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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
17740071971064404318311 ~2004
17740226171064413570311 ~2004
17740353113193263559911 ~2006
1774035479354807095910 ~2003
17740455731064427343911 ~2004
17740535511419242840911 ~2005
1774077743354815548710 ~2003
1774086371354817274310 ~2003
1774111259354822251910 ~2003
17741335333903093772711 ~2006
1774209263354841852710 ~2003
17742443091419395447311 ~2005
17742493975322748191111 ~2006
17742712731064562763911 ~2004
17742723971064563438311 ~2004
17742862813903429818311 ~2006
1774288619354857723910 ~2003
1774338431354867686310 ~2003
17743497711419479816911 ~2005
1774375931354875186310 ~2003
1774453403354890680710 ~2003
17746039131064762347911 ~2004
1774620863354924172710 ~2003
1774626179354925235910 ~2003
17746783191419742655311 ~2005
Exponent Prime Factor Digits Year
1774717019354943403910 ~2003
1774725983354945196710 ~2003
1774804523354960904710 ~2003
1774821551354964310310 ~2003
1774846823354969364710 ~2003
17749120791419929663311 ~2005
17749314071774931407111 ~2005
1774982591354996518310 ~2003
17749872172484982103911 ~2005
1775103359355020671910 ~2003
1775218619355043723910 ~2003
1775272979355054595910 ~2003
1775386751355077350310 ~2003
1775394251355078850310 ~2003
1775411531355082306310 ~2003
177562024725568931556912 ~2008
1775705759355141151910 ~2003
1775717123355143424710 ~2003
1775759543355151908710 ~2003
1775841719355168343910 ~2003
1775887331355177466310 ~2003
17760519174262524600911 ~2006
1776082391355216478310 ~2003
1776111803355222360710 ~2003
1776213563355242712710 ~2003
Exponent Prime Factor Digits Year
17762176434262922343311 ~2006
17762443331065746599911 ~2004
1776250571355250114310 ~2003
1776262991355252598310 ~2003
1776420011355284002310 ~2003
1776463163355292632710 ~2003
1776523211355304642310 ~2003
17765643591421251487311 ~2005
17766312531065978751911 ~2004
1776730391355346078310 ~2003
1776797579355359515910 ~2003
1776834071355366814310 ~2003
17768407615685890435311 ~2006
1776842219355368443910 ~2003
17769381292487713380711 ~2005
1776960551355392110310 ~2003
1776963959355392791910 ~2003
1776993551355398710310 ~2003
1776998183355399636710 ~2003
1777025111355405022310 ~2003
1777077959355415591910 ~2003
17770936492487931108711 ~2005
1777140671355428134310 ~2003
1777143143355428628710 ~2003
17772195171066331710311 ~2004
Exponent Prime Factor Digits Year
1777231931355446386310 ~2003
1777340699355468139910 ~2003
17774368731066462123911 ~2004
17775009171422000733711 ~2005
1777781891355556378310 ~2003
17777826071777782607111 ~2005
1777790159355558031910 ~2003
1777816451355563290310 ~2003
1777854863355570972710 ~2003
17778639071777863907111 ~2005
1778015243355603048710 ~2003
17780398671422431893711 ~2005
1778047283355609456710 ~2003
177804817934138525036912 ~2008
17781038532844966164911 ~2005
1778158463355631692710 ~2003
1778166011355633202310 ~2003
1778245439355649087910 ~2003
1778328899355665779910 ~2003
1778469839355693967910 ~2003
1778475623355695124710 ~2003
1778524211355704842310 ~2003
1778593871355718774310 ~2003
1778609099355721819910 ~2003
17786401732490096242311 ~2005
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