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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
1966561432643438 ~1983
1966793275351038 ~1982
1967047196704718 ~1982
19671012203153139 ~1984
1967137118028238 ~1981
1967309275423278 ~1982
196741139348237 ~1980
1967633472231938 ~1983
1967657118059438 ~1981
1967671354180798 ~1983
196771139354237 ~1980
1967729275482078 ~1982
1967753472260738 ~1983
1967789157423138 ~1982
1967851113348217710 ~1986
1967909472298178 ~1983
196793939358797 ~1980
1968017118081038 ~1981
1968017590405118
1968019944649138 ~1984
1968199354275838 ~1983
1968257275555998 ~1982
1968301118098078 ~1981
19683532834428339 ~1985
196853939370797 ~1980
Exp. Prime Factor Digits Year
1968569590570718 ~1983
19687731417516579 ~1984
196880339376077 ~1980
1968977472554498 ~1983
196903139380637 ~1980
1969049275666878 ~1982
1969147472595298 ~1983
196922339384477 ~1980
1969241630157138 ~1983
1969423196942318 ~1982
1969567315130738 ~1982
1969609433313998 ~1983
19696612521166099 ~1985
1969777118186638 ~1981
1969993433398478 ~1983
1970039630412498 ~1983
1970071197007118 ~1982
197012339402477 ~1980
197018339403677 ~1980
1970209945700338 ~1984
197021939404397 ~1980
1970257118215438 ~1981
1970261118215678 ~1981
1970291512275678 ~1983
19703332837279539 ~1985
Exp. Prime Factor Digits Year
19704131418697379 ~1984
19704671261098899 ~1984
1970513472923138 ~1983
197051939410397 ~1980
1970599197059918 ~1982
1970627157650178 ~1982
1970677118240638 ~1981
1970713118242798 ~1981
1970729275902078 ~1982
19707291221851999
1970867473008098 ~1983
19709231300809199 ~1984
197102339420477 ~1980
19710295952507599 ~1986
1971127315380338 ~1982
197114339422877 ~1980
197125139425037 ~1980
1971329157706338 ~1982
1971401118284078 ~1981
197150339430077 ~1980
197165939433197 ~1980
1971709433775998 ~1983
1971799354923838 ~1983
1972207197220718 ~1982
1972307355015278 ~1983
Exp. Prime Factor Digits Year
19723792406302399 ~1985
19725111104606179 ~1984
1972627315620338 ~1982
197264339452877 ~1980
1972669789067618 ~1983
1972721631270738 ~1983
1972739596556273710 ~1988
1972787165714108110 ~1987
1972813473475138 ~1983
197282339456477 ~1980
1972829190969847310 ~1987
1972921315667378 ~1982
1972921591876318
1973011197301118 ~1982
1973113118386798 ~1981
1973297157863778 ~1982
1973317947192178 ~1984
1973527197352718 ~1982
1973539828886398 ~1983
1973813118428798 ~1981
197383139476637 ~1980
197390339478077 ~1980
1973927157914178 ~1982
1974121315859378 ~1982
1974403197440318 ~1982
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26-07-19