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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
586329083117265816710 ~2000
586344041351806424710 ~2001
5863567692345427076111 ~2003
586368697351821218310 ~2001
586369379117273875910 ~2000
586375703117275140710 ~2000
586376123117275224710 ~2000
586400891117280178310 ~2000
586402571117280514310 ~2000
586407331586407331110 ~2001
586421663117284332710 ~2000
586431383117286276710 ~2000
586442281351865368710 ~2001
586470719117294143910 ~2000
586478159469182527310 ~2001
586479143117295828710 ~2000
5864956392345982556111 ~2003
586501141351900684710 ~2001
586506071117301214310 ~2000
586509359117301871910 ~2000
586525883117305176710 ~2000
586532543117306508710 ~2000
586544279117308855910 ~2000
586573901351944340710 ~2001
586588199117317639910 ~2000
Exponent Prime Factor Digits Year
586633081351979848710 ~2001
586634003117326800710 ~2000
586639499117327899910 ~2000
586639717351983830310 ~2001
586642799117328559910 ~2000
5866501731759950519111 ~2002
586669091117333818310 ~2000
586679279117335855910 ~2000
586686239117337247910 ~2000
586692443117338488710 ~2000
586721171117344234310 ~2000
586730531117346106310 ~2000
586744241352046544710 ~2001
586745891117349178310 ~2000
586748759117349751910 ~2000
586759319117351863910 ~2000
5867636591994996440711 ~2003
5867698494694158792111 ~2003
586780921352068552710 ~2001
586817111117363422310 ~2000
586822751117364550310 ~2000
586850903117370180710 ~2000
586853231117370646310 ~2000
586860389469488311310 ~2001
586870799117374159910 ~2000
Exponent Prime Factor Digits Year
586895651117379130310 ~2000
586917533352150519910 ~2001
586923443117384688710 ~2000
586925513821695718310 ~2002
586929671117385934310 ~2000
586932299117386459910 ~2000
586986641469589312910 ~2001
586996643117399328710 ~2000
587002441352201464710 ~2001
587030891117406178310 ~2000
587033099117406619910 ~2000
587044511117408902310 ~2000
587062319117412463910 ~2000
587065571117413114310 ~2000
587068523117413704710 ~2000
587080283117416056710 ~2000
5871025131409046031311 ~2002
587113643117422728710 ~2000
587113739117422747910 ~2000
587127061352276236710 ~2001
587147831117429566310 ~2000
587166803117433360710 ~2000
587181047469744837710 ~2001
587212253822097154310 ~2002
587215319469772255310 ~2001
Exponent Prime Factor Digits Year
587219821352331892710 ~2001
587225741352335444710 ~2001
587247299117449459910 ~2000
587267183117453436710 ~2000
587271299117454259910 ~2000
587296019117459203910 ~2000
587300459469840367310 ~2001
587300639117460127910 ~2000
587307491469845992910 ~2001
587324183117464836710 ~2000
587330759117466151910 ~2000
587336423117467284710 ~2000
587348891469879112910 ~2001
587356571117471314310 ~2000
5873764671057277640711 ~2002
587399797352439878310 ~2001
587408981469927184910 ~2001
587425823117485164710 ~2000
5874258792467188691911 ~2003
587436749822411448710 ~2002
587436911117487382310 ~2000
587446031117489206310 ~2000
587508983117501796710 ~2000
587522423117504484710 ~2000
587533451470026760910 ~2001
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26-03-15