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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
584233079467386463310 ~2001
584239703116847940710 ~2000
584241071116848214310 ~2000
584244313350546587910 ~2001
584246111116849222310 ~2000
5842515732687557235911 ~2003
5842542731402210255311 ~2002
584254949467403959310 ~2001
584257463116851492710 ~2000
584273939116854787910 ~2000
584274863116854972710 ~2000
584278181350566908710 ~2001
584304599116860919910 ~2000
584317631116863526310 ~2000
58432588313556360485712 ~2005
584346551116869310310 ~2000
584362759584362759110 ~2001
584382923116876584710 ~2000
5843914811753174443111 ~2002
584399759116879951910 ~2000
584405903116881180710 ~2000
584416271116883254310 ~2000
584418713350651227910 ~2001
584446481350667888710 ~2001
584447219116889443910 ~2000
Exponent Prime Factor Digits Year
584454617350672770310 ~2001
584462653350677591910 ~2001
584481701350689020710 ~2001
5844860471987252559911 ~2003
584492873350695723910 ~2001
584524091116904818310 ~2000
584555903116911180710 ~2000
584577551116915510310 ~2000
584577923116915584710 ~2000
584615183116923036710 ~2000
584651357350790814310 ~2001
584665583116933116710 ~2000
584671859116934371910 ~2000
584686859116937371910 ~2000
584690423116938084710 ~2000
584695283116939056710 ~2000
584709371116941874310 ~2000
584709773350825863910 ~2001
584731739116946347910 ~2000
584737343116947468710 ~2000
584742551116948510310 ~2000
584767409467813927310 ~2001
584781493350868895910 ~2001
584786771116957354310 ~2000
584788439116957687910 ~2000
Exponent Prime Factor Digits Year
584798303116959660710 ~2000
584842259467873807310 ~2001
584864899584864899110 ~2001
5848832691403719845711 ~2002
584901683116980336710 ~2000
584928563116985712710 ~2000
5849609271403906224911 ~2002
584964251116992850310 ~2000
584969219116993843910 ~2000
584975879116995175910 ~2000
584979683116995936710 ~2000
584981783116996356710 ~2000
584984831116996966310 ~2000
584992319467993855310 ~2001
585032219117006443910 ~2000
585038893351023335910 ~2001
5850503391872161084911 ~2002
585064439117012887910 ~2000
585072791117014558310 ~2000
585073739117014747910 ~2000
585074279117014855910 ~2000
585117563117023512710 ~2000
585118883117023776710 ~2000
585138553351083131910 ~2001
585143159117028631910 ~2000
Exponent Prime Factor Digits Year
585151019117030203910 ~2000
585169811117033962310 ~2000
5852042591989694480711 ~2003
585206813351124087910 ~2001
585224141351134484710 ~2001
585229163117045832710 ~2000
585231659117046331910 ~2000
585275857351165514310 ~2001
585283931117056786310 ~2000
585285479117057095910 ~2000
585300851117060170310 ~2000
585301943117060388710 ~2000
585312599117062519910 ~2000
585318277351190966310 ~2001
585318479117063695910 ~2000
585331771585331771110 ~2001
585333263117066652710 ~2000
585346571117069314310 ~2000
585381157936609851310 ~2002
585397283117079456710 ~2000
585429193936686708910 ~2002
585440111117088022310 ~2000
585463897936742235310 ~2002
5854693612224783571911 ~2003
585475199117095039910 ~2000
3746
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26-07-05