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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
1117552679223510535910 ~2002
11176009731564641362311 ~2004
1117614623223522924710 ~2002
11176443011788230881711 ~2004
1117651919223530383910 ~2002
11176625711117662571111 ~2003
1117708583223541716710 ~2002
11177208533353162559111 ~2005
1117725737670635442310 ~2003
11177740014247541203911 ~2005
1117828499223565699910 ~2002
1117832003223566400710 ~2002
1117836983223567396710 ~2002
1117839119223567823910 ~2002
1117903439223580687910 ~2002
1117904363223580872710 ~2002
1117914719223582943910 ~2002
1117917173670750303910 ~2003
1117930799223586159910 ~2002
11179791891565170864711 ~2004
1117987943223597588710 ~2002
1118001041670800624710 ~2003
1118063543223612708710 ~2002
1118070851223614170310 ~2002
1118075993670845595910 ~2003
Exponent Prime Factor Digits Year
1118077319223615463910 ~2002
1118083163223616632710 ~2002
1118110079223622015910 ~2002
11181174791118117479111 ~2003
1118139443223627888710 ~2002
1118139959223627991910 ~2002
11181474911118147491111 ~2003
1118182619223636523910 ~2002
1118195633670917379910 ~2003
11182364471789178315311 ~2004
1118245679223649135910 ~2002
1118268743223653748710 ~2002
1118331719223666343910 ~2002
1118332991223666598310 ~2002
1118334599223666919910 ~2002
1118336339223667267910 ~2002
1118359499223671899910 ~2002
11183818432907792791911 ~2004
111839466113197056999912 ~2006
1118431823223686364710 ~2002
1118440679223688135910 ~2002
1118473067894778453710 ~2003
1118494031223698806310 ~2002
1118499743223699948710 ~2002
1118567423223713484710 ~2002
Exponent Prime Factor Digits Year
11186648098949318472111 ~2006
1118683451223736690310 ~2002
1118720651223744130310 ~2002
1118731199223746239910 ~2002
1118740321671244192710 ~2003
1118768999223753799910 ~2002
11187894791118789479111 ~2003
1118823323223764664710 ~2002
1118868433671321059910 ~2003
1118944679223788935910 ~2002
1118984411223796882310 ~2002
1118987783223797556710 ~2002
1119026939223805387910 ~2002
1119032231223806446310 ~2002
1119042863223808572710 ~2002
1119073859223814771910 ~2002
1119124859223824971910 ~2002
1119126083223825216710 ~2002
1119127679223825535910 ~2002
1119141311223828262310 ~2002
1119169477671501686310 ~2003
1119241043223848208710 ~2002
1119244961895395968910 ~2003
1119293303223858660710 ~2002
1119307919223861583910 ~2002
Exponent Prime Factor Digits Year
11193096017835167207111 ~2005
1119324623223864924710 ~2002
1119358403223871680710 ~2002
1119372731223874546310 ~2002
1119377711223875542310 ~2002
1119379763223875952710 ~2002
1119438821671663292710 ~2003
1119452891223890578310 ~2002
1119503653671702191910 ~2003
1119506789895605431310 ~2003
1119608537671765122310 ~2003
1119662759223932551910 ~2002
1119682463223936492710 ~2002
1119703451223940690310 ~2002
1119706811223941362310 ~2002
1119752351223950470310 ~2002
1119753143223950628710 ~2002
1119774563223954912710 ~2002
1119795359223959071910 ~2002
1119825719223965143910 ~2002
1119895571223979114310 ~2002
11198965815375503588911 ~2005
1119902963223980592710 ~2002
1119905401671943240710 ~2003
1119912203223982440710 ~2002
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25-06-08