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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
2735858483547171696710 ~2005
2735914211547182842310 ~2005
27359833571641590014311 ~2006
2736118523547223704710 ~2005
2736130139547226027910 ~2005
2736368711547273742310 ~2005
2736420143547284028710 ~2005
2736449363547289872710 ~2005
273645726124080823896912 ~2009
27364940512189195240911 ~2006
2736512039547302407910 ~2005
2736594923547318984710 ~2005
2736673763547334752710 ~2005
27367639992736763999111 ~2006
27368788216021133406311 ~2007
27369799971642187998311 ~2006
27370443076568906336911 ~2007
27370887731642253263911 ~2006
27371148411642268904711 ~2006
27371773672189741893711 ~2006
2737188851547437770310 ~2005
2737226879547445375910 ~2005
2737351559547470311910 ~2005
273738248914781865440712 ~2008
2737546943547509388710 ~2005
Exponent Prime Factor Digits Year
27375583792190046703311 ~2006
2737693463547538692710 ~2005
2737704251547540850310 ~2005
27377052611642623156711 ~2006
2737842011547568402310 ~2005
27378873074380619691311 ~2007
27378989572190319165711 ~2006
2737925999547585199910 ~2005
2737991099547598219910 ~2005
27380777992190462239311 ~2006
27380925292190474023311 ~2006
2738142971547628594310 ~2005
2738171951547634390310 ~2005
2738275679547655135910 ~2005
27382846914928912443911 ~2007
27383227011642993620711 ~2006
2738388431547677686310 ~2005
2738446871547689374310 ~2005
2738449331547689866310 ~2005
2738453699547690739910 ~2005
2738491523547698304710 ~2005
2738503571547700714310 ~2005
273869172724100487197712 ~2009
2738694011547738802310 ~2005
2738721143547744228710 ~2005
Exponent Prime Factor Digits Year
2738919791547783958310 ~2005
273892903118076931604712 ~2008
27389633171643377990311 ~2006
2739082163547816432710 ~2005
2739105923547821184710 ~2005
2739240239547848047910 ~2005
2739255971547851194310 ~2005
2739258143547851628710 ~2005
2739367271547873454310 ~2005
27394503611643670216711 ~2006
27395763771643745826311 ~2006
2739576659547915331910 ~2005
2739591839547918367910 ~2005
273960217910958408716112 ~2008
27396175992739617599111 ~2006
2739659243547931848710 ~2005
27397820992191825679311 ~2006
273991260110959650404112 ~2008
2739916703547983340710 ~2005
2739952031547990406310 ~2005
273996445910959857836112 ~2008
2740086983548017396710 ~2005
2740130411548026082310 ~2005
274017636717537128748912 ~2008
2740255019548051003910 ~2005
Exponent Prime Factor Digits Year
2740346099548069219910 ~2005
2740356299548071259910 ~2005
2740442543548088508710 ~2005
2740563491548112698310 ~2005
2740564163548112832710 ~2005
27407620211644457212711 ~2006
2740824503548164900710 ~2005
27408799131644527947911 ~2006
2740898291548179658310 ~2005
2740922423548184484710 ~2005
2741251739548250347910 ~2005
2741277743548255548710 ~2005
2741296583548259316710 ~2005
2741406023548281204710 ~2005
2741414783548282956710 ~2005
2741420579548284115910 ~2005
2741625563548325112710 ~2005
2741885963548377192710 ~2005
2742064499548412899910 ~2005
2742107363548421472710 ~2005
27421367571645282054311 ~2006
2742198191548439638310 ~2005
27425290611645517436711 ~2006
27425955914936672063911 ~2007
2742608663548521732710 ~2005
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25-04-13