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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
4763592599527185199 ~1999
4763887919527775839 ~1999
4763917932191402247911 ~2002
4763935319527870639 ~1999
4763996999527993999 ~1999
476413373285848023910 ~2000
4764149471143395872911 ~2001
4764163319528326639 ~1999
4764214799528429599 ~1999
4764281633525568406311 ~2003
4764391799528783599 ~1999
4764395399528790799 ~1999
476497127381197701710 ~2000
4765268999530537999 ~1999
4765370039530740079 ~1999
476564159381251327310 ~2000
476570279381256223310 ~2000
4765788599531577199 ~1999
476587801285952680710 ~2000
4765910519531821039 ~1999
476592601285955560710 ~2000
4766065799532131599 ~1999
4766104691429831407111 ~2002
4766153399532306799 ~1999
4766162519532325039 ~1999
Exponent Prime Factor Digits Year
4766265119532530239 ~1999
4766321999532643999 ~1999
476649997285989998310 ~2000
4766560731429968219111 ~2002
4766592239533184479 ~1999
4766617439533234879 ~1999
476664679476664679110 ~2000
4766667839533335679 ~1999
4766702519533405039 ~1999
4766953199533906399 ~1999
4767399119534798239 ~1999
4767534719535069439 ~1999
476773057286063834310 ~2000
4767840839535681679 ~1999
476791717286075030310 ~2000
4768050719536101439 ~1999
4768307519536615039 ~1999
4768387799536775599 ~1999
4768448871239796706311 ~2001
4768580519537161039 ~1999
4768801199537602399 ~1999
4768818599537637199 ~1999
4768865639537731279 ~1999
4768886039537772079 ~1999
4768956239537912479 ~1999
Exponent Prime Factor Digits Year
4768979511239934672711 ~2001
4769006399538012799 ~1999
4769319719538639439 ~1999
4769372039538744079 ~1999
476960137286176082310 ~2000
476964833286178899910 ~2000
4769852639539705279 ~1999
4769921519539843039 ~1999
4770292439540584879 ~1999
4770307919540615839 ~1999
4770421199540842399 ~1999
4770555719541111439 ~1999
4770569399541138799 ~1999
4770628799541257599 ~1999
477079781381663824910 ~2000
477082999858749398310 ~2001
477083507381666805710 ~2000
477084977286250986310 ~2000
4771058999542117999 ~1999
4771059839542119679 ~1999
4771259639542519279 ~1999
477126869381701495310 ~2000
4771366319542732639 ~1999
4771560839543121679 ~1999
4771601639543203279 ~1999
Exponent Prime Factor Digits Year
4771845119543690239 ~1999
4772110439544220879 ~1999
4772253239544506479 ~1999
4772363391527156284911 ~2002
4772404194295163771111 ~2003
477254993286352995910 ~2000
4772554919545109839 ~1999
477268769381815015310 ~2000
4772747519545495039 ~1999
4772804519545609039 ~1999
4773014639546029279 ~1999
4773170519546341039 ~1999
4773477239546954479 ~1999
477362531381890024910 ~2000
4773758039547516079 ~1999
4773981119547962239 ~1999
4774004399548008799 ~1999
4774083599548167199 ~1999
4774138799548277599 ~1999
4774201912673553069711 ~2002
477458237381966589710 ~2000
4774599599549199199 ~1999
4774730639549461279 ~1999
4775063639550127279 ~1999
4775278199550556399 ~1999
3149
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25-04-13