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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
681346331136269266310 ~2000
681372239136274447910 ~2000
681422723136284544710 ~2000
681429503136285900710 ~2000
681443593408866155910 ~2001
681455087545164069710 ~2001
681465971136293194310 ~2000
681497891136299578310 ~2000
681537203136307440710 ~2000
681552419136310483910 ~2000
681583739136316747910 ~2000
681587759136317551910 ~2000
681589049545271239310 ~2001
681595763136319152710 ~2000
6815978231090556516911 ~2002
681629411136325882310 ~2000
681639851136327970310 ~2000
681659063136331812710 ~2000
681660911136332182310 ~2000
681665219136333043910 ~2000
681672143136334428710 ~2000
681679417409007650310 ~2001
681708311136341662310 ~2000
681711071136342214310 ~2000
681742703136348540710 ~2000
Exponent Prime Factor Digits Year
6817446493681421104711 ~2003
681760643136352128710 ~2000
681770231136354046310 ~2000
6817714391227188590311 ~2002
681800939136360187910 ~2000
681803711136360742310 ~2000
6818353071227303552711 ~2002
681856271136371254310 ~2000
681861269545489015310 ~2001
681885251136377050310 ~2000
681910979136382195910 ~2000
681928777409157266310 ~2001
681945059136389011910 ~2000
681979619136395923910 ~2000
68198091712548448872912 ~2005
682028939545623151310 ~2001
682054013409232407910 ~2001
682072091136414418310 ~2000
682074923136414984710 ~2000
682087979136417595910 ~2000
682118219136423643910 ~2000
682121351136424270310 ~2000
682127687545702149710 ~2001
682131959136426391910 ~2000
682138267682138267110 ~2002
Exponent Prime Factor Digits Year
682143431136428686310 ~2000
682144237409286542310 ~2001
682159811136431962310 ~2000
682196279136439255910 ~2000
682197179136439435910 ~2000
6822718331637452399311 ~2003
682293659136458731910 ~2000
682311803136462360710 ~2000
682328183136465636710 ~2000
682337819136467563910 ~2000
682360223136472044710 ~2000
682370933409422559910 ~2001
682410341545928272910 ~2001
682486993409492195910 ~2001
682500431136500086310 ~2000
682502003136500400710 ~2000
682528331136505666310 ~2000
682589723136517944710 ~2000
682604771136520954310 ~2000
682616771546093416910 ~2001
682646423136529284710 ~2000
682654319136530863910 ~2000
682655843136531168710 ~2000
6826646871638395248911 ~2003
682666343136533268710 ~2000
Exponent Prime Factor Digits Year
682669583136533916710 ~2000
682673951136534790310 ~2000
6826811591228826086311 ~2002
682686241409611744710 ~2001
682690451136538090310 ~2000
682695773409617463910 ~2001
682698953409619371910 ~2001
6826992171638478120911 ~2003
682703873409622323910 ~2001
682710239136542047910 ~2000
682722851136544570310 ~2000
682746359136549271910 ~2000
682759691136551938310 ~2000
682776383136555276710 ~2000
682780823136556164710 ~2000
682781063136556212710 ~2000
682787141546229712910 ~2001
682799633409679779910 ~2001
682812121409687272710 ~2001
682828457546262765710 ~2001
682842569546274055310 ~2001
6828781492048634447111 ~2003
682895351136579070310 ~2000
682895957409737574310 ~2001
682899131136579826310 ~2000
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25-07-08