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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
28000187134400897710 ~1993
28000463560009278 ~1989
28001651560033038 ~1989
28002479560049598 ~1989
28002671560053438 ~1989
280028239520959839 ~1992
28003439560068798 ~1989
28003499560069998 ~1989
28003823560076478 ~1989
28003883560077678 ~1989
280044472240355779 ~1991
28004939560098798 ~1989
280049872240398979 ~1991
28005011560100238 ~1989
28005023560100478 ~1989
28005203560104078 ~1989
28005839560116798 ~1989
280059171680355039 ~1990
28006177112024708110 ~1992
28006679560133598 ~1989
280067992240543939 ~1991
28007471560149438 ~1989
28007711560154238 ~1989
280077112240616899
280082171680493039 ~1990
Exponent Prime Factor Digits Year
28008551560171038 ~1989
28009139560182798 ~1989
28009199560183998 ~1989
28009343560186878 ~1989
28010459560209198 ~1989
28010771560215438 ~1989
28010819560216398 ~1989
280108331680649999 ~1990
28011023560220478 ~1989
280112276722694499 ~1992
280119131680714799 ~1990
28012031560240638 ~1989
28013423560268478 ~1989
280135096723242179 ~1992
28013519560270398 ~1989
28013591560271838 ~1989
28013963560279278 ~1989
280142211680853279 ~1990
280142714482283379 ~1991
28014323560286478 ~1989
28014599560291998 ~1989
28015523560310478 ~1989
28016039560320798 ~1989
28016531560330638 ~1989
280168971681013839 ~1990
Exponent Prime Factor Digits Year
280174492241395939 ~1991
28017791560355838 ~1989
28018043560360878 ~1989
28019279560385598 ~1989
280198371681190239 ~1990
280198992801989919 ~1991
28020263560405278 ~1989
28020299560405998 ~1989
28020491560409838 ~1989
28020659560413198 ~1989
28020719560414398 ~1989
28020731560414638 ~1989
28021319560426398 ~1989
28021403560428078 ~1989
28021919560438398 ~1989
28021943560438878 ~1989
28022339560446798 ~1989
280223531681341199 ~1990
28022591560451838 ~1989
28022831560456638 ~1989
280228331681369999 ~1990
28022999134510395310 ~1993
28023311560466238 ~1989
28023419560468398 ~1989
28023923560478478 ~1989
Exponent Prime Factor Digits Year
28024091560481838 ~1989
280244211681465279 ~1990
28024523560490478 ~1989
28024679560493598 ~1989
28025219560504398 ~1989
280255331681531999 ~1990
280257192802571919 ~1991
28025951560519038 ~1989
28026359560527198 ~1989
280263772242110179 ~1991
280264611008952596111 ~1995
28026503560530078 ~1989
280270032802700319 ~1991
28027511560550238 ~1989
280276972242215779 ~1991
280276973923877599
28028183560563678 ~1989
28028531560570638 ~1989
28028723560574478 ~1989
28028879560577598 ~1989
28029563560591278 ~1989
28029623560592478 ~1989
28030199560603998 ~1989
280305531681833199 ~1990
280308611681851679 ~1990
1670
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25-05-04