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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
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
4280044438560088879 ~1998
4280250238560500479 ~1998
4280288518560577039 ~1998
4280358238560716479 ~1998
428042557684868091310 ~2001
428045327770481588710 ~2001
428045741256827444710 ~2000
Exponent Prime Factor Digits Year
4280526238561052479 ~1998
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
Exponent Prime Factor Digits Year
428314589342651671310 ~2000
428319917256991950310 ~2000
428323481256994088710 ~2000
428325473256995283910 ~2000
428341079342672863310 ~2000
428347291428347291110 ~2000
4283478238566956479 ~1998
4283531518567063039 ~1998
4283537038567074079 ~1998
428362577257017546310 ~2000
4283678998567357999 ~1998
4283738998567477999 ~1998
428389459428389459110 ~2000
4283958831113829295911 ~2001
4283984998567969999 ~1998
428404243428404243110 ~2000
4284209638568419279 ~1998
4284438718568877439 ~1998
428460247428460247110 ~2000
4284696891371103004911 ~2001
4284758518569517039 ~1998
4284795118569590239 ~1998
4284840118569680239 ~1998
428489497257093698310 ~2000
4284906598569813199 ~1998
Exponent Prime Factor Digits Year
4284936712828058228711 ~2002
4284981118569962239 ~1998
4285001398570002799 ~1998
4285186918570373839 ~1998
4285489318570978639 ~1998
4285538998571077999 ~1998
4285672318571344639 ~1998
4285827238571654479 ~1998
4285839838571679679 ~1998
4286069038572138079 ~1998
4286204998572409999 ~1998
428624741257174844710 ~2000
4286251438572502879 ~1998
4286457718572915439 ~1998
4286677798573355599 ~1998
4286800198573600399 ~1998
428687921342950336910 ~2000
4286902318573804639 ~1998
428700221257220132710 ~2000
4287062333686873603911 ~2002
4287062518574125039 ~1998
4287073798574147599 ~1998
4287186838574373679 ~1998
428722313257233387910 ~2000
4287295318574590639 ~1998
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25-04-13