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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
45846719916934398 ~1991
45846863916937278 ~1991
45847559916951198 ~1991
458485817335772979 ~1993
45849539916990798 ~1991
45850559917011198 ~1991
458516332751097999 ~1992
45851783917035678 ~1991
45852113247601410310 ~1994
45852743917054878 ~1991
45853637220097457710 ~1994
45854411917088238 ~1991
458550593668404739 ~1992
45856763917135278 ~1991
45857159917143198 ~1991
45858311917166238 ~1991
45860351917207038 ~1991
45861311917226238 ~1991
45861479917229598 ~1991
45861743917234878 ~1991
45862139917242798 ~1991
458636412751818479 ~1992
458656372751938239 ~1992
45866543917330878 ~1991
45866699917333998 ~1991
Exponent Prime Factor Digits Year
45866963917339278 ~1991
458672474586724719 ~1993
458676773669414179 ~1992
458693093669544739 ~1992
45870983917419678 ~1991
45871571917431438 ~1991
458720172752321039 ~1992
458740012752440079 ~1992
45874463917489278 ~1991
458763794587637919 ~1993
45880223917604478 ~1991
458806913670455299 ~1992
45882229100940903910 ~1993
458827913670623299 ~1992
45883511917670238 ~1991
45883583917671678 ~1991
45884099917681998 ~1991
45884159917683198 ~1991
458843393670747139 ~1992
458843412753060479 ~1992
458856593670852739 ~1992
45886103917722078 ~1991
45886283917725678 ~1991
45886343917726878 ~1991
458871674588716719 ~1993
Exponent Prime Factor Digits Year
458917376424843199 ~1993
45894839917896798 ~1991
45894859293727097710 ~1995
45896579917931598 ~1991
458978273671826179 ~1992
45897959917959198 ~1991
45898103917962078 ~1991
45898511917970238 ~1991
45898571917971438 ~1991
459003532754021199 ~1992
45900653257043656910 ~1994
45900983918019678 ~1991
459032513672260099 ~1992
45903479918069598 ~1991
45903719918074398 ~1991
45903761146892035310 ~1994
45904763918095278 ~1991
45905603918112078 ~1991
459060732754364399 ~1992
45906431918128638 ~1991
459068114590681119 ~1993
45907019918140398 ~1991
459073132754438799 ~1992
45908777247907395910 ~1994
459088994590889919 ~1993
Exponent Prime Factor Digits Year
45909943156093806310 ~1994
45910043918200878 ~1991
45910619918212398 ~1991
45911471918229438 ~1991
45912323918246478 ~1991
45912551918251038 ~1991
45912791918255838 ~1991
45913919918278398 ~1991
45916319918326398 ~1991
459176213673409699 ~1992
45917783918355678 ~1991
45918463156122774310 ~1994
45921383918427678 ~1991
45921563918431278 ~1991
45921907110212576910 ~1993
459233573673868579 ~1992
459262972755577839 ~1992
459277976429891599 ~1993
459305576430277999 ~1993
459314212755885279 ~1992
459314993674519939 ~1992
45931631918632638 ~1991
45931703918634078 ~1991
45932039918640798 ~1991
459333132755998799 ~1992
2018
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25-06-08