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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
610555223122111044710 ~2000
610556651122111330310 ~2000
610570619122114123910 ~2000
610583999122116799910 ~2000
610586843122117368710 ~2000
610597817366358690310 ~2001
610647097366388258310 ~2001
610651631122130326310 ~2000
610669931122133986310 ~2000
610670843122134168710 ~2000
610673159122134631910 ~2000
610686599122137319910 ~2000
610710671122142134310 ~2000
610711163122142232710 ~2000
610712243122142448710 ~2000
610720079122144015910 ~2000
610722023122144404710 ~2000
610727783122145556710 ~2000
610727951122145590310 ~2000
610734539122146907910 ~2000
610748557366449134310 ~2001
610750697488600557710 ~2001
610785431122157086310 ~2000
610786199122157239910 ~2000
610793483122158696710 ~2000
Exponent Prime Factor Digits Year
610806941488645552910 ~2001
610822139122164427910 ~2000
610829743610829743110 ~2001
610832003122166400710 ~2000
610854011122170802310 ~2000
610856063122171212710 ~2000
610858499122171699910 ~2000
610867871122173574310 ~2000
6108748931832624679111 ~2002
610901891122180378310 ~2000
610927931122185586310 ~2000
610933931122186786310 ~2000
610964201488771360910 ~2001
610978913366587347910 ~2001
610979783122195956710 ~2000
6110278191466466765711 ~2002
611067563122213512710 ~2000
611069579122213915910 ~2000
611075099488860079310 ~2001
611080949488864759310 ~2001
611152319122230463910 ~2000
611154521488923616910 ~2001
611170523122234104710 ~2000
611174519122234903910 ~2000
6111905333300428878311 ~2003
Exponent Prime Factor Digits Year
611196203122239240710 ~2000
611204579122240915910 ~2000
611220191122244038310 ~2000
611222653977956244910 ~2002
611235563122247112710 ~2000
611244659122248931910 ~2000
611262959122252591910 ~2000
611269679122253935910 ~2000
611270771122254154310 ~2000
611273413366764047910 ~2001
611276579122255315910 ~2000
611296979122259395910 ~2000
611306231122261246310 ~2000
611316059122263211910 ~2000
611323319122264663910 ~2000
611334791122266958310 ~2000
611336591122267318310 ~2000
611358263122271652710 ~2000
611387951122277590310 ~2000
611395079122279015910 ~2000
611418551122283710310 ~2000
611419703122283940710 ~2000
6114199612323395851911 ~2003
611424419122284883910 ~2000
611430779122286155910 ~2000
Exponent Prime Factor Digits Year
611432831122286566310 ~2000
611461183978337892910 ~2002
611473151122294630310 ~2000
611483813366890287910 ~2001
611497499122299499910 ~2000
611501993366901195910 ~2001
611508431122301686310 ~2000
611510701366906420710 ~2001
611517143122303428710 ~2000
611528759122305751910 ~2000
611539783611539783110 ~2001
611540003122308000710 ~2000
611549111122309822310 ~2000
611596031122319206310 ~2000
611610599122322119910 ~2000
611630543122326108710 ~2000
611640437366984262310 ~2001
611646419122329283910 ~2000
611675423122335084710 ~2000
611677397489341917710 ~2001
611708651122341730310 ~2000
611720183122344036710 ~2000
611737081367042248710 ~2001
611742779122348555910 ~2000
611749679122349935910 ~2000
3353
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25-07-08