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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
2295248171459049634310 ~2004
2295305591459061118310 ~2004
2295309959459061991910 ~2004
2295314999459062999910 ~2004
2295323183459064636710 ~2004
2295436523459087304710 ~2004
2295479183459095836710 ~2004
2295498311459099662310 ~2004
2295506123459101224710 ~2004
2295507443459101488710 ~2004
22955863311836469064911 ~2006
22957219911836577592911 ~2006
22957836411377470184711 ~2005
2295814439459162887910 ~2004
22959499191836759935311 ~2006
2295970739459194147910 ~2004
2296012451459202490310 ~2004
22960955871836876469711 ~2006
22961098211377665892711 ~2005
2296140383459228076710 ~2004
22961578611836926288911 ~2006
2296186463459237292710 ~2004
22962193371377731602311 ~2005
2296299623459259924710 ~2004
2296372943459274588710 ~2004
Exponent Prime Factor Digits Year
2296386479459277295910 ~2004
22964204171377852250311 ~2005
2296433351459286670310 ~2004
2296445699459289139910 ~2004
229652596111023324612912 ~2007
22965276411377916584711 ~2005
2296627439459325487910 ~2004
2296672271459334454310 ~2004
2296701611459340322310 ~2004
22967233935512136143311 ~2007
2296776323459355264710 ~2004
2296777991459355598310 ~2004
2296790711459358142310 ~2004
2296903151459380630310 ~2004
2296913051459382610310 ~2004
22969789333675166292911 ~2006
2296995539459399107910 ~2004
2297124359459424871910 ~2004
2297127611459425522310 ~2004
2297231171459446234310 ~2004
22972672375513441368911 ~2007
22972910232297291023111 ~2006
2297380979459476195910 ~2004
22975069035514016567311 ~2007
22976185033676189604911 ~2006
Exponent Prime Factor Digits Year
22976704071838136325711 ~2006
22977048611378622916711 ~2005
22977111893216795664711 ~2006
2297788631459557726310 ~2004
2297798603459559720710 ~2004
2297804219459560843910 ~2004
2297909591459581918310 ~2004
2298077279459615455910 ~2004
2298085199459617039910 ~2004
2298097283459619456710 ~2004
22981245715975123884711 ~2007
22981381695055903971911 ~2007
22983217911838657432911 ~2006
22983953531379037211911 ~2005
22984802511838784200911 ~2006
22986295133218081318311 ~2006
229866962923906164141712 ~2008
2298722759459744551910 ~2004
22987288815057203538311 ~2007
2298847871459769574310 ~2004
2298962483459792496710 ~2004
22989710535057736316711 ~2007
2298998711459799742310 ~2004
2299134023459826804710 ~2004
2299243091459848618310 ~2004
Exponent Prime Factor Digits Year
2299320911459864182310 ~2004
22993561331379613679911 ~2005
2299381523459876304710 ~2004
2299550843459910168710 ~2004
229955389712877501823312 ~2008
22995709632299570963111 ~2006
2299673399459934679910 ~2004
22997324811379839488711 ~2005
22997664531379859871911 ~2005
2299780079459956015910 ~2004
23000175611380010536711 ~2005
2300100611460020122310 ~2004
23001076611380064596711 ~2005
23001221931380073315911 ~2005
2300323871460064774310 ~2004
2300379311460075862310 ~2004
2300379863460075972710 ~2004
23005543571380332614311 ~2005
23006885411380413124711 ~2005
2300804003460160800710 ~2004
2300810471460162094310 ~2004
2300872103460174420710 ~2004
2300963891460192778310 ~2004
2301134351460226870310 ~2004
23012355295522965269711 ~2007
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25-04-13