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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
7548555592415537788911 ~2003
754858283150971656710 ~2000
754940881452964528710 ~2001
754983877452990326310 ~2001
755003273453001963910 ~2001
755017019151003403910 ~2000
755025191151005038310 ~2000
7550260573020104228111 ~2004
7550510691057071496711 ~2002
755079971151015994310 ~2000
755125919151025183910 ~2000
755142191151028438310 ~2000
755175923151035184710 ~2000
755179739151035947910 ~2000
7552086891057292164711 ~2002
755238611151047722310 ~2000
755257109604205687310 ~2002
755266703151053340710 ~2000
755277251151055450310 ~2000
755298059151059611910 ~2000
755298419151059683910 ~2000
755318639151063727910 ~2000
755330777453198466310 ~2002
755332751151066550310 ~2000
755357951151071590310 ~2000
Exponent Prime Factor Digits Year
755377211151075442310 ~2000
755421791151084358310 ~2000
755423351151084670310 ~2000
755427983151085596710 ~2000
755437219755437219110 ~2002
755438531151087706310 ~2000
755439143151087828710 ~2000
755440403151088080710 ~2000
755459363151091872710 ~2000
755497679151099535910 ~2000
755510303151102060710 ~2000
755525663151105132710 ~2000
755534963151106992710 ~2000
755541119151108223910 ~2000
755549831151109966310 ~2000
755590421453354252710 ~2002
755607623151121524710 ~2000
755609579151121915910 ~2000
755630159151126031910 ~2000
7556602911360188523911 ~2003
755667131151133426310 ~2000
7556679319068015172111 ~2005
755685851151137170310 ~2000
755709809604567847310 ~2002
7557221391813733133711 ~2003
Exponent Prime Factor Digits Year
755735699151147139910 ~2000
755748661453449196710 ~2002
7557903537860219671311 ~2005
755844731151168946310 ~2000
755845319151169063910 ~2000
755846831151169366310 ~2000
755848811151169762310 ~2000
7558540635442149253711 ~2004
755881271151176254310 ~2000
755895389604716311310 ~2002
755938763151187752710 ~2000
7559514591814283501711 ~2003
755957171151191434310 ~2000
755966383755966383110 ~2002
755967731151193546310 ~2000
755973917453584350310 ~2002
755975621453585372710 ~2002
755995343151199068710 ~2000
756012329604809863310 ~2002
756033737453620242310 ~2002
756037343151207468710 ~2000
756042491604833992910 ~2002
756049523151209904710 ~2000
756066821453640092710 ~2002
756071891151214378310 ~2000
Exponent Prime Factor Digits Year
756165251151233050310 ~2000
756192383151238476710 ~2000
756218051151243610310 ~2000
756227999151245599910 ~2000
7562668731058773622311 ~2002
7563424671815221920911 ~2003
756372791151274558310 ~2000
7563735911361472463911 ~2003
756379139151275827910 ~2000
756414299151282859910 ~2000
756433619605146895310 ~2002
756479921605183936910 ~2002
756500231605200184910 ~2002
756552371151310474310 ~2000
756580943151316188710 ~2000
756584963151316992710 ~2000
756597899151319579910 ~2000
7566040331815849679311 ~2003
756617951151323590310 ~2000
756634559151326911910 ~2000
756635263756635263110 ~2002
7566395634993821115911 ~2004
756642539151328507910 ~2000
756645521453987312710 ~2002
756653063151330612710 ~2000
3411
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25-06-08