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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
427133387341706709710 ~2000
4271374798542749599 ~1998
4271402518542805039 ~1998
427140541256284324710 ~2000
4271408038542816079 ~1998
4271411398542822799 ~1998
427159897256295938310 ~2000
4271620198543240399 ~1998
4271705998543411999 ~1998
4271715238543430479 ~1998
4272069598544139199 ~1998
4272082198544164399 ~1998
4272256798544513599 ~1998
4272333118544666239 ~1998
4272348231025363575311 ~2001
4272412918544825839 ~1998
4272574198545148399 ~1998
4272574438545148879 ~1998
4272596638545193279 ~1998
427265581939984278310 ~2001
427270073256362043910 ~2000
4272859318545718639 ~1998
4272932398545864799 ~1998
427294423427294423110 ~2000
4273007112051043412911 ~2002
Exponent Prime Factor Digits Year
427320997256392598310 ~2000
427341877256405126310 ~2000
427351237256410742310 ~2000
4273630438547260879 ~1998
4273649998547299999 ~1998
4273879371025731048911 ~2001
4273940638547881279 ~1998
4274105638548211279 ~1998
4274437438548874879 ~1998
4274460238548920479 ~1998
427456637598439291910 ~2000
427462417256477450310 ~2000
4274738638549477279 ~1998
427504271342003416910 ~2000
4275090838550181679 ~1998
4275166438550332879 ~1998
427527053256516231910 ~2000
4275452038550904079 ~1998
427547969342038375310 ~2000
4275518638551037279 ~1998
4275599398551198799 ~1998
4275624838551249679 ~1998
4275746398551492799 ~1998
4275852718551705439 ~1998
4276078798552157599 ~1998
Exponent Prime Factor Digits Year
4276329838552659679 ~1998
4276380598552761199 ~1998
4276418998552837999 ~1998
4276566238553132479 ~1998
4276592998553185999 ~1998
427689917256613950310 ~2000
427704271684326833710 ~2001
4277081998554163999 ~1998
427726889342181511310 ~2000
4277283771625367832711 ~2002
427744529598842340710 ~2000
427748593256649155910 ~2000
4277609998555219999 ~1998
427762081256657248710 ~2000
4277636038555272079 ~1998
4277879398555758799 ~1998
4277937838555875679 ~1998
42780809320791473319912 ~2004
427809329342247463310 ~2000
4278204838556409679 ~1998
4278291598556583199 ~1998
4278307198556614399 ~1998
4278324598556649199 ~1998
4278443038556886079 ~1998
4278446398556892799 ~1998
Exponent Prime Factor Digits Year
4278476638556953279 ~1998
4278542638557085279 ~1998
427862909342290327310 ~2000
427875293256725175910 ~2000
4278928318557856639 ~1998
4278928798557857599 ~1998
4279162438558324879 ~1998
4279186438558372879 ~1998
4279202038558404079 ~1998
4279237331027016959311 ~2001
4279260474108090051311 ~2003
427933559770280406310 ~2001
4279355038558710079 ~1998
427942441256765464710 ~2000
4279424518558849039 ~1998
4279505272824473478311 ~2002
4279512118559024239 ~1998
4279781398559562799 ~1998
4279791718559583439 ~1998
4279803838559607679 ~1998
4279832398559664799 ~1998
4279879198559758399 ~1998
4279893118559786239 ~1998
4279941118559882239 ~1998
4280016118560032239 ~1998
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25-05-04