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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
474914753284948851910 ~2000
4749260519498521039 ~1999
4749309839498619679 ~1999
4749396839498793679 ~1999
4749485999498971999 ~1999
4749768719499537439 ~1999
4749807719499615439 ~1999
474981973284989183910 ~2000
4749902039499804079 ~1999
4749904799499809599 ~1999
4750063799500127599 ~1999
475009147760014635310 ~2001
475025981380020784910 ~2000
4750334639500669279 ~1999
4750343039500686079 ~1999
475050619475050619110 ~2000
4750563119501126239 ~1999
4750729199501458399 ~1999
4750761599501523199 ~1999
475080121285048072710 ~2000
4750882919501765839 ~1999
4750944239501888479 ~1999
4750992599501985199 ~1999
475108561760173697710 ~2001
4751348999502697999 ~1999
Exponent Prime Factor Digits Year
4751372519502745039 ~1999
4751405639502811279 ~1999
4751435519502871039 ~1999
4751490719502981439 ~1999
475151381380121104910 ~2000
4751555639503111279 ~1999
4751590439503180879 ~1999
4751708039503416079 ~1999
4751731199503462399 ~1999
475180793285108475910 ~2000
4751824391615620292711 ~2002
4751840639503681279 ~1999
4751891039503782079 ~1999
475193767760310027310 ~2001
475197197285118318310 ~2000
475206601285123960710 ~2000
4752072839504145679 ~1999
4752136199504272399 ~1999
4752208919504417839 ~1999
4752398399504796799 ~1999
4752791639505583279 ~1999
4752795839505591679 ~1999
475281991760451185710 ~2001
4752888239505776479 ~1999
4752914519505829039 ~1999
Exponent Prime Factor Digits Year
475306081285183648710 ~2000
475311107380248885710 ~2000
4753153919506307839 ~1999
4753333439506666879 ~1999
475333423475333423110 ~2000
4753379039506758079 ~1999
475345441285207264710 ~2000
475347113285208267910 ~2000
4753739639507479279 ~1999
4753851599507703199 ~1999
4753960799507921599 ~1999
475396577380317261710 ~2000
4754481599508963199 ~1999
475452511855814519910 ~2001
475467449380373959310 ~2000
4754693999509387999 ~1999
4754730839509461679 ~1999
4754911799509823599 ~1999
475506329380405063310 ~2000
4755090599510181199 ~1999
4755247439510494879 ~1999
4755376319510752639 ~1999
4755903719511807439 ~1999
4755990119511980239 ~1999
4756082399512164799 ~1999
Exponent Prime Factor Digits Year
475617137285370282310 ~2000
4756300199512600399 ~1999
4756346519512693039 ~1999
4756530239513060479 ~1999
4756637039513274079 ~1999
4756687799513375599 ~1999
4756761119513522239 ~1999
475685227475685227110 ~2000
4756966919513933839 ~1999
4757000639514001279 ~1999
4757149319514298639 ~1999
475732633285439579910 ~2000
4757820312759535779911 ~2002
4757899439515798879 ~1999
475794161380635328910 ~2000
4758007799516015599 ~1999
4758077519516155039 ~1999
4758503639517007279 ~1999
475859533285515719910 ~2000
4759037519518075039 ~1999
4759113239518226479 ~1999
475918423475918423110 ~2000
4759330199518660399 ~1999
4759476119518952239 ~1999
4759487999518975999 ~1999
3171
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25-05-04