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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
22866658331371999499911 ~2005
2286836759457367351910 ~2004
2286851111457370222310 ~2004
22868527791829482223311 ~2006
22868631971372117918311 ~2005
2286948479457389695910 ~2004
2286951059457390211910 ~2004
2287046123457409224710 ~2004
22870496211372229772711 ~2005
2287242323457448464710 ~2004
22872451011829796080911 ~2006
2287280423457456084710 ~2004
2287342643457468528710 ~2004
2287499099457499819910 ~2004
2287531331457506266310 ~2004
2287555811457511162310 ~2004
2287555871457511174310 ~2004
22875624771372537486311 ~2005
22877013471830161077711 ~2006
2287774019457554803910 ~2004
2287796519457559303910 ~2004
22878975411372738524711 ~2005
22879771373203167991911 ~2006
2288021843457604368710 ~2004
22881635713661061713711 ~2006
Exponent Prime Factor Digits Year
2288177711457635542310 ~2004
22883603095492064741711 ~2007
2288433011457686602310 ~2004
2288455451457691090310 ~2004
2288594879457718975910 ~2004
2288618063457723612710 ~2004
22886437811373186268711 ~2005
22886776635492826391311 ~2007
2288756819457751363910 ~2004
2288963063457792612710 ~2004
2289055199457811039910 ~2004
2289137351457827470310 ~2004
2289140783457828156710 ~2004
2289163319457832663910 ~2004
2289181799457836359910 ~2004
2289197231457839446310 ~2004
2289227903457845580710 ~2004
2289262043457852408710 ~2004
2289277439457855487910 ~2004
22893544971373612698311 ~2005
2289364163457872832710 ~2004
2289372803457874560710 ~2004
22894545771373672746311 ~2005
2289477059457895411910 ~2004
22897068171373824090311 ~2005
Exponent Prime Factor Digits Year
2289718019457943603910 ~2004
2289763403457952680710 ~2004
2289844883457968976710 ~2004
22898489211373909352711 ~2005
2289854951457970990310 ~2004
2289872603457974520710 ~2004
2289914843457982968710 ~2004
22899749233663959876911 ~2006
2290157783458031556710 ~2004
2290180283458036056710 ~2004
22902442272290244227111 ~2006
2290280879458056175910 ~2004
2290407071458081414310 ~2004
2290431191458086238310 ~2004
22905977217329912707311 ~2007
2290627571458125514310 ~2004
2290651943458130388710 ~2004
22906879011374412740711 ~2005
2290696571458139314310 ~2004
2290963583458192716710 ~2004
2291030543458206108710 ~2004
2291090759458218151910 ~2004
2291108639458221727910 ~2004
2291239103458247820710 ~2004
22912453618706732371911 ~2007
Exponent Prime Factor Digits Year
2291333483458266696710 ~2004
22915679331374940759911 ~2005
2291680799458336159910 ~2004
22916843571833347485711 ~2006
2291710979458342195910 ~2004
22917276371375036582311 ~2005
2291729411458345882310 ~2004
22917765073666842411311 ~2006
2291804219458360843910 ~2004
2291814839458362967910 ~2004
22918508171375110490311 ~2005
22918630811375117848711 ~2005
22918964995500551597711 ~2007
2291900291458380058310 ~2004
22919833875500760128911 ~2007
22919899575500775896911 ~2007
2291999819458399963910 ~2004
2292006191458401238310 ~2004
22920066171375203970311 ~2005
22920546171375232770311 ~2005
2292145463458429092710 ~2004
2292189563458437912710 ~2004
2292414791458482958310 ~2004
2292448859458489771910 ~2004
2292483863458496772710 ~2004
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25-07-08