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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
859394219171878843910 ~2001
859396931171879386310 ~2001
859398719171879743910 ~2001
859399043171879808710 ~2001
859424339171884867910 ~2001
859430459171886091910 ~2001
859440479171888095910 ~2001
859451903171890380710 ~2001
859593557687674845710 ~2002
859608143171921628710 ~2001
859612679171922535910 ~2001
859615331171923066310 ~2001
8596206771203468947911 ~2003
859696811171939362310 ~2001
859729439171945887910 ~2001
859740911171948182310 ~2001
859779803171955960710 ~2001
859898939171979787910 ~2001
859901951171980390310 ~2001
859915883171983176710 ~2001
859922879687938303310 ~2002
859924343171984868710 ~2001
859930391171986078310 ~2001
859945451171989090310 ~2001
859985699171997139910 ~2001
Exponent Prime Factor Digits Year
859993273515995963910 ~2002
860044019172008803910 ~2001
860149571172029914310 ~2001
860156483172031296710 ~2001
860166739860166739110 ~2002
860194331688155464910 ~2002
860197823172039564710 ~2001
860251837516151102310 ~2002
860277191172055438310 ~2001
860301419172060283910 ~2001
860321687688257349710 ~2002
860336219172067243910 ~2001
8603556191548640114311 ~2003
860363279172072655910 ~2001
860405831172081166310 ~2001
860419643172083928710 ~2001
860426531172085306310 ~2001
860433419172086683910 ~2001
860435183172087036710 ~2001
860440463172088092710 ~2001
8604839471376774315311 ~2003
860492579172098515910 ~2001
860498363172099672710 ~2001
860502983172100596710 ~2001
8605183971204725755911 ~2003
Exponent Prime Factor Digits Year
860526437688421149710 ~2002
8605696636196101573711 ~2005
860580839172116167910 ~2001
860617871172123574310 ~2001
860617991688494392910 ~2002
860674943172134988710 ~2001
860694539172138907910 ~2001
860703419172140683910 ~2001
860725139172145027910 ~2001
860728663860728663110 ~2002
860760143172152028710 ~2001
860763119172152623910 ~2001
860767619172153523910 ~2001
860864783172172956710 ~2001
860873963172174792710 ~2001
860877599172175519910 ~2001
860884393516530635910 ~2002
860903159688722527310 ~2002
860917511172183502310 ~2001
860936849688749479310 ~2002
860959691172191938310 ~2001
860967791172193558310 ~2001
860993999172198799910 ~2001
860997491172199498310 ~2001
861061583172212316710 ~2001
Exponent Prime Factor Digits Year
861098351172219670310 ~2001
8611438491205601388711 ~2003
8611467071377834731311 ~2003
861166283172233256710 ~2001
861286091172257218310 ~2001
861290603172258120710 ~2001
861322439172264487910 ~2001
861334403172266880710 ~2001
861338237516802942310 ~2002
8613532931894977244711 ~2003
861379391172275878310 ~2001
861431303172286260710 ~2001
861480143172296028710 ~2001
861505979172301195910 ~2001
861511583172302316710 ~2001
861517271172303454310 ~2001
861563123172312624710 ~2001
861605579172321115910 ~2001
861623111172324622310 ~2001
861650411172330082310 ~2001
8616507197582526327311 ~2005
861654421516992652710 ~2002
861705599172341119910 ~2001
861753869689403095310 ~2002
8617759872930038355911 ~2004
3466
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25-06-08