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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
285328934565262899 ~1991
285330611711983679 ~1990
285334331712005999 ~1990
28533959570679198 ~1989
28534091570681838 ~1989
28534679570693598 ~1989
28534799570695998 ~1989
28534871570697438 ~1989
28535051570701038 ~1989
285352931712117599 ~1990
285353931712123599 ~1990
28535711570714238 ~1989
285361131712166799 ~1990
28536671570733438 ~1989
28537163570743278 ~1989
28537199570743998 ~1989
28537571570751438 ~1989
28538183570763678 ~1989
28538483570769678 ~1989
28539383570787678 ~1989
28540091570801838 ~1989
28540643570812878 ~1989
28540751570815038 ~1989
28540931570818638 ~1989
285412211712473279 ~1990
Exponent Prime Factor Digits Year
28541603570832078 ~1989
28541939570838798 ~1989
28542179570843598 ~1989
28542263570845278 ~1989
28542323570846478 ~1989
28542851570857038 ~1989
28542851159839965710
28543043570860878 ~1989
28543439570868798 ~1989
28544123570882478 ~1989
28544471570889438 ~1989
28544843570896878 ~1989
28544891570897838 ~1989
28545119570902398 ~1989
28545563570911278 ~1989
28545791570915838 ~1989
285466131712796799 ~1990
285474292283794339 ~1991
28547903570958078 ~1989
28548059570961198 ~1989
285481395138665039 ~1992
28548479570969598 ~1989
28549259570985198 ~1989
285496372283970979 ~1991
28550243571004878 ~1989
Exponent Prime Factor Digits Year
28550339571006798 ~1989
28550699571013998 ~1989
28551839571036798 ~1989
28552091571041838 ~1989
28552151571043038 ~1989
285522912855229119 ~1991
285523698565710719 ~1992
28553639571072798 ~1989
28553663571073278 ~1989
28554479571089598 ~1989
28554563571091278 ~1989
28555883571117678 ~1989
28556483571129678 ~1989
28556603571132078 ~1989
28556831571136638 ~1989
28557359571147198 ~1989
28557383571147678 ~1989
285574931713449599 ~1990
28557983571159678 ~1989
28559183571183678 ~1989
28559231571184638 ~1989
28559521137085700910 ~1993
28559579571191598 ~1989
285599771713598639 ~1990
28560179571203598 ~1989
Exponent Prime Factor Digits Year
285601992856019919 ~1991
285608171713649039 ~1990
28561451571229038 ~1989
285621432856214319 ~1991
28562459571249198 ~1989
285631131713786799 ~1990
285632872285062979 ~1991
285637211713823279 ~1990
28564031571280638 ~1989
28564103571282078 ~1989
28564271571285438 ~1989
28564379571287598 ~1989
285648192856481919 ~1991
28566119571322398 ~1989
28566371571327438 ~1989
28566803571336078 ~1989
28567043571340878 ~1989
28567691571353838 ~1989
285681011714086079 ~1990
28568399571367998 ~1989
28568471571369438 ~1989
285698472856984719 ~1991
28569923571398478 ~1989
28570211571404238 ~1989
285703792285630339 ~1991
1705
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25-07-08