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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
57104555391142091107911 ~2007
57105638835710563883111 ~2009
57109682511142193650311 ~2007
571098726713706369440912 ~2010
57111731511142234630311 ~2007
57117111111142342222311 ~2007
57117773391142355467911 ~2007
57119143431142382868711 ~2007
57122874591142457491911 ~2007
57123697911142473958311 ~2007
57124597374569967789711 ~2009
57125179973427510798311 ~2008
57125823831142516476711 ~2007
57127236831142544736711 ~2007
57127877391142557547911 ~2007
57130086831142601736711 ~2007
57133926973428035618311 ~2008
57135533991142710679911 ~2007
57136490991142729819911 ~2007
57138006711142760134311 ~2007
57138488511142769770311 ~2007
57141046191142820923911 ~2007
57141642831142832856711 ~2007
57141766191142835323911 ~2007
57142377231142847544711 ~2007
Exponent Prime Factor Dig. Year
57143423031142868460711 ~2007
57144242698000193976711 ~2009
57145978311142919566311 ~2007
571465219313715165263312 ~2010
571479727322859189092112 ~2010
57149891031142997820711 ~2007
57149945031142998900711 ~2007
57151128613429067716711 ~2008
57154572831143091456711 ~2007
57159857391143197147911 ~2007
57160413711143208274311 ~2007
57161163613429669816711 ~2008
57162440631143248812711 ~2007
57164678933429880735911 ~2008
571681162710290260928712 ~2010
57169724511143394490311 ~2007
57169990311143399806311 ~2007
57170422911143408458311 ~2007
57171719094573737527311 ~2009
57175042933430502575911 ~2008
57177473031143549460711 ~2007
57177743413430664604711 ~2008
57179412831143588256711 ~2007
57179835711143596714311 ~2007
571829308118298537859312 ~2010
Exponent Prime Factor Dig. Year
57183617031143672340711 ~2007
57184051311143681026311 ~2007
57184877173431092630311 ~2008
57186074391143721487911 ~2007
57187277991143745559911 ~2007
57188076231143761524711 ~2007
57188345031143766900711 ~2007
57189562191143791243911 ~2007
57190593231143811864711 ~2007
57192851511143857030311 ~2007
57193483573431609014311 ~2008
57195260031143905200711 ~2007
57196528431143930568711 ~2007
57197408631143948172711 ~2007
571982598112583617158312 ~2010
57199274031143985480711 ~2007
57202217511144044350311 ~2007
57211920831144238416711 ~2007
57212307591144246151911 ~2007
57216715311144334306311 ~2007
57220955631144419112711 ~2007
57223566111144471322311 ~2007
57224579631144491592711 ~2007
57225543711144510874311 ~2007
57227254613433635276711 ~2008
Exponent Prime Factor Dig. Year
572283011910301094214312 ~2010
57229587298012142220711 ~2009
57233767613434026056711 ~2008
57234029413434041764711 ~2008
57234152333434049139911 ~2008
57234260031144685200711 ~2007
57237111111144742222311 ~2007
57238588974579087117711 ~2009
57241256511144825130311 ~2007
57249274191144985483911 ~2007
57251565111145031302311 ~2007
57252016791145040335911 ~2007
57252157311145043146311 ~2007
57252543831145050876711 ~2007
57252915413435174924711 ~2008
57253161711145063234311 ~2007
57254813511145096270311 ~2007
572565002314886690059912 ~2010
572589199141226422335312 ~2011
572623560733212166520712 ~2011
57265116831145302336711 ~2007
57273094914581847592911 ~2009
57274051431145481028711 ~2007
57274533831145490676711 ~2007
57275134194582010735311 ~2009
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25-11-02