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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
444370889355496711310 ~2000
444403577266642146310 ~2000
444409153266645491910 ~2000
4444172038888344079 ~1999
4444374598888749199 ~1999
4444400998888801999 ~1999
4444449718888899439 ~1999
4444500598889001199 ~1999
4444554118889108239 ~1999
4444717438889434879 ~1999
4444734118889468239 ~1999
4444786318889572639 ~1999
4444834438889668879 ~1999
4444918198889836399 ~1999
4445004718890009439 ~1999
4445198998890397999 ~1999
444552041266731224710 ~2000
4445551198891102399 ~1999
4445614438891228879 ~1999
4445622598891245199 ~1999
4445729518891459039 ~1999
4445742118891484239 ~1999
4445753638891507279 ~1999
444580457266748274310 ~2000
4445937718891875439 ~1999
Exponent Prime Factor Digits Year
444603589978127895910 ~2001
4446047038892094079 ~1999
4446133975602128802311 ~2003
444619529622467340710 ~2001
444619993266771995910 ~2000
4446231838892463679 ~1999
4446444718892889439 ~1999
4446523438893046879 ~1999
4446526198893052399 ~1999
444678643444678643110 ~2000
444702977266821786310 ~2000
4447098718894197439 ~1999
4447136638894273279 ~1999
444714553266828731910 ~2000
444733111444733111110 ~2000
444742517266845510310 ~2000
444747119355797695310 ~2000
4447546198895092399 ~1999
4447577638895155279 ~1999
4447580031067419207311 ~2001
4447781091334334327111 ~2001
444787601266872560710 ~2000
444796841266878104710 ~2000
4448082238896164479 ~1999
4448086918896173839 ~1999
Exponent Prime Factor Digits Year
4448456998896913999 ~1999
44485264912455874172112 ~2004
4448543638897087279 ~1999
4448736838897473679 ~1999
4448740918897481839 ~1999
444874741266924844710 ~2000
444878789355903031310 ~2000
4448833318897666639 ~1999
4448950198897900399 ~1999
4448999638897999279 ~1999
4449129718898259439 ~1999
444915769978814691910 ~2001
444920477355936381710 ~2000
4449213718898427439 ~1999
4449330598898661199 ~1999
4449348598898697199 ~1999
444935789355948631310 ~2000
444997577266998546310 ~2000
4450091398900182799 ~1999
4450114936052156304911 ~2003
445012951712020721710 ~2001
4450222198900444399 ~1999
4450244518900489039 ~1999
4450275598900551199 ~1999
445040357623056499910 ~2001
Exponent Prime Factor Digits Year
4450407598900815199 ~1999
4450475038900950079 ~1999
4450892518901785039 ~1999
4450926118901852239 ~1999
445094081356075264910 ~2000
445103419445103419110 ~2000
445105399445105399110 ~2000
4451084638902169279 ~1999
4451092798902185599 ~1999
4451238838902477679 ~1999
4451407438902814879 ~1999
445158101356126480910 ~2000
4451802238903604479 ~1999
4451811838903623679 ~1999
445202533712324052910 ~2001
445203091445203091110 ~2000
4452147238904294479 ~1999
4452201838904403679 ~1999
4452325318904650639 ~1999
4452338518904677039 ~1999
4452356038904712079 ~1999
4452454918904909839 ~1999
4452597238905194479 ~1999
4452838798905677599 ~1999
4453258438906516879 ~1999
3446
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26-02-08