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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.
Exp. Prime Factor Digits Year
1414129311108398 ~1982
1414211254557998 ~1981
141432184859277 ~1980
1414397424319118 ~1982
1414409113152738 ~1981
1414423141442318 ~1981
141445384867197 ~1980
1414481876978238 ~1983
1414507254611278 ~1981
14145133621153299 ~1984
141463128292637 ~1979
141483784890237 ~1980
141494328298877 ~1979
141495784897437 ~1980
1415059481120078 ~1982
1415069113205538 ~1981
1415411113232898 ~1981
1415507679443378 ~1982
1415639113251138 ~1981
14156515690917039 ~1985
1415741537981598 ~1982
141583128316637 ~1979
141597784958637 ~1980
1416007566402818 ~1982
1416067481462798 ~1982
Exp. Prime Factor Digits Year
141607128321437 ~1979
141614328322877 ~1979
1416209198269278 ~1981
1416223339893538 ~1982
1416341113307298 ~1981
14164731473131939 ~1983
1416631254993598 ~1981
1416631679982898
141667128333437 ~1979
1416859141685918 ~1981
141705785023437 ~1980
14172231473911939 ~1983
1417301680304498 ~1982
141731928346397 ~1979
1417319113385538
1417363340167138 ~1982
14174632069495999 ~1984
1417649680471538 ~1982
1417807226849138 ~1981
1417907113432578 ~1981
1417931255227598 ~1981
1417979113438338 ~1981
141799385079597 ~1980
141805128361037 ~1979
141809385085597 ~1980
Exp. Prime Factor Digits Year
141824328364877 ~1979
141836328367277 ~1979
141851385110797 ~1980
141875928375197 ~1979
14188691447246399 ~1983
1418953312169678 ~1982
141902328380477 ~1979
1419023595989678
1419037340568898 ~1982
141905928381197 ~1979
1419073227051698 ~1981
141913785148237 ~1980
1419163141916318 ~1981
141917928383597 ~1979
1419239113539138 ~1981
1419247255464478 ~1981
1419251113540098 ~1981
1419269425780718 ~1982
1419359113548738 ~1981
141937128387437 ~1979
1419377766463598 ~1983
1419487141948718 ~1981
1419643141964318 ~1981
1419689766632078 ~1983
141969785181837 ~1980
Exp. Prime Factor Digits Year
1419697227151538
1419701113576098 ~1981
1419827709913518 ~1982
1419833454346578 ~1982
142009128401837 ~1979
142015128403037 ~1979
1420207340849698 ~1982
14202911022609539 ~1983
142049385229597 ~1980
142061385236797 ~1980
1420621568248418 ~1982
142071785243037 ~1980
1420721113657698 ~1981
1420847113667778 ~1981
1420879483098878 ~1982
142088328417677 ~1979
142093385255997 ~1980
14209491136759219 ~1983
142109385265597 ~1980
142109928421997 ~1979
1421141426342318 ~1982
1421221227395378 ~1981
142124328424877 ~1979
142129128425837 ~1979
1421291113703298
316
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26-05-03