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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
616436423123287284710 ~2000
616447103123289420710 ~2000
616457357369874414310 ~2001
616473181369883908710 ~2001
616473323123294664710 ~2000
616481111123296222310 ~2000
616485923123297184710 ~2000
616523353369914011910 ~2001
616526699123305339910 ~2000
616552199123310439910 ~2000
616561019123312203910 ~2000
616566383123313276710 ~2000
616574891123314978310 ~2000
616591571123318314310 ~2000
616618297986589275310 ~2002
616647623123329524710 ~2000
616651697369991018310 ~2001
616667399123333479910 ~2000
616672079123334415910 ~2000
6167045775427000277711 ~2004
616705769863388076710 ~2002
616716143123343228710 ~2000
616775693863485970310 ~2002
616792697370075618310 ~2001
616810079123362015910 ~2000
Exponent Prime Factor Digits Year
616826999123365399910 ~2000
616845923123369184710 ~2000
616858271123371654310 ~2000
616874243123374848710 ~2000
616874831123374966310 ~2000
616882811123376562310 ~2000
616883243123376648710 ~2000
616919279123383855910 ~2000
616925453370155271910 ~2001
616935281370161168710 ~2001
616994857370196914310 ~2001
616995499616995499110 ~2001
617014199123402839910 ~2000
617060377370236226310 ~2001
617077807617077807110 ~2001
617093699123418739910 ~2000
617107643123421528710 ~2000
617108231493686584910 ~2001
617114591493691672910 ~2001
617116319123423263910 ~2000
617135531123427106310 ~2000
617148923123429784710 ~2000
617157143123431428710 ~2000
617172203123434440710 ~2000
617172779123434555910 ~2000
Exponent Prime Factor Digits Year
617174003123434800710 ~2000
6171793191974973820911 ~2003
617180939123436187910 ~2000
617184731123436946310 ~2000
617207999123441599910 ~2000
617229719123445943910 ~2000
617252959617252959110 ~2001
617254523123450904710 ~2000
617254679123450935910 ~2000
617265251123453050310 ~2000
617303579123460715910 ~2000
617310971493848776910 ~2001
617317691123463538310 ~2000
617347691123469538310 ~2000
617374973370424983910 ~2001
617388301370432980710 ~2001
617389963987823940910 ~2002
617393831123478766310 ~2000
617394671123478934310 ~2000
617411351123482270310 ~2000
617417303123483460710 ~2000
617431889493945511310 ~2001
617453951123490790310 ~2000
617474243123494848710 ~2000
617484431493987544910 ~2001
Exponent Prime Factor Digits Year
617521259123504251910 ~2000
617533351617533351110 ~2001
617535613370521367910 ~2001
617558999494047199310 ~2001
617565581370539348710 ~2001
6175736591111632586311 ~2002
617589359123517871910 ~2000
6175909973458509583311 ~2003
617615597370569358310 ~2001
617632859123526571910 ~2000
617646671123529334310 ~2000
617694661370616796710 ~2001
617733731123546746310 ~2000
617764481370658688710 ~2001
617793023123558604710 ~2000
617796863123559372710 ~2000
617805731123561146310 ~2000
617812931123562586310 ~2000
617838659123567731910 ~2000
617846081370707648710 ~2001
617867111123573422310 ~2000
617870639123574127910 ~2000
617873339123574667910 ~2000
617894603123578920710 ~2000
617913539123582707910 ~2000
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25-05-04