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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.
Exp. Prime Factor Digits Year
7886783157735678 ~1985
78867891104150479 ~1987
78867973627926639 ~1988
7887247788724718 ~1987
78873171892956099 ~1987
78874095047941779 ~1989
78874271261988339 ~1987
7887611157752238 ~1985
7887707631016578 ~1986
7887721473263278 ~1986
7887953473277198 ~1986
78880371104325199 ~1987
7888157631052578 ~1986
7888217631057378 ~1986
7888451157769038 ~1985
7888483788848318 ~1987
7888877473332638 ~1986
7888919631113538 ~1986
7888921473335278 ~1986
78890591420030639 ~1987
7889099631127938 ~1986
7889291157785838 ~1985
7889291631143298
7889627631170178 ~1986
7889639631171138 ~1986
Exp. Prime Factor Digits Year
7889663157793278 ~1985
7889723157794478 ~1985
7889881473392878 ~1986
7889891157797838 ~1985
7890119157802398 ~1985
78901191420221439
7890143157802878 ~1985
7890191157803838 ~1985
7890251157805038 ~1985
78906071420309279 ~1987
7890611157812238 ~1985
7890923157818478 ~1985
7891031631282498 ~1986
7891211157824238 ~1985
7891379157827598 ~1985
7891739157834798 ~1985
7891979157839598 ~1985
7891979631358338
7892051157841038 ~1985
7892057473523438 ~1986
7892257473535438 ~1986
7892603157852078 ~1985
7893047631443778 ~1986
7893311157866238 ~1985
7893331789333118 ~1987
Exp. Prime Factor Digits Year
7893359631468738 ~1986
7893533473611998 ~1986
7893581473614878 ~1986
7893673473620398 ~1986
7893779157875598 ~1985
7894021473641278 ~1986
78941532368245919 ~1988
7894219789421918 ~1987
7894619631569538 ~1986
7894751157895038 ~1985
7894807789480718 ~1987
7894871157897438 ~1985
78949612368488319 ~1988
7895081473704878 ~1986
7895183157903678 ~1985
7895603157912078 ~1985
7895651631652098 ~1986
7895653473739198 ~1986
7895663157913278 ~1985
78956838843164979 ~1989
7895807631664578 ~1986
78959292368778719 ~1988
7896071157921438 ~1985
7896271789627118 ~1987
7896431157928638 ~1985
Exp. Prime Factor Digits Year
7896527631722178 ~1986
7896803157936078 ~1985
7897031157940638 ~1985
7897031631762498
7897321473839278 ~1986
7897397631791778 ~1986
7897453473847198 ~1986
7897601473856078 ~1986
7897619157952398 ~1985
7897633473857998 ~1986
7897667631813378 ~1986
7898221473893278 ~1986
78982911421692399 ~1987
7898339157966798 ~1985
7898603157972078 ~1985
7898981473938878 ~1986
78989932527677779 ~1988
78991271263860339 ~1987
7899319789931918 ~1987
78993191421877439
7899371157987438 ~1985
7899457473967438 ~1986
7899581473974878 ~1986
7899719631977538 ~1986
7900043158000878 ~1985
889
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25-05-04