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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
52233440991044668819911 ~2007
52233753373134025202311 ~2008
52234820031044696400711 ~2007
52235545791044710915911 ~2007
52241297533134477851911 ~2008
522453562312538885495312 ~2010
52246107373134766442311 ~2008
52247580231044951604711 ~2007
52248002573134880154311 ~2008
52248440718359750513711 ~2009
52248841911044976838311 ~2007
52249069431044981388711 ~2007
52250094591045001891911 ~2007
52251402231045028044711 ~2007
52254226191045084523911 ~2007
52255215831045104316711 ~2007
52256591573135395494311 ~2008
52258355511045167110311 ~2007
52259066631045181332711 ~2007
52259950911045199018311 ~2007
52260025431045200508711 ~2007
52262803311045256066311 ~2007
52263457911045269158311 ~2007
52265172918362427665711 ~2009
52267414973136044898311 ~2008
Exponent Prime Factor Dig. Year
52268435991045368719911 ~2007
522732241121954754126312 ~2010
52273808533136428511911 ~2008
52275861591045517231911 ~2007
52276495791045529915911 ~2007
522765198124047199112712 ~2010
52277160831045543216711 ~2007
52278764631045575292711 ~2007
52280124231045602484711 ~2007
52284277973137056678311 ~2008
52285027013137101620711 ~2008
52288047231045760944711 ~2007
52288144431045762888711 ~2007
52289431431045788628711 ~2007
522902912321961922316712 ~2010
52290499578366479931311 ~2009
52290502311045810046311 ~2007
52294969911045899398311 ~2007
52295121315229512131111 ~2009
52295414031045908280711 ~2007
52296551697321517236711 ~2009
52300944831046018896711 ~2007
52301398573138083914311 ~2008
52302274191046045483911 ~2007
52304710911046094218311 ~2007
Exponent Prime Factor Dig. Year
52305777711046115554311 ~2007
52307419791046148395911 ~2007
52309257231046185144711 ~2007
52310001231046200024711 ~2007
52310588031046211760711 ~2007
52312516311046250326311 ~2007
52314270111046285402311 ~2007
52317462111046349242311 ~2007
52317991791046359835911 ~2007
52319373831046387476711 ~2007
52319687511046393750311 ~2007
52319755614185580448911 ~2008
52320188991046403779911 ~2007
52321763813139305828711 ~2008
52328684573139721074311 ~2008
52330329111046606582311 ~2007
52331794737326451262311 ~2009
52333757475233375747111 ~2009
52333835391046676707911 ~2007
52336263711046725274311 ~2007
52336836711046736734311 ~2007
52337125794186970063311 ~2008
52340309814187224784911 ~2008
52350798591047015971911 ~2007
52351398013141083880711 ~2008
Exponent Prime Factor Dig. Year
52351989111047039782311 ~2007
52360579791047211595911 ~2007
52364775231047295504711 ~2007
52365110511047302210311 ~2007
52366522311047330446311 ~2007
52367447391047348947911 ~2007
52367716431047354328711 ~2007
52371577911047431558311 ~2007
52372469391047449387911 ~2007
52374741973142484518311 ~2008
52377022133142621327911 ~2008
52378574813142714488711 ~2008
52380719031047614380711 ~2007
52383847733143030863911 ~2008
52387890474191031237711 ~2008
52392045773143522746311 ~2008
52394231574191538525711 ~2008
52396485591047929711911 ~2007
52397277231047945544711 ~2007
52398519711047970394311 ~2007
52398704391047974087911 ~2007
52400098431048001968711 ~2007
52401580431048031608711 ~2007
52402491714192199336911 ~2008
52403229591048064591911 ~2007
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25-04-13