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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
43815599876311998 ~1991
438155993505247939
438163517010616179 ~1993
438167572629005439 ~1992
438175673505405379 ~1992
43819649236626104710 ~1994
438198012629188079 ~1992
43820219876404398 ~1991
43820603876412078 ~1991
438224336135140639 ~1993
43824323876486478 ~1991
438249677888494079 ~1993
438256373506050979 ~1992
438269212629615279 ~1992
43828943105189463310 ~1993
438295572629773439 ~1992
43831943876638878 ~1991
43833203876664078 ~1991
438336197890051439 ~1993
43834859876697198 ~1991
43836431876728638 ~1991
43837331876746638 ~1991
438374812630248879 ~1992
43837691876753838 ~1991
43838363876767278 ~1991
Exponent Prime Factor Digits Year
438388132630328799 ~1992
43838831876776638 ~1991
43838831315639583310
43839143876782878 ~1991
43840031876800638 ~1991
43840631876812638 ~1991
43840649166594466310 ~1994
43841111245510221710 ~1994
438411172630467039 ~1992
43841183876823678 ~1991
438421932630531599 ~1992
43842203876844078 ~1991
43842503876850078 ~1991
43842971876859438 ~1991
438437393507499139 ~1992
43844771876895438 ~1991
43845611876912238 ~1991
43845821947069733710 ~1996
438464212630785279 ~1992
438464572630787439 ~1992
43846919876938398 ~1991
43847519876950398 ~1991
43848671876973438 ~1991
43848743876974878 ~1991
438495173507961379 ~1992
Exponent Prime Factor Digits Year
43851539877030798 ~1991
43852691877053838 ~1991
43852811877056238 ~1991
43852997131558991110 ~1994
438533172631199039 ~1992
43854383877087678 ~1991
438550372631302239 ~1992
438556332631337999 ~1992
43856003877120078 ~1991
438563412631380479 ~1992
43857431877148638 ~1991
438588532631531199 ~1992
43860023877200478 ~1991
43860827105265984910 ~1993
43861679877233598 ~1991
43862183877243678 ~1991
438629213509033699 ~1992
43864099359685611910 ~1995
43864319877286398 ~1991
438649373509194979 ~1992
438652732631916399 ~1992
43865483877309678 ~1991
43865999877319998 ~1991
43866659877333198 ~1991
43866671877333438 ~1991
Exponent Prime Factor Digits Year
43867319877346398 ~1991
43867669210564811310 ~1994
43867823877356478 ~1991
43868171877363438 ~1991
43868243877364878 ~1991
438692273509538179 ~1992
438694812632168879 ~1992
438700673509605379 ~1992
43870091877401838 ~1991
43871423877428478 ~1991
438728332632369999 ~1992
43873499877469998 ~1991
43874279877485598 ~1991
43876979877539598 ~1991
43877579877551598 ~1991
438784332632705999 ~1992
438785572632713439 ~1992
43879019877580398 ~1991
43879631877592638 ~1991
438809532632857199 ~1992
43881599877631998 ~1991
438828012632968079 ~1992
438856932633141599 ~1992
43885799877715998 ~1991
43885883877717678 ~1991
1959
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25-04-13