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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
4844693519689387039 ~1999
484469957290681974310 ~2000
484474297290684578310 ~2000
484483897290690338310 ~2000
4844846999689693999 ~1999
4845016091065903539911 ~2001
4845049319690098639 ~1999
484515457290709274310 ~2000
484522679387618143310 ~2000
4845538931066018564711 ~2001
4845582791938233116111 ~2002
4845644112325909172911 ~2002
4845658919691317839 ~1999
4845664799691329599 ~1999
484567063484567063110 ~2001
4845697799691395599 ~1999
4845705719691411439 ~1999
4845739319691478639 ~1999
484601639387681311310 ~2000
4846041891163050053711 ~2001
484637171387709736910 ~2000
484639217290783530310 ~2000
4846428839692857679 ~1999
4846805039693610079 ~1999
4847065439694130879 ~1999
Exponent Prime Factor Digits Year
484707473290824483910 ~2000
484727833290836699910 ~2000
4847347919694695839 ~1999
484736851484736851110 ~2001
484737419387789935310 ~2000
4847392319694784639 ~1999
4847398919694797839 ~1999
484740493290844295910 ~2000
4847456999694913999 ~1999
4847509199695018399 ~1999
484752077290851246310 ~2000
484792339484792339110 ~2001
484798361290879016710 ~2000
484802933290881759910 ~2000
484816181387852944910 ~2000
4848277199696554399 ~1999
484844273290906563910 ~2000
484844747387875797710 ~2000
4848463439696926879 ~1999
4848649319697298639 ~1999
484867597290920558310 ~2000
4848769439697538879 ~1999
4848786719697573439 ~1999
4848810119697620239 ~1999
4848836039697672079 ~1999
Exponent Prime Factor Digits Year
484884019872791234310 ~2001
4848971519697943039 ~1999
484903337290942002310 ~2000
484918517290951110310 ~2000
4849431719698863439 ~1999
4849447971163867512911 ~2001
4849583399699166799 ~1999
4849682519699365039 ~1999
4849702439699404879 ~1999
4849864799699729599 ~1999
4849940999699881999 ~1999
4850174519700349039 ~1999
4850297992328143035311 ~2002
4850516639701033279 ~1999
4850519519701039039 ~1999
4850731919701463839 ~1999
4850920319701840639 ~1999
4851102719702205439 ~1999
485116157388092925710 ~2000
485118041291070824710 ~2000
485125657291075394310 ~2000
4851355131552433641711 ~2002
485148457291089074310 ~2000
4851489719702979439 ~1999
4851603592425801795111 ~2002
Exponent Prime Factor Digits Year
4851640199703280399 ~1999
485176327485176327110 ~2001
4851868799703737599 ~1999
4851993599703987199 ~1999
4851999599703999199 ~1999
4852095231164502855311 ~2001
4852114319704228639 ~1999
4852205519704411039 ~1999
4852428119704856239 ~1999
4852647719705295439 ~1999
4852665719705331439 ~1999
4852799999705599999 ~1999
4852813199705626399 ~1999
4852860239705720479 ~1999
485289713291173827910 ~2000
4852966319705932639 ~1999
4853357519706715039 ~1999
485348957388279165710 ~2000
4853510639707021279 ~1999
485376497291225898310 ~2000
4853795999707591999 ~1999
4853888471164933232911 ~2001
4853910975824693164111 ~2003
4853974439707948879 ~1999
4854148439708296879 ~1999
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