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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
47771123955422478 ~1991
47771749114652197710 ~1994
47772443955448878 ~1991
477754012866524079 ~1992
47777783955555678 ~1991
47778011955560238 ~1991
47779811955596238 ~1991
47780891955617838 ~1991
47782379955647598 ~1991
47783003955660078 ~1991
477834593822676739 ~1992
477837598601076639 ~1993
47785499955709998 ~1991
47785583955711678 ~1991
47785799955715998 ~1991
47788451955769038 ~1991
477895514778955119 ~1993
47790551955811038 ~1991
47790551315417636710
47792099955841998 ~1991
477926212867557279 ~1992
47792711955854238 ~1991
47793731955874638 ~1991
47793983955879678 ~1991
477947573823580579 ~1992
Exponent Prime Factor Digits Year
477950172867701039 ~1992
477963194779631919 ~1993
47797199955943998 ~1991
47799239955984798 ~1991
47799599955991998 ~1991
47799863955997278 ~1991
47800871956017438 ~1991
47801051956021038 ~1991
47802311956046238 ~1991
47802743956054878 ~1991
47803033879575807310 ~1996
47803883956077678 ~1991
47806763956135278 ~1991
47807891956157838 ~1991
47808011956160238 ~1991
47809319956186398 ~1991
47809631956192638 ~1991
47811971956239438 ~1991
478123332868739999 ~1992
47812403956248078 ~1991
47812631956252638 ~1991
47812643956252878 ~1991
478133993825071939 ~1992
478142532868855199 ~1992
478145412868872479 ~1992
Exponent Prime Factor Digits Year
47815991956319838 ~1991
478161176694256399 ~1993
47817083956341678 ~1991
47819279956385598 ~1991
478200612869203679 ~1992
47820683956413678 ~1991
47820911956418238 ~1991
47821199956423998 ~1991
47822039956440798 ~1991
47823383956467678 ~1991
47823563956471278 ~1991
47823851956477038 ~1991
478243037651888499 ~1993
478264373826114979 ~1992
47826851956537038 ~1991
478272773826182179 ~1992
478282394782823919 ~1993
478296293826370339 ~1992
47831473114795535310 ~1994
478316532869899199 ~1992
47833463956669278 ~1991
478347296696862079 ~1993
47835323956706478 ~1991
47835731956714638 ~1991
47835899956717998 ~1991
Exponent Prime Factor Digits Year
47836517114807640910 ~1994
47837147382697176110 ~1995
47837483956749678 ~1991
47837831956756638 ~1991
47837843956756878 ~1991
478385772870314639 ~1992
478412172870473039 ~1992
47841611956832238 ~1991
47841769105251891910 ~1994
47842127114821104910 ~1994
47845079956901598 ~1991
47847203956944078 ~1991
47847743956954878 ~1991
47848103956962078 ~1991
47849471956989438 ~1991
478494713827957699
478495612870973679 ~1992
47850431957008638 ~1991
478517172871103039 ~1992
478534132871204799 ~1992
47853479957069598 ~1991
47854223957084478 ~1991
47854871957097438 ~1991
47855063957101278 ~1991
47855231957104638 ~1991
2058
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25-07-08