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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
758230477454938286310 ~2002
758240663151648132710 ~2000
7582819192426502140911 ~2003
758299021454979412710 ~2002
758320991151664198310 ~2000
758330291151666058310 ~2000
758339297455003578310 ~2002
758345051151669010310 ~2000
758379131151675826310 ~2000
7583798833033519532111 ~2004
758403539151680707910 ~2000
758448539151689707910 ~2000
758452823151690564710 ~2000
758471891151694378310 ~2000
758487683151697536710 ~2000
758496521455097912710 ~2002
758517491151703498310 ~2000
758545019151709003910 ~2000
7585893233186075156711 ~2004
758614823151722964710 ~2000
758644751151728950310 ~2000
758681471151736294310 ~2000
7586851491820844357711 ~2003
7587101591820904381711 ~2003
758726141455235684710 ~2002
Exponent Prime Factor Digits Year
758770841455262504710 ~2002
758789231151757846310 ~2000
758856239151771247910 ~2000
758875079151775015910 ~2000
758882843151776568710 ~2000
758912471151782494310 ~2000
758946239151789247910 ~2000
759010589607208471310 ~2002
7590179331062625106311 ~2002
759047279151809455910 ~2000
759069659151813931910 ~2000
759089393455453635910 ~2002
759092231151818446310 ~2000
759092783151818556710 ~2000
759114299151822859910 ~2000
759114823759114823110 ~2002
759169921455501952710 ~2002
759172763151834552710 ~2000
759174551151834910310 ~2000
759252491151850498310 ~2000
759254579151850915910 ~2000
7592677391822242573711 ~2003
759336023151867204710 ~2000
759350303151870060710 ~2000
759355043151871008710 ~2000
Exponent Prime Factor Digits Year
759375059151875011910 ~2000
759424657455654794310 ~2002
759492551151898510310 ~2000
759525419151905083910 ~2000
759543203151908640710 ~2000
759554879151910975910 ~2000
759569983759569983110 ~2002
759595679607676543310 ~2002
7596036674405701268711 ~2004
7596351712430832547311 ~2003
759692123151938424710 ~2000
759700163151940032710 ~2000
759715991151943198310 ~2000
759730931607784744910 ~2002
759734903151946980710 ~2000
759749141455849484710 ~2002
759755879151951175910 ~2000
759766691151953338310 ~2000
759795479151959095910 ~2000
759821099151964219910 ~2000
759826811607861448910 ~2002
759844273455906563910 ~2002
759866543151973308710 ~2000
759866963151973392710 ~2000
759869531151973906310 ~2000
Exponent Prime Factor Digits Year
7599045491823770917711 ~2003
759942923151988584710 ~2000
759950183151990036710 ~2000
759961799151992359910 ~2000
7599661871367939136711 ~2003
759984763759984763110 ~2002
760002839152000567910 ~2000
760006823152001364710 ~2000
760024679152004935910 ~2000
7600339791824081549711 ~2003
760064099152012819910 ~2000
760087271152017454310 ~2000
760090283152018056710 ~2000
760092383152018476710 ~2000
760092539608074031310 ~2002
760138091152027618310 ~2000
7601478134104798190311 ~2004
760171151152034230310 ~2000
760187503760187503110 ~2002
760194251152038850310 ~2000
760194251608155400910
760233011152046602310 ~2000
760245383152049076710 ~2000
760259561456155736710 ~2002
760278671152055734310 ~2000
3446
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25-07-08