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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
681101831136220366310 ~2000
681105979681105979110 ~2002
681107243136221448710 ~2000
6811453973678185143911 ~2004
681156401408693840710 ~2001
681158111136231622310 ~2000
6811776911089884305711 ~2002
681231731136246346310 ~2000
681232199544985759310 ~2001
6812622431635029383311 ~2003
681264719136252943910 ~2000
6812661914905116575311 ~2004
681269003136253800710 ~2000
681312001408787200710 ~2001
681315611136263122310 ~2000
681320597408792358310 ~2001
681328559136265711910 ~2000
681329963136265992710 ~2000
681335939136267187910 ~2000
681340763136268152710 ~2000
681346331136269266310 ~2000
681372239136274447910 ~2000
681422723136284544710 ~2000
681427679136285535910 ~2000
681429503136285900710 ~2000
Exponent Prime Factor Digits Year
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
6817446493681421104711 ~2004
681760643136352128710 ~2000
681770231136354046310 ~2000
6817714391227188590311 ~2002
Exponent Prime Factor Digits Year
681800939136360187910 ~2000
681803711136360742310 ~2000
6818353071227303552711 ~2002
681856271136371254310 ~2000
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
682143431136428686310 ~2000
682144237409286542310 ~2001
682159811136431962310 ~2000
682196279136439255910 ~2000
682197179136439435910 ~2000
Exponent Prime Factor Digits Year
6822718331637452399311 ~2003
682293659136458731910 ~2000
682311803136462360710 ~2000
682328183136465636710 ~2000
682337819136467563910 ~2000
682360223136472044710 ~2000
682370933409422559910 ~2001
682410341545928272910 ~2001
682435763136487152710 ~2000
682486993409492195910 ~2001
6824874891637969973711 ~2003
682500431136500086310 ~2000
682502003136500400710 ~2000
682528331136505666310 ~2000
682589723136517944710 ~2000
682604771136520954310 ~2000
682646423136529284710 ~2000
682654319136530863910 ~2000
682655843136531168710 ~2000
6826646871638395248911 ~2003
682666343136533268710 ~2000
682669583136533916710 ~2000
682673951136534790310 ~2000
6826811591228826086311 ~2002
682683047546146437710 ~2001
3539
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25-11-02