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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
8694785272260644170311 ~2004
869481803173896360710 ~2001
869487011173897402310 ~2001
869504123173900824710 ~2001
869516159173903231910 ~2001
8695163413478065364111 ~2004
869573291173914658310 ~2001
8695825094173996043311 ~2004
869592683173918536710 ~2001
869600573521760343910 ~2002
8696219232956714538311 ~2004
869633987695707189710 ~2002
8696521913652539202311 ~2004
86966346130612153827312 ~2006
869668511173933702310 ~2001
869669057521801434310 ~2002
8696842132087242111311 ~2003
869718191173943638310 ~2001
869789579173957915910 ~2001
869797343173959468710 ~2001
8698074733479229892111 ~2004
8698129031391700644911 ~2003
869812943173962588710 ~2001
869821391173964278310 ~2001
869822423173964484710 ~2001
Exponent Prime Factor Digits Year
869823191173964638310 ~2001
869848439173969687910 ~2001
8698498732783519593711 ~2004
869852213521911327910 ~2002
8698604772087665144911 ~2003
8699142712261777104711 ~2004
869951891173990378310 ~2001
869964911173992982310 ~2001
869965979173993195910 ~2001
869986571173997314310 ~2001
869991623173998324710 ~2001
870072851174014570310 ~2001
870094193522056515910 ~2002
870124537522074722310 ~2002
870130571174026114310 ~2001
870132143174026428710 ~2001
870150971174030194310 ~2001
870152183174030436710 ~2001
870167351174033470310 ~2001
870187931174037586310 ~2001
870194579174038915910 ~2001
870209579174041915910 ~2001
870218963174043792710 ~2001
870227221522136332710 ~2002
870230423174046084710 ~2001
Exponent Prime Factor Digits Year
870264959174052991910 ~2001
870266231174053246310 ~2001
870272999696218399310 ~2002
870305099174061019910 ~2001
870310079174062015910 ~2001
870338951174067790310 ~2001
870356537696285229710 ~2002
870365773522219463910 ~2002
870372131174074426310 ~2001
870382321522229392710 ~2002
870382679174076535910 ~2001
870398909696319127310 ~2002
870438871870438871110 ~2003
870445571174089114310 ~2001
870462503174092500710 ~2001
8704668531218653594311 ~2003
870472103174094420710 ~2001
870521243174104248710 ~2001
870521339174104267910 ~2001
870526367696421093710 ~2002
870560231174112046310 ~2001
870582029696465623310 ~2002
870586679174117335910 ~2001
870674111174134822310 ~2001
870684263174136852710 ~2001
Exponent Prime Factor Digits Year
870691847696553477710 ~2002
870695537522417322310 ~2002
870719159174143831910 ~2001
870796211174159242310 ~2001
870944471174188894310 ~2001
870957931870957931110 ~2003
870969791174193958310 ~2001
871024403174204880710 ~2001
871025579174205115910 ~2001
871026011174205202310 ~2001
871062551174212510310 ~2001
871084477522650686310 ~2002
871084943174216988710 ~2001
871086691871086691110 ~2003
871099331174219866310 ~2001
871112321522667392710 ~2002
8711220731916468560711 ~2003
8711314331916489152711 ~2003
871148303174229660710 ~2001
871149131174229826310 ~2001
871199159174239831910 ~2001
871225559174245111910 ~2001
8712679792788057532911 ~2004
8712732111568291779911 ~2003
871273981522764388710 ~2002
3732
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26-01-11