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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
20805623416112478 ~1988
208060811248364879 ~1989
20806091416121838 ~1988
20807159416143198 ~1988
20807183416143678 ~1988
20807219416144398 ~1988
208075032080750319 ~1990
208075611248453679 ~1989
20807723416154478 ~1988
20808071416161438 ~1988
208091211248547279 ~1989
20809403416188078 ~1988
208099611248597679 ~1989
20809991416199838 ~1988
208103993745871839 ~1990
20810459416209198 ~1988
20810651416213038 ~1988
20810759149837464910 ~1992
20810819416216398 ~1988
20810831416216638 ~1988
20810843416216878 ~1988
20811491416229838 ~1988
20811611416232238 ~1988
20811779416235598 ~1988
208117791664942339
Exponent Prime Factor Digits Year
20811911416238238 ~1988
208123814578723839 ~1991
208123972913735599 ~1990
20812931416258638 ~1988
20812943416258878 ~1988
20813399416267998 ~1988
208134471665075779 ~1990
208140291665122339 ~1990
208140614579093439 ~1991
20814263416285278 ~1988
208143711665149699 ~1990
20814539416290798 ~1988
208145592081455919 ~1990
20814719416294398 ~1988
20814971416299438 ~1988
20815211416304238 ~1988
208155171248931039 ~1989
208158531248951199 ~1989
20815859416317198 ~1988
20815979416319598 ~1988
208160211665281699 ~1990
208160871665286979 ~1990
20816231416324638 ~1988
208162814579581839 ~1991
20816303416326078 ~1988
Exponent Prime Factor Digits Year
208164371248986239 ~1989
208167591665340739 ~1990
20816819416336398 ~1988
208172211249033279 ~1989
208174811249048879 ~1989
20817623416352478 ~1988
20817971416359438 ~1988
20818211416364238 ~1988
20818223416364478 ~1988
208182611249095679 ~1989
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
Exponent Prime Factor Digits Year
20823311416466238 ~1988
20823431416468638 ~1988
20823683416473678 ~1988
208238331249429999 ~1989
20823839416476798 ~1988
20824669312370035110 ~1993
20824799416495998 ~1988
20825699416513998 ~1988
20825771416515438 ~1988
208258011249548079 ~1989
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
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25-06-08