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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
4500357839000715679 ~1999
4500416999000833999 ~1999
450060517270036310310 ~2000
4500633719001267439 ~1999
4500678831080162919311 ~2001
4500762719001525439 ~1999
4501041839002083679 ~1999
4501057319002114639 ~1999
4501177911440376931311 ~2002
4501317119002634239 ~1999
4501360799002721599 ~1999
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
Exponent Prime Factor Digits Year
450336559810605806310 ~2001
4503661319007322639 ~1999
4503740039007480079 ~1999
450387853270232711910 ~2000
4503999491351199847111 ~2001
4504103519008207039 ~1999
4504142039008284079 ~1999
4504214039008428079 ~1999
4504272839008545679 ~1999
4504502639009005279 ~1999
4504513331801805332111 ~2002
4504740719009481439 ~1999
450477107360381685710 ~2000
4504782119009564239 ~1999
4504830671081159360911 ~2001
4504878839009757679 ~1999
4505016719010033439 ~1999
4505047319010094639 ~1999
4505123999010247999 ~1999
4505276639010553279 ~1999
450541033270324619910 ~2000
4505646239011292479 ~1999
4505757599011515199 ~1999
4505762571351728771111 ~2001
4505839439011678879 ~1999
Exponent Prime Factor Digits Year
4505886839011773679 ~1999
4505894399011788799 ~1999
4505903039011806079 ~1999
4506128399012256799 ~1999
4506640799013281599 ~1999
4506655439013310879 ~1999
4506734039013468079 ~1999
4506814439013628879 ~1999
4506888839013777679 ~1999
4506973439013946879 ~1999
4507227119014454239 ~1999
4507235519014471039 ~1999
4507256515408707812111 ~2003
4507326971352198091111 ~2001
4507505519015011039 ~1999
4507530599015061199 ~1999
4507532399015064799 ~1999
4507572119015144239 ~1999
4507791599015583199 ~1999
4507895519015791039 ~1999
4507981919015963839 ~1999
4508323319016646639 ~1999
4508475119016950239 ~1999
4508483891082036133711 ~2001
4508555399017110799 ~1999
Exponent Prime Factor Digits Year
4508698571082087656911 ~2001
4508774639017549279 ~1999
4508794799017589599 ~1999
4508844719017689439 ~1999
4508905439017810879 ~1999
4508952239017904479 ~1999
4508971439017942879 ~1999
4509041999018083999 ~1999
450914587811646256710 ~2001
450924121270554472710 ~2000
4509261119018522239 ~1999
450945113270567067910 ~2000
4509454799018909599 ~1999
4509485519018971039 ~1999
4509856319019712639 ~1999
4509987599019975199 ~1999
4510092719020185439 ~1999
451018273270610963910 ~2000
4510237093517984930311 ~2002
4510284719020569439 ~1999
4510334639020669279 ~1999
4510354439020708879 ~1999
4510574999021149999 ~1999
4510733039021466079 ~1999
4510736639021473279 ~1999
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25-06-08