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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
4170126118340252239 ~1998
4170187798340375599 ~1998
4170340438340680879 ~1998
4170348238340696479 ~1998
417039149333631319310 ~2000
4170413518340827039 ~1998
4170432718340865439 ~1998
4170641398341282799 ~1998
4171131598342263199 ~1998
4171156198342312399 ~1998
4171201318342402639 ~1998
4171340933587353199911 ~2002
4171409638342819279 ~1998
4171489438342978879 ~1998
417164719417164719110 ~2000
417186937250312162310 ~1999
417189713250313827910 ~1999
417205577584087807910 ~2000
417209497250325698310 ~1999
417214753250328851910 ~1999
4172242932253011182311 ~2002
4172364838344729679 ~1998
4172444638344889279 ~1998
417307613584230658310 ~2000
4173107038346214079 ~1998
Exponent Prime Factor Digits Year
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
4175604718351209439 ~1998
4175632918351265839 ~1998
Exponent Prime Factor Digits Year
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
4177098718354197439 ~1998
4177169518354339039 ~1998
Exponent Prime Factor Digits Year
4177177918354355839 ~1998
4177454398354908799 ~1998
4177607518355215039 ~1998
4177736518355473039 ~1998
4177884671671153868111 ~2002
4177923838355847679 ~1998
417804043417804043110 ~2000
4178062438356124879 ~1998
417810611334248488910 ~2000
4178233971253470191111 ~2001
4178264398356528799 ~1998
4178347798356695599 ~1998
417836717334269373710 ~2000
4178372534011237628911 ~2002
417845881250707528710 ~1999
4178469598356939199 ~1998
417851297250710778310 ~1999
417856861250714116710 ~1999
4178581431755004200711 ~2002
417865121334292096910 ~2000
4178680918357361839 ~1998
4178715238357430479 ~1998
417878557250727134310 ~1999
4178806798357613599 ~1998
4178879038357758079 ~1998
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25-05-04