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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
310261611861569679 ~1991
310268694343761679 ~1992
31027343620546878 ~1989
31028531620570638 ~1989
31028603620572078 ~1989
31028951620579038 ~1989
310291816826419839 ~1992
310292092482336739 ~1991
31029431620588638 ~1989
31029731620594638 ~1989
310317297447614979 ~1992
31032563620651278 ~1989
31032779620655598 ~1989
31033391620667838 ~1989
31033643620672878 ~1989
31034051620681038 ~1989
31034183620683678 ~1989
31034603620692078 ~1989
31034917217244419110 ~1993
31034963620699278 ~1989
31035083620701678 ~1989
31035923620718478 ~1989
31036079620721598 ~1989
31036199620723998 ~1989
31036331620726638 ~1989
Exponent Prime Factor Digits Year
310367113103671119 ~1991
310368292482946339 ~1991
31037159620743198 ~1989
31037183620743678 ~1989
31037399620747998 ~1989
31037663620753278 ~1989
31037999620759998 ~1989
310390331862341999 ~1991
31040231620804638 ~1989
310408192483265539 ~1991
31041071620821438 ~1989
31041203620824078 ~1989
310412872483302979 ~1991
31041539620830798 ~1989
31042103620842078 ~1989
31042163620843278 ~1989
310425731862554399 ~1991
31042631620852638 ~1989
310429371862576239 ~1991
31043339620866798 ~1989
31043459620869198 ~1989
310444011862664079 ~1991
31044743620894878 ~1989
31044899620897998 ~1989
31044971620899438 ~1989
Exponent Prime Factor Digits Year
31045643620912878 ~1989
310458771862752639 ~1991
31046759620935198 ~1989
31047143620942878 ~1989
31047743620954878 ~1989
310478515588613199 ~1992
31048211620964238 ~1989
310483731862902399 ~1991
31049159620983198 ~1989
31049339620986798 ~1989
31049411620988238 ~1989
31049699620993998 ~1989
310501134347015839 ~1992
31050191621003838 ~1989
31050203621004078 ~1989
31051151621023038 ~1989
31051703621034078 ~1989
31051763621035278 ~1989
31052039621040798 ~1989
31052291621045838 ~1989
31052303621046078 ~1989
31052639621052798 ~1989
31053383621067678 ~1989
31053443621068878 ~1989
31053623621072478 ~1989
Exponent Prime Factor Digits Year
310538811863232879 ~1991
310539774347556799 ~1992
31054043621080878 ~1989
31054091621081838 ~1989
310546131863276799 ~1991
31054739621094798 ~1989
31054871621097438 ~1989
31055891621117838 ~1989
310562395590123039 ~1992
310572531863435199 ~1991
31057391621147838 ~1989
31057703621154078 ~1989
31057931621158638 ~1989
31058519621170398 ~1989
310587611863525679 ~1991
31059023621180478 ~1989
31059071621181438 ~1989
31059191621183838 ~1989
31059299621185998 ~1989
310594497454267779 ~1992
310598931863593599 ~1991
310611131863666799 ~1991
31061183621223678 ~1989
31061423621228478 ~1989
31062623621252478 ~1989
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25-04-13