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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
30259403605188078 ~1989
302594179077825119 ~1992
302599972420799779 ~1991
30260063605201278 ~1989
30260591605211838 ~1989
302607611815645679 ~1991
30260953139200383910 ~1993
30261359605227198 ~1989
30261431605228638 ~1989
30261743605234878 ~1989
30261839605236798 ~1989
302626072421008579 ~1991
30262691605253838 ~1989
30262751605255038 ~1989
30263483605269678 ~1989
302638995447501839 ~1992
30264203605284078 ~1989
30264863605297278 ~1989
30265379605307598 ~1989
30265871605317438 ~1989
30266399605327998 ~1989
302674699080240719 ~1992
302675571816053439 ~1991
30267791605355838 ~1989
30267899605357998 ~1989
Exponent Prime Factor Digits Year
30268019605360398 ~1989
302685731816114399 ~1991
30269303605386078 ~1989
30269411605388238 ~1989
30269471605389438 ~1989
302697531816185199 ~1991
302701339081039919 ~1992
30270203605404078 ~1989
30270419605408398 ~1989
30270431605408638 ~1989
302711812421694499 ~1991
302713612421708899 ~1991
30271991605439838 ~1989
30272219605444398 ~1989
30272303605446078 ~1989
30272579605451598 ~1989
30272603605452078 ~1989
30272663605453278 ~1989
30273059605461198 ~1989
30273599605471998 ~1989
30273731605474638 ~1989
30274019605480398 ~1989
30274319605486398 ~1989
302744771816468639 ~1991
30274691605493838 ~1989
Exponent Prime Factor Digits Year
30275471605509438 ~1989
30275603605512078 ~1989
30276359605527198 ~1989
302770211816621279 ~1991
302770611816623679 ~1991
30278399605567998 ~1989
30278663605573278 ~1989
30279251605585038 ~1989
30279311605586238 ~1989
30279323605586478 ~1989
30280223605604478 ~1989
302806971816841839 ~1991
302809971816859839 ~1991
30281123605622478 ~1989
30281579605631598 ~1989
30282299605645998 ~1989
30282971605659438 ~1989
30283031605660638 ~1989
30283271605665438 ~1989
302833131816998799 ~1991
30283391605667838 ~1989
30283679605673598 ~1989
302839072422712579 ~1991
30284099605681998 ~1989
302841315451143599 ~1992
Exponent Prime Factor Digits Year
30284231605684638 ~1989
30284543605690878 ~1989
30284843605696878 ~1989
302858595451454639 ~1992
30286391605727838 ~1989
302863939085917919 ~1992
30286463605729278 ~1989
30287077121148308110 ~1993
30287303605746078 ~1989
30287639605752798 ~1989
302878131817268799 ~1991
30288431605768638 ~1989
30288851605777038 ~1989
30289043605780878 ~1989
30289403605788078 ~1989
30289739605794798 ~1989
302900272423202179 ~1991
30290159605803198 ~1989
30290411605808238 ~1989
30290783605815678 ~1989
30291071605821438 ~1989
30291323605826478 ~1989
30291623605832478 ~1989
30292319605846398 ~1989
30292331605846638 ~1989
1729
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25-04-13