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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
41735783834715678 ~1990
417372173338977379 ~1992
417386932504321599 ~1992
41740103834802078 ~1990
41740213100176511310 ~1993
41745551834911038 ~1990
41746079834921598 ~1990
41746511834930238 ~1990
41747663834953278 ~1990
417484636679754099 ~1993
41748911834978238 ~1990
41749199834983998 ~1990
41751011175354246310 ~1994
41751191835023838 ~1990
41751551835031038 ~1990
417526572505159439 ~1992
41753639835072798 ~1990
417565932505395599 ~1992
41756731242189039910 ~1994
41757251835145038 ~1991
417579172505475039 ~1992
41759233100222159310 ~1993
41759339835186798 ~1991
41760791835215838 ~1991
417610812505664879 ~1992
Exponent Prime Factor Digits Year
417613612505681679 ~1992
41761451835229038 ~1991
41761679835233598 ~1991
417637793341102339 ~1992
41763983835279678 ~1991
417640572505843439 ~1992
417647877517661679 ~1993
417648597517674639 ~1993
417652313341218499 ~1992
41766743835334878 ~1991
41767403835348078 ~1991
41768159835363198 ~1991
41768183835363678 ~1991
41768231835364638 ~1991
417689412506136479 ~1992
41769131835382638 ~1991
41769443835388878 ~1991
417696012506176079 ~1992
41771651835433038 ~1991
417734693341877539 ~1992
41773859835477198 ~1991
417740213341921699 ~1992
41775731835514638 ~1991
41775971835519438 ~1991
417767812506606879 ~1992
Exponent Prime Factor Digits Year
41777231835544638 ~1991
41780423835608478 ~1991
41781343267400595310 ~1994
41782883835657678 ~1991
41784023835680478 ~1991
41784503835690078 ~1991
41784779835695598 ~1991
417869332507215999 ~1992
41787143835742878 ~1991
41787923835758478 ~1991
417879376686069939 ~1993
41788283835765678 ~1991
417886612507319679 ~1992
41788979835779598 ~1991
41789123835782478 ~1991
41789591835791838 ~1991
417907372507444239 ~1992
41790863835817278 ~1991
41791609100299861710 ~1993
41792279835845598 ~1991
41792819835856398 ~1991
417928332507569999 ~1992
41793431835868638 ~1991
41794523835890478 ~1991
41794859835897198 ~1991
Exponent Prime Factor Digits Year
41796203835924078 ~1991
41796539835930798 ~1991
41796719835934398 ~1991
417975019195450239 ~1993
41797631835952638 ~1991
41797643835952878 ~1991
41797799835955998 ~1991
417990593343924739 ~1992
417991013343928099 ~1992
41802851836057038 ~1991
41803043836060878 ~1991
418034993344279939 ~1992
418035132508210799 ~1992
41804099836081998 ~1991
41804183836083678 ~1991
418053412508320479 ~1992
418059972508359839 ~1992
41806031836120638 ~1991
41806091836121838 ~1991
41806871836137438 ~1991
41807533100338079310 ~1993
41807587142145795910 ~1994
41809679836193598 ~1991
418105975853483599 ~1993
41811023836220478 ~1991
1978
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25-07-08