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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
699296063139859212710 ~2000
699311111139862222310 ~2000
699328691139865738310 ~2000
699374657419624794310 ~2001
699374783139874956710 ~2000
699385397559508317710 ~2002
699394799139878959910 ~2000
699399599559519679310 ~2002
699410051139882010310 ~2000
699416831139883366310 ~2000
699466213419679727910 ~2001
699493979139898795910 ~2000
699500521419700312710 ~2001
699524459139904891910 ~2000
699555299139911059910 ~2000
699564539139912907910 ~2000
699573577419744146310 ~2001
699582599139916519910 ~2000
699610811139922162310 ~2000
699622223139924444710 ~2000
699639719139927943910 ~2000
699645613419787367910 ~2001
699658879699658879110 ~2002
699662423139932484710 ~2000
699688211139937642310 ~2000
Exponent Prime Factor Digits Year
699688337559750669710 ~2002
699693779139938755910 ~2000
699694379139938875910 ~2000
699702539139940507910 ~2000
699729599139945919910 ~2000
699757763139951552710 ~2000
699759779139951955910 ~2000
699760871139952174310 ~2000
699782351139956470310 ~2000
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
Exponent Prime Factor Digits Year
700073123140014624710 ~2000
700077341560061872910 ~2002
700088351140017670310 ~2000
700102153420061291910 ~2001
700111679140022335910 ~2000
700226441420135864710 ~2001
700268291140053658310 ~2000
700287347560229877710 ~2002
700308457420185074310 ~2001
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
Exponent Prime Factor Digits Year
700570537420342322310 ~2001
700621139140124227910 ~2000
700632623140126524710 ~2000
7006408871261153596711 ~2002
700662923140132584710 ~2000
700670969560536775310 ~2002
700684079140136815910 ~2000
700689611140137922310 ~2000
700711103140142220710 ~2000
7007495871681799008911 ~2003
700791011140158202310 ~2000
700795321420477192710 ~2001
700806913420484147910 ~2001
700840103140168020710 ~2000
700857803140171560710 ~2000
70088721712195437575912 ~2005
700895003140179000710 ~2000
700899659140179931910 ~2000
700946021420567612710 ~2001
700958183140191636710 ~2000
700968731140193746310 ~2000
700978643140195728710 ~2000
700981691140196338310 ~2000
700984643140196928710 ~2000
700993511140198702310 ~2000
3379
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25-06-08