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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
2250204503450040900710 ~2004
2250223511450044702310 ~2004
2250232199450046439910 ~2004
22502880371350172822311 ~2005
2250386459450077291910 ~2004
2250540863450108172710 ~2004
2250620363450124072710 ~2004
22506252171800500173711 ~2006
2250628463450125692710 ~2004
225065776320255919867112 ~2008
22507225971800578077711 ~2006
2250742391450148478310 ~2004
22508455011350507300711 ~2005
2250915143450183028710 ~2004
225091797150870746144712 ~2009
2250949271450189854310 ~2004
2250974723450194944710 ~2004
22509771711800781736911 ~2006
22509792611350587556711 ~2005
22510336371350620182311 ~2005
2251076039450215207910 ~2004
2251328543450265708710 ~2004
22513477135403234511311 ~2007
2251357859450271571910 ~2004
2251434239450286847910 ~2004
Exponent Prime Factor Digits Year
2251691483450338296710 ~2004
22516956131351017367911 ~2005
22517191331351031479911 ~2005
22517531511801402520911 ~2006
2251817591450363518310 ~2004
22518557211801484576911 ~2006
2251856531450371306310 ~2004
22520744595404978701711 ~2007
22521629511801730360911 ~2006
2252229971450445994310 ~2004
2252293643450458728710 ~2004
2252377139450475427910 ~2004
2252383883450476776710 ~2004
2252443631450488726310 ~2004
2252469203450493840710 ~2004
2252480003450496000710 ~2004
2252494571450498914310 ~2004
2252496791450499358310 ~2004
22525003811351500228711 ~2005
2252509943450501988710 ~2004
2252549483450509896710 ~2004
22526569971351594198311 ~2005
2252690339450538067910 ~2004
2252744999450548999910 ~2004
22527538731351652323911 ~2005
Exponent Prime Factor Digits Year
2252845739450569147910 ~2004
22529423114055296159911 ~2006
2252982971450596594310 ~2004
2253069359450613871910 ~2004
2253252671450650534310 ~2004
2253327623450665524710 ~2004
2253472691450694538310 ~2004
22534983072253498307111 ~2006
2253520931450704186310 ~2004
2253543359450708671910 ~2004
2253554111450710822310 ~2004
2253646331450729266310 ~2004
22536712814958076818311 ~2007
22537074411352224464711 ~2005
2253712211450742442310 ~2004
22537165936761149779111 ~2007
2254007663450801532710 ~2004
2254014443450802888710 ~2004
22541056992254105699111 ~2006
2254107071450821414310 ~2004
2254148639450829727910 ~2004
2254249163450849832710 ~2004
2254258739450851747910 ~2004
2254267919450853583910 ~2004
22544809513607169521711 ~2006
Exponent Prime Factor Digits Year
2254493291450898658310 ~2004
22545822171352749330311 ~2005
22546377891803710231311 ~2006
2254645199450929039910 ~2004
22546505691803720455311 ~2006
2254844723450968944710 ~2004
2254868351450973670310 ~2004
2254869731450973946310 ~2004
225492671910823648251312 ~2007
22549473131352968387911 ~2005
2254967399450993479910 ~2004
2255041703451008340710 ~2004
2255237279451047455910 ~2004
22552978811353178728711 ~2005
22553556291804284503311 ~2006
22554650331353279019911 ~2005
2255491079451098215910 ~2004
2255518679451103735910 ~2004
2255605559451121111910 ~2004
2255615291451123058310 ~2004
2255648639451129727910 ~2004
22557292392255729239111 ~2006
22557403819022961524111 ~2007
2255769311451153862310 ~2004
22558913571353534814311 ~2005
3769
GIMPS The Prime Pages FactorDb.com
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25-04-13