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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
20540963410819278 ~1988
205413171232479039 ~1989
205414316573257939 ~1991
20541611410832238 ~1988
205416711643333699 ~1990
20542283410845678 ~1988
20542331410846638 ~1988
20542499410849998 ~1988
205425131232550799 ~1989
20542811410856238 ~1988
20543051410861038 ~1988
20543951410879038 ~1988
20544659410893198 ~1988
20545331410906638 ~1988
20546159410923198 ~1988
20546651410933038 ~1988
20547083410941678 ~1988
205472091643776739 ~1990
20547479410949598 ~1988
20547503410950078 ~1988
20547731410954638 ~1988
205480272054802719 ~1990
205482172876750399 ~1990
20548331410966638 ~1988
205488891643911139 ~1990
Exponent Prime Factor Digits Year
20548991410979838 ~1988
20549351410987038 ~1988
205497013287952179 ~1990
20549783410995678 ~1988
20549843410996878 ~1988
205499332876990639 ~1990
205499991643999939 ~1990
205500711644005699 ~1990
205502871644022979 ~1990
205506672055066719 ~1990
20550863411017278 ~1988
205509171233055039 ~1989
205510732877150239 ~1990
20551451411029038 ~1988
20552531411050638 ~1988
20553023411060478 ~1988
205531791644254339 ~1990
205535171233211039 ~1989
205538533288616499 ~1990
20554151411083038 ~1988
20554223411084478 ~1988
20554679411093598 ~1988
205547771233286639 ~1989
205551913288830579 ~1990
20555219411104398 ~1988
Exponent Prime Factor Digits Year
205555272055552719 ~1990
20555651411113038 ~1988
20556671411133438 ~1988
20556743411134878 ~1988
20556863411137278 ~1988
20556923411138478 ~1988
20556923102784615110
205572891644583139 ~1990
20557451411149038 ~1988
205574894933797379 ~1991
20557571411151438 ~1988
20557583411151678 ~1988
20558003411160078 ~1988
20558183411163678 ~1988
20558339411166798 ~1988
20559191411183838 ~1988
20559551411191038 ~1988
205595511644764099
205605371233632239 ~1989
20560583411211678 ~1988
20561903411238078 ~1988
20562323411246478 ~1988
20562623411252478 ~1988
20562719411254398 ~1988
205627971233767839 ~1989
Exponent Prime Factor Digits Year
20562803411256078 ~1988
20562863411257278 ~1988
20563811411276238 ~1988
20563979411279598 ~1988
20564123411282478 ~1988
20564171411283438 ~1988
205651075346927839 ~1991
205651336169539919 ~1991
20565371411307438 ~1988
20565383411307678 ~1988
20565731411314638 ~1988
20566079411321598 ~1988
205661234935869539 ~1991
20566391411327838 ~1988
20566631411332638 ~1988
205667393702013039 ~1990
20567231411344638 ~1988
205677131234062799 ~1989
20568683411373678 ~1988
20568731411374638 ~1988
20568959411379198 ~1988
20569403411388078 ~1988
205701771234210639 ~1989
20570351411407038 ~1988
20571443411428878 ~1988
1384
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24-10-27