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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
2268788111453757622310 ~2004
2268963659453792731910 ~2004
2268972911453794582310 ~2004
2268999143453799828710 ~2004
2269058171453811634310 ~2004
2269127039453825407910 ~2004
2269141571453828314310 ~2004
2269182563453836512710 ~2004
2269286891453857378310 ~2004
2269320491453864098310 ~2004
2269355111453871022310 ~2004
2269388351453877670310 ~2004
2269451759453890351910 ~2004
22694520711815561656911 ~2006
2269529219453905843910 ~2004
22696759211361805552711 ~2005
2269687319453937463910 ~2004
22696902531361814151911 ~2005
22696977432269697743111 ~2006
2269729019453945803910 ~2004
22697480875901345026311 ~2007
2269752899453950579910 ~2004
2269765163453953032710 ~2004
2269801763453960352710 ~2004
2269814051453962810310 ~2004
Exponent Prime Factor Digits Year
22698378192269837819111 ~2006
2269870859453974171910 ~2004
2269909331453981866310 ~2004
2269958363453991672710 ~2004
2269970663453994132710 ~2004
22700568913632091025711 ~2006
2270059919454011983910 ~2004
2270085959454017191910 ~2004
22701478512270147851111 ~2006
22701673375448401608911 ~2007
2270231543454046308710 ~2004
2270373191454074638310 ~2004
2270441951454088390310 ~2004
2270637443454127488710 ~2004
2270803499454160699910 ~2004
2270806523454161304710 ~2004
2270923103454184620710 ~2004
2271057059454211411910 ~2004
2271063731454212746310 ~2004
22710869811816869584911 ~2006
22710930291816874423311 ~2006
2271157043454231408710 ~2004
22711733296813519987111 ~2007
22711901533633904244911 ~2006
2271373523454274704710 ~2004
Exponent Prime Factor Digits Year
2271389531454277906310 ~2004
2271408239454281647910 ~2004
22714268411362856104711 ~2005
2271473423454294684710 ~2004
2271476099454295219910 ~2004
2271501959454300391910 ~2004
2271502223454300444710 ~2004
2271510803454302160710 ~2004
2271578219454315643910 ~2004
2271625523454325104710 ~2004
2271707831454341566310 ~2004
2271759923454351984710 ~2004
22718358011363101480711 ~2005
2271926999454385399910 ~2004
2271932051454386410310 ~2004
22719705295452729269711 ~2007
2272014191454402838310 ~2004
22720353731363221223911 ~2005
2272100723454420144710 ~2004
2272158599454431719910 ~2004
2272209839454441967910 ~2004
2272407779454481555910 ~2004
2272498223454499644710 ~2004
2272700999454540199910 ~2004
2272733423454546684710 ~2004
Exponent Prime Factor Digits Year
227286493918637492499912 ~2008
22729172091818333767311 ~2006
22729436271818354901711 ~2006
2273084111454616822310 ~2004
2273087111454617422310 ~2004
2273126039454625207910 ~2004
2273273531454654706310 ~2004
22733524695456045925711 ~2007
2273404643454680928710 ~2004
22734215515910896032711 ~2007
22734778611818782288911 ~2006
2273483879454696775910 ~2004
2273489171454697834310 ~2004
2273555831454711166310 ~2004
2273570291454714058310 ~2004
22735837617275468035311 ~2007
2274006671454801334310 ~2004
22741209771364472586311 ~2005
22741514571364490874311 ~2005
2274289739454857947910 ~2004
2274328559454865711910 ~2004
2274334571454866914310 ~2004
2274491099454898219910 ~2004
2274492119454898423910 ~2004
2274503519454900703910 ~2004
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25-07-08