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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.
Exp. Prime Factor Digits Year
8874269709941538 ~1987
88743011952346239 ~1988
88747918519799379 ~1989
8874863177497278 ~1985
8874913532494798 ~1986
8874977532498638 ~1986
8875211177504238 ~1985
88752532840080979 ~1988
8875277532516638 ~1986
8876051177521038 ~1985
88762971242681599 ~1987
8876531177530638 ~1985
88766539054186079 ~1989
8876663177533278 ~1985
8876831177536638 ~1985
8877061532623678 ~1986
88770616213942719
8877419177548398 ~1985
8877623177552478 ~1985
88778512308241279 ~1988
8877899177557998 ~1985
8877923177558478 ~1985
8878601532716078 ~1986
8878921532735278 ~1986
88789491243052879 ~1987
Exp. Prime Factor Digits Year
8878973532738398 ~1986
8878979177579598 ~1985
8879153532749198 ~1986
88791791598252239 ~1988
8879243177584878 ~1985
8879393532763598 ~1986
8879401532764078 ~1986
8879999177599998 ~1985
8880023177600478 ~1985
88801875150508479 ~1989
8880491177609838 ~1985
8880551177611038 ~1985
8880577532834638 ~1986
8880671177613438 ~1985
8880719177614398 ~1985
8881513532890798 ~1986
8881751177635038 ~1985
8881787710542978 ~1987
8881991177639838 ~1985
8882047888204718 ~1987
8882437532946238 ~1986
8882579177651598 ~1985
8882999177659998 ~1985
8883131177662638 ~1985
8883779177675598 ~1985
Exp. Prime Factor Digits Year
8883821533029278 ~1986
8883971177679438 ~1985
8883977533038638 ~1986
8884067710725378 ~1987
8884091177681838 ~1985
8884163177683278 ~1985
88843496396731299 ~1989
8884511177690238 ~1985
88848591599274639 ~1988
8885039177700798 ~1985
8885113533106798 ~1986
8885117533107038 ~1986
8885117710809378
88851711599330799 ~1988
8885641533138478 ~1986
8885699177713998 ~1985
8885771177715438 ~1985
8885777710862178 ~1987
8885837533150238 ~1986
8886173533170398 ~1986
8886239177724798 ~1985
8886551177731038 ~1985
8886617533197038 ~1986
8886701533202078 ~1986
8887271177745438 ~1985
Exp. Prime Factor Digits Year
88874232132981539 ~1988
8887547711003778 ~1987
8887553533253198 ~1986
8887691711015298 ~1987
8887721533263278 ~1986
8887871177757438 ~1985
8887919177758398 ~1985
88880392133129379 ~1988
88884619955076339 ~1990
8888531177770638 ~1985
8888651177773038 ~1985
88894271600096879 ~1988
8889659177793198 ~1985
8889719177794398 ~1985
8889757533385438 ~1986
88898214978299779 ~1989
8889851177797038 ~1985
8890073533404398 ~1986
8890243889024318 ~1987
8890457533427438 ~1986
8890513533430798 ~1986
8890621533437278 ~1986
8890709711256738 ~1987
8891171177823438 ~1985
8891237533474238 ~1986
969
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25-09-07