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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
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
4276201318552402639 ~1998
4276329838552659679 ~1998
4276380598552761199 ~1998
4276418998552837999 ~1998
4276566238553132479 ~1998
4276592998553185999 ~1998
427689917256613950310 ~2000
427704271684326833710 ~2001
4277081998554163999 ~1998
427726889342181511310 ~2000
Exponent Prime Factor Digits Year
4277283771625367832711 ~2002
427744529598842340710 ~2000
427748593256649155910 ~2000
4277609998555219999 ~1998
427762081256657248710 ~2000
4277636038555272079 ~1998
4277879398555758799 ~1998
4277937838555875679 ~1998
42780809320791473319912 ~2004
427809329342247463310 ~2000
427811801342249440910 ~2000
4278204838556409679 ~1998
4278291598556583199 ~1998
4278307198556614399 ~1998
4278324598556649199 ~1998
4278443038556886079 ~1998
4278446398556892799 ~1998
4278476638556953279 ~1998
4278542638557085279 ~1998
427862909342290327310 ~2000
427875293256725175910 ~2000
4278928318557856639 ~1998
4278928798557857599 ~1998
4279162438558324879 ~1998
4279186438558372879 ~1998
Exponent Prime Factor Digits Year
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
4280044438560088879 ~1998
4280250238560500479 ~1998
4280288518560577039 ~1998
4280358238560716479 ~1998
428042557684868091310 ~2001
428045327770481588710 ~2001
428045741256827444710 ~2000
4280526238561052479 ~1998
Exponent Prime Factor Digits Year
4280557918561115839 ~1998
4280584011284175203111 ~2001
428063219342450575310 ~2000
4280666038561332079 ~1998
4280670118561340239 ~1998
4280737318561474639 ~1998
428075477256845286310 ~2000
4280974571284292371111 ~2001
4281054238562108479 ~1998
4281306118562612239 ~1998
4281408598562817199 ~1998
4281545398563090799 ~1998
4281559438563118879 ~1998
4281605998563211999 ~1998
4281748814110478857711 ~2003
4282060438564120879 ~1998
4282137718564275439 ~1998
4282240318564480639 ~1998
4282274638564549279 ~1998
428237737256942642310 ~2000
428267597342614077710 ~2000
4283047438566094879 ~1998
4283096998566193999 ~1998
428312933256987759910 ~2000
428314589342651671310 ~2000
3194
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25-07-08