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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
17482823349656478 ~1988
17483033125877837710 ~1991
17483093220286971910 ~1992
17483579349671598 ~1988
17483831349676638 ~1988
174840291398722339 ~1989
17484179349683598 ~1988
174848098392708339 ~1991
174848211049089279 ~1989
17485199349703998 ~1988
17485343349706878 ~1988
174854211049125279 ~1989
174860171049161039 ~1989
17486039349720798 ~1988
17486471349729438 ~1988
174866831748668319 ~1989
17487719349754398 ~1988
174878593147814639 ~1990
17488259349765198 ~1988
17488511349770238 ~1988
17488643349772878 ~1988
17488931349778638 ~1988
174906611049439679 ~1989
17490911349818238 ~1988
174910492448746879 ~1990
Exponent Prime Factor Digits Year
17491091349821838 ~1988
17491319349826398 ~1988
17491499349829998 ~1988
17491619349832398 ~1988
17491823349836478 ~1988
174929871399438979 ~1989
174931391749313919 ~1989
174933731049602399 ~1989
17493383349867678 ~1988
17493431349868638 ~1988
17493743349874878 ~1988
174938874548410639 ~1990
174943971049663839 ~1989
174948118397509299 ~1991
17495183349903678 ~1988
17495759349915198 ~1988
174957732799323699 ~1990
17496239349924798 ~1988
17496443349928878 ~1988
17497079349941598 ~1988
17497379349947598 ~1988
17497523349950478 ~1988
17498111349962238 ~1988
17498231349964638 ~1988
174982371399858979 ~1989
Exponent Prime Factor Digits Year
17498531349970638 ~1988
174989171049935039 ~1989
17498951349979038 ~1988
17499071349981438 ~1988
17499539349990798 ~1988
17499719349994398 ~1988
174997871749978719 ~1989
17499899349997998 ~1988
17499983349999678 ~1988
17500139350002798 ~1988
17500391350007838 ~1988
17500823350016478 ~1988
17501591350031838 ~1988
17501843350036878 ~1988
175018794200450979 ~1990
17502403185525471910 ~1992
175027611050165679 ~1989
175033011050198079 ~1989
175046571050279439 ~1989
17504843350096878 ~1988
17504939350098798 ~1988
17505083350101678 ~1988
17505443350108878 ~1988
17505539350110798 ~1988
175057211050343279 ~1989
Exponent Prime Factor Digits Year
17505959350119198 ~1988
175061873151113679 ~1990
17506283350125678 ~1988
17506739350134798 ~1988
17506943350138878 ~1988
175071411400571299 ~1989
175076571050459439 ~1989
17508371350167438 ~1988
17508479350169598 ~1988
175088712801419379 ~1990
175089171050535039 ~1989
17509571350191438 ~1988
17509631350192638 ~1988
17509703350194078 ~1988
17509799350195998 ~1988
17510063350201278 ~1988
17510411350208238 ~1988
175111131050666799 ~1989
175114094202738179 ~1990
17511743350234878 ~1988
17511803350236078 ~1988
175118811050712879 ~1989
17512151350243038 ~1988
17512403350248078 ~1988
175126332802021299 ~1990
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