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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 Dig. Year
51023069991020461399911 ~2007
51023416911020468338311 ~2007
51026529831020530596711 ~2007
51029263311020585266311 ~2007
51029334711020586694311 ~2007
510293359715308800791112 ~2010
51033549831020670996711 ~2007
51035035191020700703911 ~2007
51036754311020735086311 ~2007
51036827631020736552711 ~2007
51037061031020741220711 ~2007
51037164591020743291911 ~2007
51038089813062285388711 ~2008
51039639111020792782311 ~2007
51039863391020797267911 ~2007
51040689733062441383911 ~2008
51042455991020849119911 ~2007
51043678431020873568711 ~2007
51044845191020896903911 ~2007
51044965911020899318311 ~2007
51046939879188449176711 ~2009
51048693831020973876711 ~2007
51050946711021018934311 ~2007
51052962915105296291111 ~2009
51053004079189540732711 ~2009
Exponent Prime Factor Dig. Year
51053685111021073702311 ~2007
51053983791021079675911 ~2007
51054084111021081682311 ~2007
51055484391021109687911 ~2007
51055554315105555431111 ~2009
51056363511021127270311 ~2007
51058400391021168007911 ~2007
51060542631021210852711 ~2007
51060613791021212275911 ~2007
51061292631021225852711 ~2007
51061787391021235747911 ~2007
51062456031021249120711 ~2007
51063152991021263059911 ~2007
510633508321446607348712 ~2010
51068216475106821647111 ~2009
51068437518170950001711 ~2009
51073011591021460231911 ~2007
51074742591021494851911 ~2007
51075343573064520614311 ~2008
51075824391021516487911 ~2007
51077120031021542400711 ~2007
51078967791021579355911 ~2007
51079631031021592620711 ~2007
51080413431021608268711 ~2007
510817526316346160841712 ~2010
Exponent Prime Factor Dig. Year
51083582631021671652711 ~2007
51083702511021674050311 ~2007
510846835320433873412112 ~2010
51084780711021695614311 ~2007
51086478711021729574311 ~2007
51086522031021730440711 ~2007
51087241911021744838311 ~2007
51088040333065282419911 ~2008
510895127912261483069712 ~2009
51089716911021794338311 ~2007
51091232511021824650311 ~2007
51092052591021841051911 ~2007
51092287213065537232711 ~2008
51092652231021853044711 ~2007
51094302133065658127911 ~2008
51095467911021909358311 ~2007
51097001631021940032711 ~2007
51097230231021944604711 ~2007
51099103431021982068711 ~2007
51099161274087932901711 ~2008
51099577191021991543911 ~2007
51100236831022004736711 ~2007
51100749231022014984711 ~2007
51101052111022021042311 ~2007
51101181711022023634311 ~2007
Exponent Prime Factor Dig. Year
51101342173066080530311 ~2008
51103193391022063867911 ~2007
51104319231022086384711 ~2007
51105997791022119955911 ~2007
51106456791022129135911 ~2007
51107477511022149550311 ~2007
51108829194088706335311 ~2008
51110430711022208614311 ~2007
51113403373066804202311 ~2008
51114763791022295275911 ~2007
51115805573066948334311 ~2008
51115903977156226555911 ~2009
51119266791022385335911 ~2007
511198648712268767568912 ~2009
51120036613067202196711 ~2008
51120588111022411762311 ~2007
51122372391022447447911 ~2007
51124370511022487410311 ~2007
51126154519202707811911 ~2009
51127092675112709267111 ~2009
51127955631022559112711 ~2007
51128077431022561548711 ~2007
51128695791022573915911 ~2007
51128715733067722943911 ~2008
51128721831022574436711 ~2007
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26-05-03