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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
2104538291420907658310 ~2004
2104595159420919031910 ~2004
2104694159420938831910 ~2004
2104725803420945160710 ~2004
21047719611262863176711 ~2005
2104856951420971390310 ~2004
2104907891420981578310 ~2004
21049446312104944631111 ~2006
210500015311788000856912 ~2007
2105070839421014167910 ~2004
2105141099421028219910 ~2004
21051529675473397714311 ~2007
21051737531263104251911 ~2005
21052161371263129682311 ~2005
2105228591421045718310 ~2004
2105318219421063643910 ~2004
2105337359421067471910 ~2004
2105350883421070176710 ~2004
21053577313789643915911 ~2006
2105468363421093672710 ~2004
21055427298422170916111 ~2007
2105568611421113722310 ~2004
21055851373368936219311 ~2006
2105659859421131971910 ~2004
2105746631421149326310 ~2004
Exponent Prime Factor Digits Year
2105780783421156156710 ~2004
2105822843421164568710 ~2004
2105860343421172068710 ~2004
21058799571263527974311 ~2005
2106027743421205548710 ~2004
21060525171263631510311 ~2005
21061188771263671326311 ~2005
21061649595054795901711 ~2006
21062406591684992527311 ~2005
2106242291421248458310 ~2004
2106286271421257254310 ~2004
21063454571263807274311 ~2005
2106445931421289186310 ~2004
2106569999421313999910 ~2004
21065967611263958056711 ~2005
21068834473371013515311 ~2006
2106904451421380890310 ~2004
2107012811421402562310 ~2004
2107020659421404131910 ~2004
2107026671421405334310 ~2004
2107039859421407971910 ~2004
21071377573371420411311 ~2006
21072230331264333819911 ~2005
21072671091685813687311 ~2005
2107385411421477082310 ~2004
Exponent Prime Factor Digits Year
2107394339421478867910 ~2004
2107405259421481051910 ~2004
2107475819421495163910 ~2004
2107508159421501631910 ~2004
2107620491421524098310 ~2004
21076895331264613719911 ~2005
21077617811264657068711 ~2005
21078234134637211508711 ~2006
21079022113372643537711 ~2006
2107928411421585682310 ~2004
21079372911686349832911 ~2005
21079783392107978339111 ~2006
21080210391686416831311 ~2005
2108136743421627348710 ~2004
21081927411686554192911 ~2005
21082227593794800966311 ~2006
210828181126986007180912 ~2008
2108340203421668040710 ~2004
21083806331265028379911 ~2005
2108397983421679596710 ~2004
2108568503421713700710 ~2004
2108666123421733224710 ~2004
2108693771421738754310 ~2004
2108921411421784282310 ~2004
21089235134639631728711 ~2006
Exponent Prime Factor Digits Year
21090079632109007963111 ~2006
21090907931265454475911 ~2005
21091715275483845970311 ~2007
21091940811687355264911 ~2005
21093046633374887460911 ~2006
21093382211265602932711 ~2005
2109444959421888991910 ~2004
2109448739421889747910 ~2004
21094791912109479191111 ~2006
21094797411265687844711 ~2005
2109522599421904519910 ~2004
2109544631421908926310 ~2004
2109570719421914143910 ~2004
2109721979421944395910 ~2004
2109779471421955894310 ~2004
21098352073797703372711 ~2006
2109940691421988138310 ~2004
21099919911687993592911 ~2005
2110012199422002439910 ~2004
21100378571266022714311 ~2005
211004268728696580543312 ~2008
2110055243422011048710 ~2004
2110181351422036270310 ~2004
211020881910551044095112 ~2007
21102341871688187349711 ~2005
3880
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25-07-20