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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
57999713313198450310 ~1995
579998631159997279 ~1992
580007511160015039 ~1992
580012911160025839 ~1992
580013511160027039 ~1992
58002017139204840910 ~1994
580040031160080079 ~1992
580049391160098799 ~1992
580054431160108879 ~1992
580056373480338239 ~1993
580059711160119439 ~1992
580070391160140799 ~1992
580090791160181599 ~1992
580091631160183279 ~1992
580098111160196239 ~1992
580116591160233199 ~1992
580133031160266079 ~1992
580136991160273999 ~1992
580140831160281679 ~1992
580141791160283599 ~1992
580158711160317439 ~1992
580159311160318639 ~1992
580172173481033039 ~1993
58017847139242832910 ~1994
580192311160384639 ~1992
Exponent Prime Factor Digits Year
580196511160393039 ~1992
580196533481179199 ~1993
580199991160399999 ~1992
580211694641693539 ~1993
580213431160426879 ~1992
580222911160445839 ~1992
580224538123143439 ~1994
580232631160465279 ~1992
580242591160485199 ~1992
580251111160502239 ~1992
580258613481551679 ~1993
580267191160534399 ~1992
580268631160537279 ~1992
580269111160538239 ~1992
580289631160579279 ~1992
580301391160602799 ~1992
580316631160633279 ~1992
580325031160650079 ~1992
580330911160661839 ~1992
580348911160697839 ~1992
580349394642795139 ~1993
580359591160719199 ~1992
58037227104467008710 ~1994
58038797174116391110 ~1995
580432911160865839 ~1992
Exponent Prime Factor Digits Year
580440111160880239 ~1992
580444039287104499 ~1994
580448391160896799 ~1992
580454533482727199 ~1993
580455111160910239 ~1992
58046059104482906310 ~1994
580464591160929199 ~1992
580473231160946479 ~1992
580476111160952239 ~1992
580479711160959439 ~1992
580491773482950639 ~1993
580494231160988479 ~1992
580494711160989439 ~1992
580498373482990239 ~1993
580510791161021599 ~1992
58051453127713196710 ~1994
580527831161055679 ~1992
580541511161083039 ~1992
580558431161116879 ~1992
580560831161121679 ~1992
580565031161130079 ~1992
580572111161144239 ~1992
580573191161146399 ~1992
580591191161182399 ~1992
580596379289541939 ~1994
Exponent Prime Factor Digits Year
580622391161244799 ~1992
580630911161261839 ~1992
580632231161264479 ~1992
580651311161302639 ~1992
580664933483989599 ~1993
580669791161339599 ~1992
580697031161394079 ~1992
580704133484224799 ~1993
580710591161421199 ~1992
580711974645695779 ~1993
580712573484275439 ~1993
580724573484347439 ~1993
580733031161466079 ~1992
580734231161468479 ~1992
580735791161471599 ~1992
580746619291945779 ~1994
580756311161512639 ~1992
580757391161514799 ~1992
580762791161525599 ~1992
580763511161527039 ~1992
580777933484667599 ~1993
580785231161570479 ~1992
580802991161605999 ~1992
580804431161608879 ~1992
580818831161637679 ~1992
2357
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26-05-03