618851779 ~1990
202358691618869539 ~1990
202365371214192239 ~1989
20236943404738878 ~1988
20237051404741038 ~1988
20237411404748238 ~1988
20237963404759278 ~1988
202380171214281039 ~1989
202380672023806719 ~1990
Exponent Prime Factor Digits Year
20238131404762638 ~1988
20238719404774398 ~1988
202389891619119139 ~1990
202390334452587279 ~1991
20239463404789278 ~1988
202395292833534079 ~1990
20239679404793598 ~1988
20240219404804398 ~1988
20240399404807998 ~1988
20240543404810878 ~1988
202407891619263139 ~1990
20240903404818078 ~1988
20241131404822638 ~1988
20241563404831278 ~1988
202416534857996739 ~1991
20241731404834638 ~1988
20242031404840638 ~1988
20242199404843998 ~1988
20242451404849038 ~1988
202426971214561839 ~1989
202430811214584879 ~1989
20243291404865838 ~1988
20243339404866798 ~1988
20243579404871598 ~1988
202435931214615599 ~1989
Exponent Prime Factor Digits Year
20243603404872078 ~1988
202436899716970739 ~1991
20243831404876638 ~1988
20243843404876878 ~1988
20244599404891998 ~1988
20244839404896798 ~1988
202452131214712799 ~1989
20245499404909998 ~1988
20245559404911198 ~1988
202456376073691119 ~1991
20246123404922478 ~1988
20246483404929678 ~1988
202465911619727299 ~1990
20246783404935678 ~1988
202469211214815279 ~1989
20247239404944798 ~1988
20247803404956078 ~1988
202481811619854499 ~1990
202482731214896399 ~1989
20248451404969038 ~1988
20249123404982478 ~1988
20249291404985838 ~1988
20249423404988478 ~1988
202494433239910899 ~1990
20249819404996398 ~1988
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