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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
4491047518982095039 ~1999
4491089292155722859311 ~2002
4491148198982296399 ~1999
4491167998982335999 ~1999
4491372598982745199 ~1999
449148461269489076710 ~2000
449151191808472143910 ~2001
449157479359325983310 ~2000
4491598918983197839 ~1999
4491696838983393679 ~1999
4491712798983425599 ~1999
4491765718983531439 ~1999
449178133269506879910 ~2000
4491841198983682399 ~1999
4491872591796749036111 ~2002
449194159808549486310 ~2001
4491974038983948079 ~1999
4492058038984116079 ~1999
4492183071167967598311 ~2001
4492220171347666051111 ~2001
449229577269537746310 ~2000
4492523398985046799 ~1999
4492532518985065039 ~1999
4492557598985115199 ~1999
4492575598985151199 ~1999
Exponent Prime Factor Digits Year
449258767718814027310 ~2001
4492656238985312479 ~1999
4492663798985327599 ~1999
449267981359414384910 ~2000
449275061269565036710 ~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
4494133798988267599 ~1999
4494294238988588479 ~1999
4494535198989070399 ~1999
4494621611348386483111 ~2001
4494644518989289039 ~1999
449465981269679588710 ~2000
Exponent Prime Factor Digits Year
4494762718989525439 ~1999
4494905991078777437711 ~2001
449511833629316566310 ~2001
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
449758271359806616910 ~2000
4497648238995296479 ~1999
4497732838995465679 ~1999
449781301269868780710 ~2000
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
4500173039000346079 ~1999
450029057360023245710 ~2000
4500299999000599999 ~1999
450030947360024757710 ~2000
4500357839000715679 ~1999
4500416999000833999 ~1999
450060517270036310310 ~2000
4500633719001267439 ~1999
4500678831080162919311 ~2001
4500762719001525439 ~1999
4500889992880569593711 ~2002
4501041839002083679 ~1999
4501057319002114639 ~1999
4501070519002141039 ~1999
4501177911440376931311 ~2002
3482
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26-03-08