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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
208140614579093439 ~1991
20814263416285278 ~1988
208143711665149699 ~1990
20814539416290798 ~1988
208145592081455919 ~1990
20814719416294398 ~1988
20814971416299438 ~1988
20815211416304238 ~1988
208158531248951199 ~1989
20815859416317198 ~1988
20815979416319598 ~1988
208160211665281699 ~1990
208160871665286979 ~1990
20816231416324638 ~1988
208162814579581839 ~1991
20816303416326078 ~1988
208164371248986239 ~1989
20816819416336398 ~1988
208172211249033279 ~1989
208174811249048879 ~1989
20817623416352478 ~1988
20817971416359438 ~1988
20818211416364238 ~1988
20818223416364478 ~1988
208182611249095679 ~1989
Exponent Prime Factor Digits Year
208183731249102399 ~1989
20818379416367598 ~1988
20818403416368078 ~1988
20818571416371438 ~1988
208196391665571139 ~1990
20820203416404078 ~1988
20820311416406238 ~1988
20820491416409838 ~1988
20821403416428078 ~1988
20821439416428798 ~1988
20821499416429998 ~1988
20822183416443678 ~1988
20822579416451598 ~1988
208228732915202239 ~1990
20822999416459998 ~1988
20823311416466238 ~1988
20823431416468638 ~1988
20823683416473678 ~1988
208238331249429999 ~1989
20823839416476798 ~1988
20824669312370035110 ~1993
20824799416495998 ~1988
20825699416513998 ~1988
20825771416515438 ~1988
208258011249548079 ~1989
Exponent Prime Factor Digits Year
20825963416519278 ~1988
208259771249558639 ~1989
20826563416531278 ~1988
20826791416535838 ~1988
20827043416540878 ~1988
208271174998508099 ~1991
208274214498722936111 ~1996
20827571416551438 ~1988
20827679416553598 ~1988
208276931249661599 ~1989
208278971249673839 ~1989
20828651416573038 ~1988
20829023416580478 ~1988
20829251416585038 ~1988
208295413332726579 ~1990
20829983416599678 ~1988
20830343416606878 ~1988
208316211249897279 ~1989
20832671416653438 ~1988
208330934999942339 ~1991
20833511416670238 ~1988
20833679416673598 ~1988
20833691416673838 ~1988
20834063416681278 ~1988
20834111416682238 ~1988
Exponent Prime Factor Digits Year
20834399416687998 ~1988
20834939416698798 ~1988
20835071416701438 ~1988
20835203416704078 ~1988
20835299416705998 ~1988
20835443416708878 ~1988
208365614584043439 ~1991
208367931250207599 ~1989
208370931250225599 ~1989
20837171416743438 ~1988
20837483416749678 ~1988
20837543416750878 ~1988
20838263416765278 ~1988
20838491416769838 ~1988
20839463416789278 ~1988
20839691416793838 ~1988
20840063416801278 ~1988
20840399416807998 ~1988
20840471416809438 ~1988
20840591416811838 ~1988
20841011416820238 ~1988
20842319416846398 ~1988
208423971250543839 ~1989
20842499416849998 ~1988
20842751416855038 ~1988
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