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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
416761417666818267310 ~2001
4167783718335567439 ~1998
416790637250074382310 ~1999
416791633666866612910 ~2001
4168128118336256239 ~1998
4168250638336501279 ~1998
4168374718336749439 ~1998
4168415998336831999 ~1998
4168441438336882879 ~1998
4168540198337080399 ~1998
4168544991000450797711 ~2001
4168698118337396239 ~1998
4168859475002631364111 ~2003
416908477250145086310 ~1999
416909981250145988710 ~1999
4169108038338216079 ~1998
4169264038338528079 ~1998
4169367118338734239 ~1998
4169450998338901999 ~1998
4169503798339007599 ~1998
4169598718339197439 ~1998
4169674438339348879 ~1998
416968987750544176710 ~2001
416981857667170971310 ~2001
4170028198340056399 ~1998
Exponent Prime Factor Digits Year
4170059518340119039 ~1998
4170098638340197279 ~1998
4170102838340205679 ~1998
4170126118340252239 ~1998
4170187798340375599 ~1998
4170340438340680879 ~1998
4170348238340696479 ~1998
417039149333631319310 ~2000
4170413518340827039 ~1998
4170432718340865439 ~1998
4170641398341282799 ~1998
4171131598342263199 ~1998
4171156198342312399 ~1998
4171201318342402639 ~1998
4171340933587353199911 ~2002
4171489438342978879 ~1998
417164719417164719110 ~2000
417186937250312162310 ~1999
417189713250313827910 ~1999
417205577584087807910 ~2000
417209497250325698310 ~1999
417214753250328851910 ~1999
4172242932253011182311 ~2002
4172364838344729679 ~1998
4172444638344889279 ~1998
Exponent Prime Factor Digits Year
417307613584230658310 ~2000
4173107038346214079 ~1998
4173180598346361199 ~1998
4173217438346434879 ~1998
4173394318346788639 ~1998
417340229333872183310 ~2000
417340951667745521710 ~2001
4173619918347239839 ~1998
417362369584307316710 ~2000
417388093250432855910 ~1999
4174097038348194079 ~1998
4174149838348299679 ~1998
417426277667882043310 ~2001
4174445398348890799 ~1998
4174493038348986079 ~1998
417452639333962111310 ~2000
417483733250490239910 ~1999
4174852198349704399 ~1998
4174957798349915599 ~1998
4175202838350405679 ~1998
4175248438350496879 ~1998
4175312398350624799 ~1998
4175378398350756799 ~1998
4175509438351018879 ~1998
417551633584572286310 ~2000
Exponent Prime Factor Digits Year
4175604718351209439 ~1998
4175632918351265839 ~1998
4175685838351371679 ~1998
4175736838351473679 ~1998
4175783472756017090311 ~2002
4175942518351885039 ~1998
4176212998352425999 ~1998
417625841250575504710 ~1999
4176361011336435523311 ~2001
4176406318352812639 ~1998
4176415318352830639 ~1998
4176439918352879839 ~1998
4176480838352961679 ~1998
4176533638353067279 ~1998
4176570838353141679 ~1998
4176620998353241999 ~1998
417666719334133375310 ~2000
4176683518353367039 ~1998
417674141250604484710 ~1999
4176789838353579679 ~1998
4176795831336574665711 ~2001
4176806998353613999 ~1998
417702037250621222310 ~1999
4177021798354043599 ~1998
417702217668323547310 ~2001
3091
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25-04-13