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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
1753580303350716060710 ~2003
1753588883350717776710 ~2003
17537002191402960175311 ~2005
1753735559350747111910 ~2003
1753785023350757004710 ~2003
17538062271403044981711 ~2005
17538346015261503803111 ~2006
17540327334209678559311 ~2006
1754038283350807656710 ~2003
1754045339350809067910 ~2003
1754111423350822284710 ~2003
17541608171052496490311 ~2004
1754166971350833394310 ~2003
1754227379350845475910 ~2003
17543097371052585842311 ~2004
1754386103350877220710 ~2003
1754392043350878408710 ~2003
17544028994210566957711 ~2006
17544059113157930639911 ~2006
17544813191754481319111 ~2005
17544947331052696839911 ~2004
1754534003350906800710 ~2003
17545371771403629741711 ~2005
17545449411403635952911 ~2005
17545514575263654371111 ~2006
Exponent Prime Factor Digits Year
17545704011052742240711 ~2004
1754589719350917943910 ~2003
1754611571350922314310 ~2003
1754656703350931340710 ~2003
1754663411350932682310 ~2003
17546838711403747096911 ~2005
1754742851350948570310 ~2003
1754760071350952014310 ~2003
1754763539350952707910 ~2003
1754781659350956331910 ~2003
1754832671350966534310 ~2003
17548644671754864467111 ~2005
17548748091403899847311 ~2005
1754923883350984776710 ~2003
1755042431351008486310 ~2003
1755088259351017651910 ~2003
1755134939351026987910 ~2003
1755159803351031960710 ~2003
1755165803351033160710 ~2003
17551808572457253199911 ~2005
17551942812808310849711 ~2005
17552011011053120660711 ~2004
1755264323351052864710 ~2003
17553412991755341299111 ~2005
175536703910181128826312 ~2007
Exponent Prime Factor Digits Year
1755404219351080843910 ~2003
1755428399351085679910 ~2003
1755510479351102095910 ~2003
1755511151351102230310 ~2003
175553638110884325562312 ~2007
1755547259351109451910 ~2003
17556211371404496909711 ~2005
1755670379351134075910 ~2003
1755676823351135364710 ~2003
17557051093862551239911 ~2006
17557192011404575360911 ~2005
1755778679351155735910 ~2003
1755820691351164138310 ~2003
17558696393160565350311 ~2006
1755896591351179318310 ~2003
1755941783351188356710 ~2003
1755964043351192808710 ~2003
1756115771351223154310 ~2003
1756123823351224764710 ~2003
1756138679351227735910 ~2003
1756169171351233834310 ~2003
17561696211404935696911 ~2005
17562593172810014907311 ~2005
1756269143351253828710 ~2003
1756319783351263956710 ~2003
Exponent Prime Factor Digits Year
1756342559351268511910 ~2003
1756354343351270868710 ~2003
17563838771053830326311 ~2004
17564091135269227339111 ~2006
1756411439351282287910 ~2003
1756417571351283514310 ~2003
1756431119351286223910 ~2003
17564645531053878731911 ~2004
17564868892459081644711 ~2005
1756610903351322180710 ~2003
17566376691405310135311 ~2005
1756735199351347039910 ~2003
1756737011351347402310 ~2003
1756835543351367108710 ~2003
1756969199351393839910 ~2003
1757055719351411143910 ~2003
1757194823351438964710 ~2003
1757316383351463276710 ~2003
17573986093866276939911 ~2006
17573989611405919168911 ~2005
1757443151351488630310 ~2003
17574478498435749675311 ~2007
1757449703351489940710 ~2003
1757541083351508216710 ~2003
1757651279351530255910 ~2003
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