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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
849899591169979918310 ~2001
849916337679933069710 ~2002
8499392831359902852911 ~2003
8499486911359917905711 ~2003
849953459169990691910 ~2001
849993299169998659910 ~2001
8500180874080086817711 ~2004
850022843170004568710 ~2001
850026179170005235910 ~2001
850037173510022303910 ~2002
850047059170009411910 ~2001
8500550331190077046311 ~2003
850065803170013160710 ~2001
850075763170015152710 ~2001
850083803170016760710 ~2001
8500889832890302542311 ~2004
850096241680076992910 ~2002
850097879170019575910 ~2001
850125131170025026310 ~2001
850221941510133164710 ~2002
850259951170051990310 ~2001
850262291170052458310 ~2001
850282679170056535910 ~2001
850319819170063963910 ~2001
850357223170071444710 ~2001
Exponent Prime Factor Digits Year
850380143170076028710 ~2001
8504030091190564212711 ~2003
8504104194252052095111 ~2004
850411013510246607910 ~2002
850419131170083826310 ~2001
850444577510266746310 ~2002
850445231170089046310 ~2001
850452193510271315910 ~2002
850492523170098504710 ~2001
850528643170105728710 ~2001
850673363170134672710 ~2001
850678919170135783910 ~2001
850693463170138692710 ~2001
850693799170138759910 ~2001
850700293510420175910 ~2002
850740791170148158310 ~2001
850748891170149778310 ~2001
850769123170153824710 ~2001
850784201680627360910 ~2002
850903451170180690310 ~2001
850948391170189678310 ~2001
850961399170192279910 ~2001
850976363170195272710 ~2001
8510095396127268680911 ~2005
851019359170203871910 ~2001
Exponent Prime Factor Digits Year
851038211170207642310 ~2001
851098379170219675910 ~2001
851108651170221730310 ~2001
851137423851137423110 ~2002
8511468672042752480911 ~2003
851176993510706195910 ~2002
85120848112087160430312 ~2005
851217491170243498310 ~2001
851241451851241451110 ~2002
851287991170257598310 ~2001
851304719170260943910 ~2001
851318771170263754310 ~2001
851372771170274554310 ~2001
8514282291191999520711 ~2003
8514406131192016858311 ~2003
851445863170289172710 ~2001
851472253510883351910 ~2002
851486771170297354310 ~2001
851498003170299600710 ~2001
851508137510904882310 ~2002
851532119170306423910 ~2001
851543783170308756710 ~2001
851549291170309858310 ~2001
851572693510943615910 ~2002
851579051170315810310 ~2001
Exponent Prime Factor Digits Year
8515867871532856216711 ~2003
851590331170318066310 ~2001
851599559170319911910 ~2001
8516133192895485284711 ~2004
851621159170324231910 ~2001
851628601510977160710 ~2002
851632283170326456710 ~2001
8516621532554986459111 ~2004
851663471170332694310 ~2001
851676851170335370310 ~2001
851740277511044166310 ~2002
851746319170349263910 ~2001
851799983170359996710 ~2001
851805551170361110310 ~2001
851855171170371034310 ~2001
8518708392044490013711 ~2003
851889323170377864710 ~2001
851891699170378339910 ~2001
851905727681524581710 ~2002
851916431170383286310 ~2001
851919023170383804710 ~2001
851921159170384231910 ~2001
851938823170387764710 ~2001
851943311170388662310 ~2001
851980583170396116710 ~2001
3418
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25-05-04