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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
31083011621660238 ~1989
31083641248669128110 ~1993
31084811621696238 ~1989
31085363621707278 ~1989
31085459621709198 ~1989
31086563621731278 ~1989
31086791621735838 ~1989
310872914973966579 ~1992
31087319621746398 ~1989
310875411865252479 ~1991
31088279621765598 ~1989
31089011621780238 ~1989
31089059621781198 ~1989
31089431621788638 ~1989
31089563621791278 ~1989
31089911621798238 ~1989
31090151621803038 ~1989
31090991621819838 ~1989
31091173441494656710 ~1994
31091843621836878 ~1989
31092443621848878 ~1989
31092563621851278 ~1989
310936811865620879 ~1991
31094099621881998 ~1989
31094951621899038 ~1989
Exponent Prime Factor Digits Year
310956614975305779 ~1992
31095731621914638 ~1989
31095791621915838 ~1989
31095959621919198 ~1989
31096463621929278 ~1989
31097459621949198 ~1989
31097999621959998 ~1989
31098731621974638 ~1989
31099319621986398 ~1989
31099331621986638 ~1989
31099559621991198 ~1989
31099583621991678 ~1989
31099619621992398 ~1989
310997771865986639 ~1991
31100039622000798 ~1989
311002273110022719 ~1991
31100351622007038 ~1989
31100411622008238 ~1989
31101023622020478 ~1989
311011211866067279 ~1991
311016172488129379 ~1991
31101971622039438 ~1989
31103063622061278 ~1989
31105883622117678 ~1989
31106219622124398 ~1989
Exponent Prime Factor Digits Year
311062971866377839 ~1991
31106303622126078 ~1989
311068379332051119 ~1992
31106963622139278 ~1990
31107179622143598 ~1990
311073171866439039 ~1991
31107551622151038 ~1990
311093211866559279 ~1991
31109483622189678 ~1990
311097892488783139 ~1991
311097977466351299 ~1992
31109843622196878 ~1990
31110203622204078 ~1990
311109172488873379 ~1991
31111523622230478 ~1990
311117812488942499 ~1991
31112051622241038 ~1990
31112759622255198 ~1990
31112831622256638 ~1990
31113851622277038 ~1990
31114379622287598 ~1990
31114511622290238 ~1990
31114631622292638 ~1990
31114679622293598 ~1990
31114931622298638 ~1990
Exponent Prime Factor Digits Year
31115291622305838 ~1990
31115471622309438 ~1990
31115783622315678 ~1990
31117283622345678 ~1990
31117343622346878 ~1990
311174171867045039 ~1991
31118663622373278 ~1990
311190371867142239 ~1991
311193011867158079 ~1991
31120031622400638 ~1990
31120079622401598 ~1990
31120091622401838 ~1990
31120751622415038 ~1990
31121063622421278 ~1990
31122023622440478 ~1990
31122719622454398 ~1990
31122863622457278 ~1990
31123019622460398 ~1990
31123139622462798 ~1990
31123283622465678 ~1990
311233612489868899 ~1991
31124039622480798 ~1990
31124123622482478 ~1990
31124843622496878 ~1990
31125203622504078 ~1990
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25-07-08