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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
2086205963417241192710 ~2004
20864311632086431163111 ~2006
2086480199417296039910 ~2004
2086482119417296423910 ~2004
2086570991417314198310 ~2004
20866029891669282391311 ~2005
2086631639417326327910 ~2004
2086675919417335183910 ~2004
2086680803417336160710 ~2004
2086689323417337864710 ~2004
2086805711417361142310 ~2004
2086879859417375971910 ~2004
20870424432087042443111 ~2006
20870937531252256251911 ~2005
20871984971252319098311 ~2005
2087206343417441268710 ~2004
2087253431417450686310 ~2004
2087306939417461387910 ~2004
2087316323417463264710 ~2004
2087413271417482654310 ~2004
20874376915427337996711 ~2007
2087465183417493036710 ~2004
2087491859417498371910 ~2004
2087499311417499862310 ~2004
20875466271670037301711 ~2005
Exponent Prime Factor Digits Year
2087632103417526420710 ~2004
20877124371252627462311 ~2005
20877182091670174567311 ~2005
2087746763417549352710 ~2004
20878779411252726764711 ~2005
2087924711417584942310 ~2004
2088064571417612914310 ~2004
20881479733341036756911 ~2006
2088392291417678458310 ~2004
20884074375012177848911 ~2006
2088490751417698150310 ~2004
20885125931253107555911 ~2005
2088575939417715187910 ~2004
20885780391670862431311 ~2005
208863653316709092264112 ~2008
2088664859417732971910 ~2004
2088720251417744050310 ~2004
208876157910443807895112 ~2007
2088867719417773543910 ~2004
20888892192088889219111 ~2006
2088894851417778970310 ~2004
2088937451417787490310 ~2004
2088951503417790300710 ~2004
2088961943417792388710 ~2004
20889848273760172688711 ~2006
Exponent Prime Factor Digits Year
2089120931417824186310 ~2004
20891535131253492107911 ~2005
20891886171253513170311 ~2005
2089193651417838730310 ~2004
2089224551417844910310 ~2004
2089288199417857639910 ~2004
2089300859417860171910 ~2004
2089305131417861026310 ~2004
2089316783417863356710 ~2004
2089358963417871792710 ~2004
20893940571253636434311 ~2005
20895650592089565059111 ~2006
20896745771253804746311 ~2005
2089695551417939110310 ~2004
2089722863417944572710 ~2004
2089735859417947171910 ~2004
2089751519417950303910 ~2004
20897911632089791163111 ~2006
2089808459417961691910 ~2004
2089871783417974356710 ~2004
208987540910031401963312 ~2007
20899656371253979382311 ~2005
2090037959418007591910 ~2004
2090155643418031128710 ~2004
2090189879418037975910 ~2004
Exponent Prime Factor Digits Year
2090312351418062470310 ~2004
2090384903418076980710 ~2004
20904091611672327328911 ~2005
2090432243418086448710 ~2004
2090477663418095532710 ~2004
2090511491418102298310 ~2004
2090563463418112692710 ~2004
20905978971254358738311 ~2005
2090607191418121438310 ~2004
2090624831418124966310 ~2004
2090703431418140686310 ~2004
2090846519418169303910 ~2004
20908688171254521290311 ~2005
2090886299418177259910 ~2004
2090963111418192622310 ~2004
2090968343418193668710 ~2004
20910014531254600871911 ~2005
20910229371672818349711 ~2005
2091040439418208087910 ~2004
20910449112091044911111 ~2006
20910998171254659890311 ~2005
2091188471418237694310 ~2004
20912042811254722568711 ~2005
2091263159418252631910 ~2004
20912712073346033931311 ~2006
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26-05-03