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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
30281123605622478 ~1989
30281579605631598 ~1989
30282299605645998 ~1989
30282971605659438 ~1989
30283031605660638 ~1989
30283271605665438 ~1989
302833131816998799 ~1991
30283391605667838 ~1989
30283679605673598 ~1989
302839072422712579 ~1991
30284099605681998 ~1989
302841315451143599 ~1992
30284231605684638 ~1989
30284543605690878 ~1989
30284843605696878 ~1989
302858595451454639 ~1992
30286391605727838 ~1989
302863939085917919 ~1992
30286463605729278 ~1989
30287077121148308110 ~1993
30287303605746078 ~1989
30287639605752798 ~1989
302878131817268799 ~1991
30288431605768638 ~1989
30288851605777038 ~1989
Exponent Prime Factor Digits Year
30289043605780878 ~1989
30289403605788078 ~1989
30289739605794798 ~1989
302900272423202179 ~1991
30290159605803198 ~1989
30290411605808238 ~1989
30290783605815678 ~1989
30291071605821438 ~1989
30291323605826478 ~1989
30291623605832478 ~1989
30292319605846398 ~1989
30292331605846638 ~1989
30292523605850478 ~1989
302936171817617039 ~1991
30293663605873278 ~1989
30293843605876878 ~1989
302941633029416319 ~1991
30294311605886238 ~1989
30294359605887198 ~1989
30294431605888638 ~1989
30294779605895598 ~1989
30294851605897038 ~1989
30295019605900398 ~1989
30295103605902078 ~1989
302953811817722879 ~1991
Exponent Prime Factor Digits Year
302955437270930339 ~1992
30295799605915998 ~1989
30296603605932078 ~1989
30296699605933998 ~1989
30296803121187212110 ~1993
30297203605944078 ~1989
30297251605945038 ~1989
30298091605961838 ~1989
302986514847784179 ~1992
30298679605973598 ~1989
302988171817929039 ~1991
30299063605981278 ~1989
302993171817959039 ~1991
30299603605992078 ~1989
302997611817985679 ~1991
30300191606003838 ~1989
303001912424015299
30300311606006238 ~1989
30300503606010078 ~1989
30300551606011038 ~1989
30300719606014398 ~1989
30300899606017998 ~1989
303014931818089599 ~1991
30301763606035278 ~1989
30302183606043678 ~1989
Exponent Prime Factor Digits Year
30302411606048238 ~1989
303031372424250979 ~1991
30303191606063838 ~1989
30303599606071998 ~1989
303043971818263839 ~1991
30304451606089038 ~1989
30304559606091198 ~1989
30305039606100798 ~1989
30305699606113998 ~1989
303058273030582719 ~1991
30305843606116878 ~1989
303058611818351679 ~1991
303065411818392479 ~1991
30306791606135838 ~1989
30306803606136078 ~1989
30306863606137278 ~1989
30307499606149998 ~1989
30308303606166078 ~1989
303084894243188479 ~1991
30308711606174238 ~1989
303088696667951199 ~1992
30308879606177598 ~1989
30309371606187438 ~1989
30309551606191038 ~1989
303097811818586879 ~1991
1788
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25-10-20