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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
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
4505886839011773679 ~1999
4505894399011788799 ~1999
4505903039011806079 ~1999
4506128399012256799 ~1999
Exponent Prime Factor Digits Year
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
4508698571082087656911 ~2001
4508774639017549279 ~1999
4508794799017589599 ~1999
4508844719017689439 ~1999
Exponent Prime Factor Digits Year
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
4510760399021520799 ~1999
4511016119022032239 ~1999
4511247599022495199 ~1999
4511254439022508879 ~1999
Exponent Prime Factor Digits Year
4511314199022628399 ~1999
4511460719022921439 ~1999
451193321270715992710 ~2000
4512089711804835884111 ~2002
4512171599024343199 ~1999
4512292972526884063311 ~2002
4512343319024686639 ~1999
451235153270741091910 ~2000
451240901270744540710 ~2000
451247857270748714310 ~2000
451265939361012751310 ~2000
4512664439025328879 ~1999
4512691919025383839 ~1999
451277909361022327310 ~2000
4512800039025600079 ~1999
451280777270768466310 ~2000
4512839399025678799 ~1999
4512928799025857599 ~1999
451298117270778870310 ~2000
4513067639026135279 ~1999
451315783722105252910 ~2001
4513178039026356079 ~1999
451335793270801475910 ~2000
451346537270807922310 ~2000
451347341361077872910 ~2000
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25-07-08