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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 Dig. Year
53779805511075596110311 ~2007
537826405316134792159112 ~2010
53784044031075680880711 ~2007
53784864294302789143311 ~2008
53790161514303212920911 ~2008
53791093311075821866311 ~2007
53798448591075968971911 ~2007
53799680391075993607911 ~2007
53803022514304241800911 ~2008
53803374474304269957711 ~2008
53803508631076070172711 ~2007
53806336311076126726311 ~2007
53808419511076168390311 ~2007
53808433431076168668711 ~2007
53808968631076179372711 ~2007
53810059578609609531311 ~2009
53811400911076228018311 ~2007
538124043716143721311112 ~2010
53815711791076314235911 ~2007
53820092631076401852711 ~2007
53823840474305907237711 ~2008
53825248791076504975911 ~2007
53826012711076520254311 ~2007
53827270191076545403911 ~2007
53831882538613101204911 ~2009
Exponent Prime Factor Dig. Year
53832074994306565999311 ~2008
53836572831076731456711 ~2007
53836692111076733842311 ~2007
53838902511076778050311 ~2007
53839512111076790242311 ~2007
53840441394307235311311 ~2008
53842290231076845804711 ~2007
53843359374307468749711 ~2008
53843409533230604571911 ~2008
53843887213230633232711 ~2008
53846459478615433515311 ~2009
53847062514307765000911 ~2008
53847317991076946359911 ~2007
53847416511076948330311 ~2007
53854387311077087746311 ~2007
53855476213231328572711 ~2008
53857933311077158666311 ~2007
53861448373231686902311 ~2008
53861951511077239030311 ~2007
53862001191077240023911 ~2007
53863104591077262091911 ~2007
53868593991077371879911 ~2007
538696975912928727421712 ~2010
53870233191077404663911 ~2007
53871499791077429995911 ~2007
Exponent Prime Factor Dig. Year
53874126831077482536711 ~2007
538752460712930059056912 ~2010
53875475631077509512711 ~2007
53878158711077563174311 ~2007
53881289511077625790311 ~2007
53884543431077690868711 ~2007
538946953772218891795912 ~2011
53895219711077904394311 ~2007
53897821919701607943911 ~2009
53901422391078028447911 ~2007
53901814311078036286311 ~2007
53902577511078051550311 ~2007
53904263391078085267911 ~2007
53904581631078091632711 ~2007
53905020111078100402311 ~2007
53905023111078100462311 ~2007
53905141311078102826311 ~2007
53905325991078106519911 ~2007
53905501974312440157711 ~2008
53908396911078167938311 ~2007
53908558191078171163911 ~2007
53911889631078237792711 ~2007
53915314014313225120911 ~2008
53916355638626616900911 ~2009
53916440813234986448711 ~2008
Exponent Prime Factor Dig. Year
53916699111078333982311 ~2007
53917833479705210024711 ~2009
53918135991078362719911 ~2007
53920169991078403399911 ~2007
53921725613235303536711 ~2008
53922524031078450480711 ~2007
53926206831078524136711 ~2007
53928137173235688230311 ~2008
53929060638628649700911 ~2009
53929317111078586342311 ~2007
53930520973235831258311 ~2008
53931646911078632938311 ~2007
53933350933236001055911 ~2008
53938679031078773580711 ~2007
53939210631078784212711 ~2007
53940084231078801684711 ~2007
53940257511078805150311 ~2007
53943691431078873828711 ~2007
53944058511078881170311 ~2007
53945033214315602656911 ~2008
53945220177552330823911 ~2009
53946661311078933226311 ~2007
53949794511078995890311 ~2007
53952044991079040899911 ~2007
53952570133237154207911 ~2008
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25-04-13