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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
759092783151818556710 ~2000
759114299151822859910 ~2000
759114823759114823110 ~2002
759169921455501952710 ~2002
759172763151834552710 ~2000
759174551151834910310 ~2000
759252491151850498310 ~2000
759254579151850915910 ~2000
7592677391822242573711 ~2003
759336023151867204710 ~2000
759350303151870060710 ~2000
759355043151871008710 ~2000
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
Exponent Prime Factor Digits Year
759730931607784744910 ~2002
759734903151946980710 ~2000
759749141455849484710 ~2002
759753857607803085710 ~2002
759755879151951175910 ~2000
759766691151953338310 ~2000
759795479151959095910 ~2000
759821099151964219910 ~2000
759826811607861448910 ~2002
759844273455906563910 ~2002
759866543151973308710 ~2000
759866963151973392710 ~2000
759869531151973906310 ~2000
7599045491823770917711 ~2003
759942923151988584710 ~2000
759950183151990036710 ~2000
759961799151992359910 ~2000
7599661871367939136711 ~2003
759984763759984763110 ~2002
760002839152000567910 ~2000
760006823152001364710 ~2000
760024679152004935910 ~2000
7600339791824081549711 ~2003
760064099152012819910 ~2000
760087271152017454310 ~2000
Exponent Prime Factor Digits Year
760090283152018056710 ~2000
760092383152018476710 ~2000
760092539608074031310 ~2002
760115711608092568910 ~2002
760138091152027618310 ~2000
7601478134104798190311 ~2004
760171151152034230310 ~2000
760187503760187503110 ~2002
760194251152038850310 ~2000
760194251608155400910
760233011152046602310 ~2000
760245383152049076710 ~2000
760259561456155736710 ~2002
760275203152055040710 ~2000
760278671152055734310 ~2000
760285661456171396710 ~2002
760305011152061002310 ~2000
760313303152062660710 ~2000
760320941456192564710 ~2002
760321151152064230310 ~2000
760323923152064784710 ~2000
760345643152069128710 ~2000
760379561456227736710 ~2002
760385399152077079910 ~2000
760387091152077418310 ~2000
Exponent Prime Factor Digits Year
760403951152080790310 ~2000
760405181608324144910 ~2002
760440797456264478310 ~2002
760471717456283030310 ~2002
760475531152095106310 ~2000
760503251152100650310 ~2000
760503833456302299910 ~2002
760508653456305191910 ~2002
760551611152110322310 ~2000
760567679152113535910 ~2000
760580759152116151910 ~2000
760597829608478263310 ~2002
760607579152121515910 ~2000
760626959152125391910 ~2000
760638551152127710310 ~2000
760662011152132402310 ~2000
760666019152133203910 ~2000
760685117608548093710 ~2002
760719551152143910310 ~2000
760723391608578712910 ~2002
7607276331065018686311 ~2002
760740137608592109710 ~2002
760750811152150162310 ~2000
760754051152150810310 ~2000
760759271152151854310 ~2000
3587
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25-11-02