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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
42733811854676238 ~1991
427339132564034799 ~1992
42734171854683438 ~1991
42734663854693278 ~1991
42735083854701678 ~1991
42735419854708398 ~1991
427362172564173039 ~1992
42736751854735038 ~1991
427369375983171199 ~1993
427388772564332639 ~1992
42739043854780878 ~1991
42742439854848798 ~1991
42744599854891998 ~1991
42744899854897998 ~1991
427449732564698399 ~1992
427455532564733199 ~1992
42746111854922238 ~1991
42746519854930398 ~1991
427473074274730719 ~1992
42749711854994238 ~1991
42749831854996638 ~1991
42750511171002044110 ~1994
42750863855017278 ~1991
42751979855039598 ~1991
42752051855041038 ~1991
Exponent Prime Factor Digits Year
42752903855058078 ~1991
427535172565211039 ~1992
42754403855088078 ~1991
42755807342046456110 ~1995
427565836841053299 ~1993
427573613420588899 ~1992
427575772565454639 ~1992
42759191855183838 ~1991
42759779855195598 ~1991
42761363855227278 ~1991
42761591855231838 ~1991
427623713420989699 ~1992
42763859855277198 ~1991
42764651855293038 ~1991
42765491855309838 ~1991
42767723855354478 ~1991
42767759855355198 ~1991
42768443855368878 ~1991
427688332566129999 ~1992
42769511855390238 ~1991
427707011154808927111 ~1996
42770879855417598 ~1991
42772319855446398 ~1991
427727393421819139 ~1992
42774419855488398 ~1991
Exponent Prime Factor Digits Year
42775643855512878 ~1991
42776749102664197710 ~1993
42777503855550078 ~1991
42778691855573838 ~1991
427797412566784479 ~1992
42780971855619438 ~1991
42781031855620638 ~1991
42781451855629038 ~1991
42781523855630478 ~1991
42781619855632398 ~1991
42781631855632638 ~1991
42781859855637198 ~1991
42783311855666238 ~1991
427848372567090239 ~1992
427850212567101279 ~1992
42787763855755278 ~1991
427890794278907919 ~1992
427926132567556799 ~1992
427935372567612239 ~1992
427936613423492899 ~1992
427939732567638399 ~1992
427966732567800399 ~1992
42796993128390979110 ~1993
42797459855949198 ~1991
42797999855959998 ~1991
Exponent Prime Factor Digits Year
42798323855966478 ~1991
42799811855996238 ~1991
42800819856016398 ~1991
42801131856022638 ~1991
428013132568078799 ~1992
42801611856032238 ~1991
428018212568109279 ~1992
42802703856054078 ~1991
42804383856087678 ~1991
428057597705036639 ~1993
42805811856116238 ~1991
42805883856117678 ~1991
42805979856119598 ~1991
42806651856133038 ~1991
428071972568431839 ~1992
428073972568443839 ~1992
42807659856153198 ~1991
42809183179798568710 ~1994
42809471856189438 ~1991
428099594280995919 ~1992
42810143856202878 ~1991
42811451856229038 ~1991
428116732568700399 ~1992
42811739856234798 ~1991
42812659179813167910 ~1994
1957
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25-05-04