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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
449016221269409732710 ~2000
449027861269416716710 ~2000
449032021987870446310 ~2001
4490419198980838399 ~1999
449044831449044831110 ~2000
4490638331347191499111 ~2001
449081951359265560910 ~2000
4490880238981760479 ~1999
4490907118981814239 ~1999
4490914636916008530311 ~2003
449095333718552532910 ~2001
4491047518982095039 ~1999
4491089292155722859311 ~2002
4491167998982335999 ~1999
4491372598982745199 ~1999
449148461269489076710 ~2000
449151191808472143910 ~2001
449157479359325983310 ~2000
4491598918983197839 ~1999
4491696838983393679 ~1999
4491712798983425599 ~1999
4491765718983531439 ~1999
449178133269506879910 ~2000
4491841198983682399 ~1999
4491872591796749036111 ~2002
Exponent Prime Factor Digits Year
449194159808549486310 ~2001
4492058038984116079 ~1999
449229577269537746310 ~2000
4492523398985046799 ~1999
4492532518985065039 ~1999
4492557598985115199 ~1999
4492575598985151199 ~1999
449258767718814027310 ~2001
4492656238985312479 ~1999
4492663798985327599 ~1999
449267981359414384910 ~2000
4492790038985580079 ~1999
449279027359423221710 ~2000
4492970398985940799 ~1999
4493017198986034399 ~1999
4493120638986241279 ~1999
449324023449324023110 ~2000
449337313269602387910 ~2000
4493471638986943279 ~1999
4493620318987240639 ~1999
4493685718987371439 ~1999
4493742238987484479 ~1999
4493876638987753279 ~1999
4494018118988036239 ~1999
4494099598988199199 ~1999
Exponent Prime Factor Digits Year
4494133798988267599 ~1999
4494535198989070399 ~1999
4494644518989289039 ~1999
449465981269679588710 ~2000
4494762718989525439 ~1999
449530157269718094310 ~2000
4495360798990721599 ~1999
4495478038990956079 ~1999
4495751518991503039 ~1999
4496107798992215599 ~1999
4496264518992529039 ~1999
4496959438993918879 ~1999
4497036718994073439 ~1999
4497118318994236639 ~1999
449713697269828218310 ~2000
4497246838994493679 ~1999
4497330238994660479 ~1999
4497343198994686399 ~1999
4497408718994817439 ~1999
4497648238995296479 ~1999
4497732838995465679 ~1999
449784953269870971910 ~2000
4497928798995857599 ~1999
4498241638996483279 ~1999
4498255918996511839 ~1999
Exponent Prime Factor Digits Year
4498298998996597999 ~1999
449835097269901058310 ~2000
4498840318997680639 ~1999
4499081398998162799 ~1999
4499117398998234799 ~1999
4499217238998434479 ~1999
4499434198998868399 ~1999
4499504638999009279 ~1999
4499831398999662799 ~1999
4499971438999942879 ~1999
450029057360023245710 ~2000
4500299999000599999 ~1999
450030947360024757710 ~2000
4500357839000715679 ~1999
4500416999000833999 ~1999
450060517270036310310 ~2000
4500633719001267439 ~1999
4500678831080162919311 ~2001
4500762719001525439 ~1999
4501041839002083679 ~1999
4501057319002114639 ~1999
4501177911440376931311 ~2002
4501317119002634239 ~1999
4501360799002721599 ~1999
4501600799003201599 ~1999
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