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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
699848183139969636710 ~2000
699860347699860347110 ~2002
699862703139972540710 ~2000
699877151139975430310 ~2000
699905159559924127310 ~2002
6999206712939666818311 ~2003
699934799139986959910 ~2000
699941111139988222310 ~2000
699941279139988255910 ~2000
699948383139989676710 ~2000
699953651139990730310 ~2000
700015139140003027910 ~2000
700017557560014045710 ~2002
700022759140004551910 ~2000
700027703140005540710 ~2000
700059263140011852710 ~2000
700073123140014624710 ~2000
700077341560061872910 ~2002
700088351140017670310 ~2000
700102153420061291910 ~2001
700111679140022335910 ~2000
700226441420135864710 ~2001
700268291140053658310 ~2000
700287347560229877710 ~2002
700308457420185074310 ~2001
Exponent Prime Factor Digits Year
700353833420212299910 ~2001
7003838892101151667111 ~2003
7004428013922479685711 ~2004
700448579140089715910 ~2000
700452659560362127310 ~2002
700456511140091302310 ~2000
700476071140095214310 ~2000
7004774831681145959311 ~2003
700480661420288396710 ~2001
7004941312241581219311 ~2003
7004945411120791265711 ~2002
700500851140100170310 ~2000
700511039560408831310 ~2002
700528883140105776710 ~2000
700529051140105810310 ~2000
700530073420318043910 ~2001
700570537420342322310 ~2001
700621139140124227910 ~2000
700632623140126524710 ~2000
7006408871261153596711 ~2002
700662923140132584710 ~2000
700670969560536775310 ~2002
700684079140136815910 ~2000
700689611140137922310 ~2000
700711103140142220710 ~2000
Exponent Prime Factor Digits Year
7007495871681799008911 ~2003
700757471140151494310 ~2000
700791011140158202310 ~2000
700795321420477192710 ~2001
700806913420484147910 ~2001
700840103140168020710 ~2000
700857803140171560710 ~2000
70088721712195437575912 ~2005
700895003140179000710 ~2000
700899659140179931910 ~2000
700922279140184455910 ~2000
700946021420567612710 ~2001
700957739140191547910 ~2000
700958183140191636710 ~2000
700968731140193746310 ~2000
700978643140195728710 ~2000
700981691140196338310 ~2000
700983791140196758310 ~2000
700984643140196928710 ~2000
700993511140198702310 ~2000
700998839140199767910 ~2000
701003003140200600710 ~2000
701078123140215624710 ~2000
701093111140218622310 ~2000
701098337420659002310 ~2001
Exponent Prime Factor Digits Year
7011416992944795135911 ~2003
701170751140234150310 ~2000
701188513420713107910 ~2001
7011930491682863317711 ~2003
701199659140239931910 ~2000
701221691560977352910 ~2002
701226203140245240710 ~2000
701234759560987807310 ~2002
701263151140252630310 ~2000
701281859140256371910 ~2000
701297609561038087310 ~2002
701330411140266082310 ~2000
701350679140270135910 ~2000
701373719140274743910 ~2000
701376419140275283910 ~2000
701377871140275574310 ~2000
701378591140275718310 ~2000
701379323140275864710 ~2000
701379443140275888710 ~2000
701406821561125456910 ~2002
7014221992945973235911 ~2003
701426051140285210310 ~2000
701459959701459959110 ~2002
701473631140294726310 ~2000
701499833420899899910 ~2001
3551
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25-11-02