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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
57600459711152009194311 ~2007
57604936314608394904911 ~2009
57605175711152103514311 ~2007
57606472791152129455911 ~2007
57606785511152135710311 ~2007
57609455631152189112711 ~2007
57611672991152233459911 ~2007
57611843391152236867911 ~2007
576122239923044889596112 ~2010
57613032111152260642311 ~2007
57615832311152316646311 ~2007
57617060391152341207911 ~2007
57618263631152365272711 ~2007
576224362936878359225712 ~2011
57623236911152464738311 ~2007
57626069631152521392711 ~2007
57628116831152562336711 ~2007
57630306831152606136711 ~2007
57630604311152612086311 ~2007
57630715791152614315911 ~2007
57630810591152616211911 ~2007
57632849874610627989711 ~2009
57634054911152681098311 ~2007
57634143111152682862311 ~2007
57635231631152704632711 ~2007
Exponent Prime Factor Dig. Year
57638330631152766612711 ~2007
57638714991152774299911 ~2007
57639833715763983371111 ~2009
57642974031152859480711 ~2007
57646329831152926596711 ~2007
57647161791152943235911 ~2007
57647854791152957095911 ~2007
576531399726520444386312 ~2011
57653449014612275920911 ~2009
57653677911153073558311 ~2007
57656319973459379198311 ~2008
57660737839225718052911 ~2009
576610191110378983439912 ~2010
57662419911153248398311 ~2007
57662831511153256630311 ~2007
57664250511153285010311 ~2007
57665304111153306082311 ~2007
57665365191153307303911 ~2007
57668194791153363895911 ~2007
57668503431153370068711 ~2007
57670086294613606903311 ~2009
57670574631153411492711 ~2007
57673490511153469810311 ~2007
57680522391153610447911 ~2007
57688112991153762259911 ~2007
Exponent Prime Factor Dig. Year
57690124395769012439111 ~2009
57692957511153859150311 ~2007
57696566991153931339911 ~2007
57696732773461803966311 ~2008
57697080111153941602311 ~2007
57700558911154011178311 ~2007
57700590831154011816711 ~2007
57703222191154064443911 ~2007
57708404698079176656711 ~2009
57709184511154183690311 ~2007
57711748374616939869711 ~2009
57712465311154249306311 ~2007
57713971733462838303911 ~2008
577180450927704661643312 ~2011
57718344231154366884711 ~2007
57719330391154386607911 ~2007
577201512713852836304912 ~2010
57720470631154409412711 ~2007
57723192711154463854311 ~2007
577235356912699177851912 ~2010
57726411831154528236711 ~2007
57729532431154590648711 ~2007
57732230631154644612711 ~2007
57732783613463967016711 ~2008
57732897591154657951911 ~2007
Exponent Prime Factor Dig. Year
57734147991154682959911 ~2007
57735376978082952775911 ~2009
57736170711154723414311 ~2007
57738171831154763436711 ~2007
57739141431154782828711 ~2007
57743474173464608450311 ~2008
57744442333464666539911 ~2008
57745895391154917907911 ~2007
577469455124253717114312 ~2010
57750016191155000323911 ~2007
57750181431155003628711 ~2007
57755822694620465815311 ~2009
57759350511155187010311 ~2007
57761222511155224450311 ~2007
57765732174621258573711 ~2009
57768236715776823671111 ~2009
57770821191155416423911 ~2007
57779652831155593056711 ~2007
57780238791155604775911 ~2007
57780878631155617572711 ~2007
57780922791155618455911 ~2007
57784200013467052000711 ~2008
57785449911155708998311 ~2007
57786900591155738011911 ~2007
57788578314623086264911 ~2009
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25-04-13