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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
1752379199350475839910 ~2003
1752412223350482444710 ~2003
17524191131051451467911 ~2004
1752461723350492344710 ~2003
17525031611051501896711 ~2004
1752566723350513344710 ~2003
1752587423350517484710 ~2003
1752662519350532503910 ~2003
1752772019350554403910 ~2003
17528169171051690150311 ~2004
17528804271402304341711 ~2005
1752934919350586983910 ~2003
1753083803350616760710 ~2003
1753144691350628938310 ~2003
1753164683350632936710 ~2003
1753259639350651927910 ~2003
17532742971051964578311 ~2004
1753293299350658659910 ~2003
1753300403350660080710 ~2003
17533046691402643735311 ~2005
1753328579350665715910 ~2003
1753371419350674283910 ~2003
1753419971350683994310 ~2003
1753435451350687090310 ~2003
17534358771052061526311 ~2004
Exponent Prime Factor Digits Year
17534379011052062740711 ~2004
17534688772454856427911 ~2005
1753476299350695259910 ~2003
17534873571052092414311 ~2004
17535160571052109634311 ~2004
1753530371350706074310 ~2003
1753548119350709623910 ~2003
17535486611052129196711 ~2004
1753580303350716060710 ~2003
1753588883350717776710 ~2003
17537002191402960175311 ~2005
1753735559350747111910 ~2003
1753785023350757004710 ~2003
17537872211052272332711 ~2004
17538062271403044981711 ~2005
17538346015261503803111 ~2006
17540327334209678559311 ~2006
1754038283350807656710 ~2003
1754045339350809067910 ~2003
1754111423350822284710 ~2003
17541608171052496490311 ~2004
1754166971350833394310 ~2003
1754227379350845475910 ~2003
17543097371052585842311 ~2004
17543139411403451152911 ~2005
Exponent Prime Factor Digits Year
17543627413859598030311 ~2006
1754386103350877220710 ~2003
1754388539350877707910 ~2003
1754392043350878408710 ~2003
17544028994210566957711 ~2006
17544059113157930639911 ~2006
1754450123350890024710 ~2003
17544813191754481319111 ~2005
17544947331052696839911 ~2004
1754534003350906800710 ~2003
17545371771403629741711 ~2005
17545449411403635952911 ~2005
17545514575263654371111 ~2006
17545704011052742240711 ~2004
1754589719350917943910 ~2003
1754611571350922314310 ~2003
1754656703350931340710 ~2003
1754663411350932682310 ~2003
17546838711403747096911 ~2005
1754742851350948570310 ~2003
1754760071350952014310 ~2003
1754763539350952707910 ~2003
1754781659350956331910 ~2003
1754832671350966534310 ~2003
17548644671754864467111 ~2005
Exponent Prime Factor Digits Year
17548748091403899847311 ~2005
1754923883350984776710 ~2003
1755042431351008486310 ~2003
17550586371053035182311 ~2004
1755088259351017651910 ~2003
1755134939351026987910 ~2003
1755159803351031960710 ~2003
1755165803351033160710 ~2003
1755171251351034250310 ~2003
17551808572457253199911 ~2005
17551942812808310849711 ~2005
17552011011053120660711 ~2004
1755236603351047320710 ~2003
17552428697020971476111 ~2006
1755264323351052864710 ~2003
17553412991755341299111 ~2005
175536703910181128826312 ~2007
1755404219351080843910 ~2003
1755428399351085679910 ~2003
1755510479351102095910 ~2003
1755511151351102230310 ~2003
175553638110884325562312 ~2007
1755547259351109451910 ~2003
1755577679351115535910 ~2003
17556211371404496909711 ~2005
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26-07-05