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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
753810797603048637710 ~2002
753837599150767519910 ~2000
753844043150768808710 ~2000
753860363150772072710 ~2000
753876719150775343910 ~2000
753887903150777580710 ~2000
753893573452336143910 ~2001
753897863150779572710 ~2000
753909419150781883910 ~2000
753925703150785140710 ~2000
753937259150787451910 ~2000
753965123150793024710 ~2000
753967619150793523910 ~2000
753994799150798959910 ~2000
754014479150802895910 ~2000
754019099150803819910 ~2000
754052699150810539910 ~2000
754060271150812054310 ~2000
754095371150819074310 ~2000
754105043150821008710 ~2000
754105883150821176710 ~2000
754111019150822203910 ~2000
754168451150833690310 ~2000
754209851603367880910 ~2002
754228823150845764710 ~2000
Exponent Prime Factor Digits Year
754243463150848692710 ~2000
754250663150850132710 ~2000
754273259150854651910 ~2000
754285991603428792910 ~2002
754288763150857752710 ~2000
754322111150864422310 ~2000
754336391150867278310 ~2000
754412579150882515910 ~2000
754429691150885938310 ~2000
754433917452660350310 ~2001
754460279150892055910 ~2000
754485359150897071910 ~2000
754624943150924988710 ~2000
754657103150931420710 ~2000
7547621171207619387311 ~2003
7547843571056698099911 ~2002
754810151150962030310 ~2000
754836917452902150310 ~2001
7548427931207748468911 ~2003
7548555592415537788911 ~2003
754858283150971656710 ~2000
754940881452964528710 ~2001
754983877452990326310 ~2001
755003273453001963910 ~2001
755017019151003403910 ~2000
Exponent Prime Factor Digits Year
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 ~2001
755332751151066550310 ~2000
755357951151071590310 ~2000
755377211151075442310 ~2000
755421791151084358310 ~2000
755423351151084670310 ~2000
755427983151085596710 ~2000
755437219755437219110 ~2002
755438531151087706310 ~2000
Exponent Prime Factor Digits Year
755439143151087828710 ~2000
755440403151088080710 ~2000
755459363151091872710 ~2000
755497679151099535910 ~2000
755510303151102060710 ~2000
755534963151106992710 ~2000
755541119151108223910 ~2000
755549831151109966310 ~2000
755590421453354252710 ~2001
755607623151121524710 ~2000
755609579151121915910 ~2000
755630159151126031910 ~2000
7556602911360188523911 ~2003
755667131151133426310 ~2000
7556679319068015172111 ~2005
755685851151137170310 ~2000
755709809604567847310 ~2002
7557221391813733133711 ~2003
755735699151147139910 ~2000
755748661453449196710 ~2001
7557903537860219671311 ~2005
755844731151168946310 ~2000
755845319151169063910 ~2000
755846831151169366310 ~2000
755848811151169762310 ~2000
3343
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25-04-13