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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
586026209820436692710 ~2002
586041283937666052910 ~2002
586054747586054747110 ~2001
586065071117213014310 ~1999
586066931117213386310 ~1999
586112711117222542310 ~1999
586125359117225071910 ~1999
586171919117234383910 ~1999
586185251117237050310 ~1999
586194941468955952910 ~2001
586223219117244643910 ~1999
586243319117248663910 ~1999
586272059469017647310 ~2001
586274141351764484710 ~2001
586291523117258304710 ~1999
586323323117264664710 ~1999
586324631117264926310 ~1999
586329083117265816710 ~1999
586344041351806424710 ~2001
5863567692345427076111 ~2003
586368697351821218310 ~2001
586369379117273875910 ~1999
586375703117275140710 ~1999
586376123117275224710 ~1999
586400891117280178310 ~1999
Exponent Prime Factor Digits Year
586402571117280514310 ~1999
586407331586407331110 ~2001
586421663117284332710 ~1999
586431383117286276710 ~1999
586442281351865368710 ~2001
586470719117294143910 ~1999
586478159469182527310 ~2001
586479143117295828710 ~1999
5864956392345982556111 ~2003
586501141351900684710 ~2001
586506071117301214310 ~1999
586509359117301871910 ~1999
586525883117305176710 ~1999
586532543117306508710 ~1999
586544279117308855910 ~1999
586573901351944340710 ~2001
586588199117317639910 ~1999
586633081351979848710 ~2001
586634003117326800710 ~1999
586639499117327899910 ~1999
586639717351983830310 ~2001
586642799117328559910 ~1999
5866501731759950519111 ~2002
586679279117335855910 ~1999
586692443117338488710 ~1999
Exponent Prime Factor Digits Year
586721171117344234310 ~1999
586730531117346106310 ~1999
586744241352046544710 ~2001
586745891117349178310 ~1999
586748759117349751910 ~1999
586759319117351863910 ~1999
5867636591994996440711 ~2002
5867698494694158792111 ~2003
586780921352068552710 ~2001
586817111117363422310 ~1999
586850903117370180710 ~1999
586853231117370646310 ~1999
586860389469488311310 ~2001
586870799117374159910 ~1999
586895651117379130310 ~1999
586917533352150519910 ~2001
586923443117384688710 ~1999
586925513821695718310 ~2002
586929671117385934310 ~1999
586932299117386459910 ~1999
586986641469589312910 ~2001
586996643117399328710 ~1999
587002441352201464710 ~2001
587030891117406178310 ~1999
587033099117406619910 ~1999
Exponent Prime Factor Digits Year
587044511117408902310 ~1999
587062319117412463910 ~1999
587065571117413114310 ~1999
587068523117413704710 ~1999
5871025131409046031311 ~2002
587113643117422728710 ~1999
587113739117422747910 ~1999
587127061352276236710 ~2001
587147831117429566310 ~1999
587166803117433360710 ~1999
587181047469744837710 ~2001
587212253822097154310 ~2002
587215319469772255310 ~2001
587219821352331892710 ~2001
587247299117449459910 ~1999
587267183117453436710 ~1999
587271299117454259910 ~1999
587296019117459203910 ~1999
587300459469840367310 ~2001
587300639117460127910 ~1999
587307491469845992910 ~2001
587324183117464836710 ~1999
587348891469879112910 ~2001
5873764671057277640711 ~2002
587399797352439878310 ~2001
3303
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25-06-08