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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
2046306191409261238310 ~2004
2046339959409267991910 ~2004
2046369371409273874310 ~2004
20464510611637160848911 ~2005
2046461999409292399910 ~2004
2046497471409299494310 ~2004
2046507899409301579910 ~2004
2046520331409304066310 ~2004
2046594779409318955910 ~2004
2046638459409327691910 ~2004
20466525771227991546311 ~2005
2046698039409339607910 ~2004
2046792971409358594310 ~2004
2046914591409382918310 ~2004
20469700338187880132111 ~2007
2047000883409400176710 ~2004
2047006931409401386310 ~2004
2047021043409404208710 ~2004
20470244531228214671911 ~2005
2047075631409415126310 ~2004
2047101071409420214310 ~2004
204712378932753980624112 ~2008
2047139051409427810310 ~2004
2047158083409431616710 ~2004
2047197263409439452710 ~2004
Exponent Prime Factor Digits Year
2047219019409443803910 ~2004
20472731816551274179311 ~2007
20473947072047394707111 ~2005
2047528823409505764710 ~2004
20475696131228541767911 ~2005
20477678472047767847111 ~2005
2047794071409558814310 ~2004
2047836863409567372710 ~2004
20478698931228721935911 ~2005
2047937483409587496710 ~2004
2047965971409593194310 ~2004
2047999883409599976710 ~2004
20480255571228815334311 ~2005
20480420275324909270311 ~2006
20481269811228876188711 ~2005
20481279799831014299311 ~2007
2048187671409637534310 ~2004
2048262299409652459910 ~2004
2048384963409676992710 ~2004
2048419211409683842310 ~2004
2048516231409703246310 ~2004
20485269838603813328711 ~2007
2048585879409717175910 ~2004
2048610131409722026310 ~2004
20486911934916858863311 ~2006
Exponent Prime Factor Digits Year
2048766311409753262310 ~2004
20487860211639028816911 ~2005
2048793863409758772710 ~2004
2048807459409761491910 ~2004
20488106113278096977711 ~2006
2048904983409780996710 ~2004
20489222571229353354311 ~2005
2048950103409790020710 ~2004
20489576274917498304911 ~2006
2048994179409798835910 ~2004
2049013331409802666310 ~2004
20490232611229413956711 ~2005
2049075551409815110310 ~2004
2049080399409816079910 ~2004
2049091139409818227910 ~2004
20491250511639300040911 ~2005
2049143471409828694310 ~2004
2049298943409859788710 ~2004
20493019571229581174311 ~2005
2049381959409876391910 ~2004
2049391559409878311910 ~2004
2049452063409890412710 ~2004
2049498791409899758310 ~2004
2049529679409905935910 ~2004
2049564911409912982310 ~2004
Exponent Prime Factor Digits Year
20497082811229824968711 ~2005
20497752433279640388911 ~2006
2049794723409958944710 ~2004
2049843083409968616710 ~2004
20499293534919830447311 ~2006
2049938339409987667910 ~2004
2049968243409993648710 ~2004
2050033691410006738310 ~2004
20500461971230027718311 ~2005
2050057043410011408710 ~2004
2050158983410031796710 ~2004
2050249499410049899910 ~2004
2050398263410079652710 ~2004
2050403423410080684710 ~2004
2050447499410089499910 ~2004
20504480538201792212111 ~2007
20504827434921158583311 ~2006
2050499771410099954310 ~2004
2050558943410111788710 ~2004
2050651331410130266310 ~2004
20506977171230418630311 ~2005
20508156193691468114311 ~2006
20508707931230522475911 ~2005
2051017883410203576710 ~2004
2051029811410205962310 ~2004
3850
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25-07-08