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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
696312521417787512710 ~2001
696329477557063581710 ~2002
696332459139266491910 ~2000
696335231139267046310 ~2000
696432799696432799110 ~2002
696441419139288283910 ~2000
696449947696449947110 ~2002
696454259139290851910 ~2000
696463127557170501710 ~2002
696481403139296280710 ~2000
696484571139296914310 ~2000
696488459139297691910 ~2000
696488843139297768710 ~2000
696533489557226791310 ~2002
696539101417923460710 ~2001
696539699557231759310 ~2002
696558211696558211110 ~2002
696559499139311899910 ~2000
696565019557252015310 ~2002
696625763139325152710 ~2000
696669023139333804710 ~2000
696679079139335815910 ~2000
696680063139336012710 ~2000
696711971139342394310 ~2000
696712223139342444710 ~2000
Exponent Prime Factor Digits Year
696764459139352891910 ~2000
696771563139354312710 ~2000
696787859139357571910 ~2000
696813703696813703110 ~2002
696815543139363108710 ~2000
696816521418089912710 ~2001
696848129557478503310 ~2002
696878531139375706310 ~2000
696951383139390276710 ~2000
697046123139409224710 ~2000
697069883139413976710 ~2000
697095901418257540710 ~2001
697098091697098091110 ~2002
697099631139419926310 ~2000
697232771139446554310 ~2000
697311479139462295910 ~2000
697316377418389826310 ~2001
697329173418397503910 ~2001
697329683139465936710 ~2000
697336823139467364710 ~2000
697340123139468024710 ~2000
697345079139469015910 ~2000
697355471139471094310 ~2000
697357091139471418310 ~2000
697367543139473508710 ~2000
Exponent Prime Factor Digits Year
6973716734881601711111 ~2004
697372163139474432710 ~2000
697381103139476220710 ~2000
697396391139479278310 ~2000
697428863139485772710 ~2000
697436903139487380710 ~2000
697461463697461463110 ~2002
697475423139495084710 ~2000
697522883139504576710 ~2000
697523279139504655910 ~2000
697556477418533886310 ~2001
697615511139523102310 ~2000
697666433976733006310 ~2002
697694111139538822310 ~2000
697700579139540115910 ~2000
697706699139541339910 ~2000
697750211139550042310 ~2000
697757891139551578310 ~2000
697791343697791343110 ~2002
6978079331674739039311 ~2003
697826663139565332710 ~2000
697837799139567559910 ~2000
697881937418729162310 ~2001
697889039139577807910 ~2000
6979200011535424002311 ~2003
Exponent Prime Factor Digits Year
697956631697956631110 ~2002
697959841418775904710 ~2001
697959979697959979110 ~2002
697975379558380303310 ~2002
697983371139596674310 ~2000
697997831139599566310 ~2000
698013781418808268710 ~2001
698034839139606967910 ~2000
698075663139615132710 ~2000
698082221418849332710 ~2001
698113379139622675910 ~2000
698136899139627379910 ~2000
6981378312792551324111 ~2003
698175743139635148710 ~2000
698176091139635218310 ~2000
698198723139639744710 ~2000
6982010892094603267111 ~2003
698223671139644734310 ~2000
698259521558607616910 ~2002
6982619531117219124911 ~2002
6982743611536203594311 ~2003
698359331139671866310 ~2000
698362523139672504710 ~2000
698423003139684600710 ~2000
698441077419064646310 ~2001
3549
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25-11-02