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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
4493742238987484479 ~1999
4493876638987753279 ~1999
4494018118988036239 ~1999
4494099598988199199 ~1999
4494133798988267599 ~1999
4494535198989070399 ~1999
4494644518989289039 ~1999
449465981269679588710 ~2000
4494762718989525439 ~1999
449530157269718094310 ~2000
4495360798990721599 ~1999
4495478038990956079 ~1999
4495751518991503039 ~1999
4496264518992529039 ~1999
4496959438993918879 ~1999
4497036718994073439 ~1999
449713697269828218310 ~2000
4497246838994493679 ~1999
4497330238994660479 ~1999
4497343198994686399 ~1999
4497408718994817439 ~1999
4497648238995296479 ~1999
4497732838995465679 ~1999
449784953269870971910 ~2000
4497928798995857599 ~1999
Exponent Prime Factor Digits Year
4498241638996483279 ~1999
4498255918996511839 ~1999
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
4501057319002114639 ~1999
4501177911440376931311 ~2002
4501317119002634239 ~1999
4501360799002721599 ~1999
Exponent Prime Factor Digits Year
4501600799003201599 ~1999
4501888611710717671911 ~2002
4501972439003944879 ~1999
450200189360160151310 ~2000
4502180631170566963911 ~2001
4502204999004409999 ~1999
4502306039004612079 ~1999
450233153270139891910 ~2000
4502806439005612879 ~1999
450299173270179503910 ~2000
4503088199006176399 ~1999
4503131519006263039 ~1999
4503225839006451679 ~1999
450328019360262415310 ~2000
450336559810605806310 ~2001
4503661319007322639 ~1999
4503740039007480079 ~1999
450387853270232711910 ~2000
4503999491351199847111 ~2001
4504103519008207039 ~1999
4504142039008284079 ~1999
4504214039008428079 ~1999
4504272839008545679 ~1999
4504502639009005279 ~1999
4504513331801805332111 ~2002
Exponent Prime Factor Digits Year
4504740719009481439 ~1999
450477107360381685710 ~2000
4504782119009564239 ~1999
4504830671081159360911 ~2001
4504878839009757679 ~1999
4505016719010033439 ~1999
4505276639010553279 ~1999
450541033270324619910 ~2000
4505646239011292479 ~1999
4505757599011515199 ~1999
4505762571351728771111 ~2001
4505839439011678879 ~1999
4505886839011773679 ~1999
4505903039011806079 ~1999
4506128399012256799 ~1999
4506640799013281599 ~1999
4506655439013310879 ~1999
4506734039013468079 ~1999
4506888839013777679 ~1999
4506973439013946879 ~1999
4507227119014454239 ~1999
4507235519014471039 ~1999
4507256515408707812111 ~2003
4507326971352198091111 ~2001
4507530599015061199 ~1999
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25-04-13