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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
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
302955437270930339 ~1992
30295799605915998 ~1989
30296603605932078 ~1989
30296699605933998 ~1989
30296803121187212110 ~1993
30297203605944078 ~1989
30297251605945038 ~1989
30298091605961838 ~1989
302986514847784179 ~1992
30298679605973598 ~1989
302988171817929039 ~1991
30299063605981278 ~1989
Exponent Prime Factor Digits Year
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
30302411606048238 ~1989
303031372424250979 ~1991
30303191606063838 ~1989
30303599606071998 ~1989
303043971818263839 ~1991
30304451606089038 ~1989
30304559606091198 ~1989
30305039606100798 ~1989
30305699606113998 ~1989
30305843606116878 ~1989
303058611818351679 ~1991
303065411818392479 ~1991
Exponent Prime Factor Digits Year
30306791606135838 ~1989
30306803606136078 ~1989
30306863606137278 ~1989
30307499606149998 ~1989
30308303606166078 ~1989
30308711606174238 ~1989
303088696667951199 ~1992
30308879606177598 ~1989
30309371606187438 ~1989
30309551606191038 ~1989
303097811818586879 ~1991
303114531818687199 ~1991
30312323606246478 ~1989
30312563606251278 ~1989
303131833031318319 ~1991
303134531818807199 ~1991
30313583606271678 ~1989
30313763606275278 ~1989
303141131818846799 ~1991
30314279606285598 ~1989
303144077275457699 ~1992
30314411606288238 ~1989
30314639606292798 ~1989
30315563606311278 ~1989
30315671606313438 ~1989
Exponent Prime Factor Digits Year
30316259606325198 ~1989
30316931606338638 ~1989
30317029121268116110 ~1993
30317879606357598 ~1989
30318143606362878 ~1989
30318551606371038 ~1989
30318791606375838 ~1989
30319463606389278 ~1989
303197771819186639 ~1991
30319871606397438 ~1989
30320243606404878 ~1989
30320291606405838 ~1989
30320651606413038 ~1989
30320711606414238 ~1989
30321023606420478 ~1989
303211211819267279 ~1991
30321779606435598 ~1989
30322343606446878 ~1989
30323339606466798 ~1989
30323519606470398 ~1989
30323939606478798 ~1989
30324179606483598 ~1989
303246011819476079 ~1991
30324743606494878 ~1989
303250273032502719 ~1991
1730
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25-04-13