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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
21565751431315038 ~1988
21566351431327038 ~1988
215663811725310499 ~1990
21566423431328478 ~1988
215665435607301199 ~1991
215670113882061999 ~1991
215671571294029439 ~1989
21567191431343838 ~1988
21567323431346478 ~1988
21567743431354878 ~1988
21568331431366638 ~1988
215684931294109599 ~1989
21568751431375038 ~1988
21568763431375278 ~1988
21569771431395438 ~1988
21569903431398078 ~1988
21570383431407678 ~1988
21570431431408638 ~1988
215705598628223619 ~1991
21570623431412478 ~1988
21570863431417278 ~1988
21572231431444638 ~1988
21572279431445598 ~1988
21572891431457838 ~1988
21573203431464078 ~1988
Exponent Prime Factor Digits Year
215736531294419199 ~1989
21573791431475838 ~1988
21573971431479438 ~1988
21573983431479678 ~1988
21574211431484238 ~1988
215744171294465039 ~1989
21574499431489998 ~1988
215746131294476799 ~1989
21574859431497198 ~1988
21574991431499838 ~1988
21575591431511838 ~1988
21576251431525038 ~1988
21576539431530798 ~1988
215767814746891839 ~1991
21576851431537038 ~1988
215769531294617199 ~1989
215771171294627039 ~1989
21577859431557198 ~1988
21578783431575678 ~1988
21579479431589598 ~1988
21579671431593438 ~1988
215796711726373699
21579731431594638 ~1988
215800371726402979 ~1990
21580283431605678 ~1988
Exponent Prime Factor Digits Year
215810295179446979 ~1991
21581603431632078 ~1988
215817411294904479 ~1989
21581951431639038 ~1988
21582131431642638 ~1988
21582551431651038 ~1988
21582779431655598 ~1988
215828331294969999 ~1989
21583379431667598 ~1988
21583643431672878 ~1988
21583811431676238 ~1988
21583883431677678 ~1988
215845931295075599 ~1989
21584723431694478 ~1988
21584999431699998 ~1988
21585611431712238 ~1988
21585743431714878 ~1988
21586079431721598 ~1988
21587183431743678 ~1988
21587963431759278 ~1988
21588023431760478 ~1988
215883771295302639 ~1989
21588551431771038 ~1988
215891533454264499 ~1990
215894871727158979 ~1990
Exponent Prime Factor Digits Year
21590039431800798 ~1988
21590183431803678 ~1988
21590339431806798 ~1988
21590879431817598 ~1988
21591539431830798 ~1988
21591761185689144710 ~1992
21591959431839198 ~1988
21592163431843278 ~1988
21592463431849278 ~1988
21592943431858878 ~1988
215938334750643279 ~1991
21593879431877598 ~1988
215940716910102739 ~1991
215941371295648239 ~1989
21594179431883598 ~1988
21594311431886238 ~1988
215944491727555939 ~1990
21594731431894638 ~1988
21594983431899678 ~1988
21595103431902078 ~1988
215951639069968479 ~1991
21595439431908798 ~1988
215957411295744479 ~1989
21595859431917198 ~1988
21596219431924398 ~1988
1466
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25-04-13