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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
3448179323689635864710 ~2005
3448193579689638715910 ~2005
3448500383689700076710 ~2005
34485607572069136454311 ~2007
3448566659689713331910 ~2005
3448827419689765483910 ~2005
3448924103689784820710 ~2005
344909795927592783672112 ~2009
3449108339689821667910 ~2005
3449153639689830727910 ~2005
3449154563689830912710 ~2005
34492354875518776779311 ~2008
34494495292759559623311 ~2007
34495181812759614544911 ~2007
3449682779689936555910 ~2005
3449753063689950612710 ~2005
34499421172069965270311 ~2007
34499671732069980303911 ~2007
3449996111689999222310 ~2005
3450413399690082679910 ~2005
3450498599690099719910 ~2005
3450564503690112900710 ~2005
3450921839690184367910 ~2005
3450954323690190864710 ~2005
34510568812070634128711 ~2007
Exponent Prime Factor Digits Year
3451129943690225988710 ~2005
3451330859690266171910 ~2005
34513611012070816660711 ~2007
3451580651690316130310 ~2005
3451611491690322298310 ~2005
34516989615522718337711 ~2008
34517557732071053463911 ~2007
3452102411690420482310 ~2005
3452182091690436418310 ~2005
3452267939690453587910 ~2005
3452362691690472538310 ~2005
34525387072762030965711 ~2007
34525707112762056568911 ~2007
34526607732071596463911 ~2007
34527251412071635084711 ~2007
34527268033452726803111 ~2007
3452842643690568528710 ~2005
3452934983690586996710 ~2005
3453049091690609818310 ~2005
3453068999690613799910 ~2005
34530808672762464693711 ~2007
3453085379690617075910 ~2005
34531298537596885676711 ~2008
3453135431690627086310 ~2005
3453141299690628259910 ~2005
Exponent Prime Factor Digits Year
3453168539690633707910 ~2005
34532241675525158667311 ~2008
3453366359690673271910 ~2005
34534182612072050956711 ~2007
3453471299690694259910 ~2005
345351776322793217235912 ~2009
34536175132072170507911 ~2007
3453667859690733571910 ~2005
3453730811690746162310 ~2005
3453821411690764282310 ~2005
3453916223690783244710 ~2005
34539218715526274993711 ~2008
3453987983690797596710 ~2005
3454092923690818584710 ~2005
3454147211690829442310 ~2005
3454156703690831340710 ~2005
3454446119690889223910 ~2005
3454511471690902294310 ~2005
34546455412072787324711 ~2007
34547142592763771407311 ~2007
3454757951690951590310 ~2005
3454865231690973046310 ~2005
345493018322111553171312 ~2009
3454959251690991850310 ~2005
34550476378292114328911 ~2008
Exponent Prime Factor Digits Year
3455121563691024312710 ~2005
3455215343691043068710 ~2005
345547630110366428903112 ~2008
3455484911691096982310 ~2005
345566452910366993587112 ~2008
3455699519691139903910 ~2005
34557777772764622221711 ~2007
3455896583691179316710 ~2005
3455989079691197815910 ~2005
34560267675529642827311 ~2008
34561155435529784868911 ~2008
3456297431691259486310 ~2005
3456491939691298387910 ~2005
34564964532073897871911 ~2007
3456746483691349296710 ~2005
3456858539691371707910 ~2005
34570142512765611400911 ~2007
34571362972074281778311 ~2007
34571369094839991672711 ~2008
34571486572074289194311 ~2007
3457299563691459912710 ~2005
34573137112765850968911 ~2007
3457531019691506203910 ~2005
3457625939691525187910 ~2005
3457642511691528502310 ~2005
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25-06-01