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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
8545151170903038 ~1985
8545319170906398 ~1985
8545331170906638 ~1985
8545571170911438 ~1985
85459392051025379 ~1988
8546423170928478 ~1985
85464371367429939 ~1987
854646764195932223912 ~1996
8546521512791278 ~1986
8546651683732098 ~1987
8546807683744578 ~1987
8547269683781538 ~1987
8547419170948398 ~1985
8547437683794978 ~1987
8547509683800738 ~1987
8547887683830978 ~1987
8547911170958238 ~1985
8547941683835298 ~1987
8548291854829118 ~1987
8548321552221536710 ~1991
8548453512907198 ~1986
8548559683884738 ~1987
8548781512926878 ~1986
8548817512929038 ~1986
85488311367812979 ~1987
Exp. Prime Factor Digits Year
8549201512952078 ~1986
8549201683936098
85497971367967539 ~1987
8549837683986978 ~1987
8550011171000238 ~1985
8550023171000478 ~1985
8550359171007198 ~1985
8550623171012478 ~1985
8550791171015838 ~1985
8550827684066178 ~1987
8551019171020398 ~1985
8551063855106318 ~1987
8551079171021598 ~1985
85510993591461599 ~1988
8551139171022798 ~1985
8551223171024478 ~1985
8551253513075198 ~1986
8551379171027598 ~1985
8551451171029038 ~1985
8551511343770742310 ~1991
85517592052422179 ~1988
8551997513119838 ~1986
85521071368337139 ~1987
8552279171045598 ~1985
8552353513141198 ~1986
Exp. Prime Factor Digits Year
8552363171047278 ~1985
8552471171049438 ~1985
8552519684201538 ~1987
8552737513164238 ~1986
8552939684235138 ~1987
8553029684242338 ~1987
8553101513186078 ~1986
85533013421320419 ~1988
8553491171069838 ~1985
8553541513212478 ~1986
8553599171071998 ~1985
8553683171073678 ~1985
85538032737216979 ~1988
8554163171083278 ~1985
8554421684353698 ~1987
8554607684368578 ~1987
8554751684380098 ~1987
85547711539858799 ~1987
8554829684386338 ~1987
8555051171101038 ~1985
8555171171103438 ~1985
85553533935462399 ~1988
85556391540015039 ~1987
8555759171115198 ~1985
8555831684466498 ~1987
Exp. Prime Factor Digits Year
85559331197830639 ~1987
85561331368981299 ~1987
8556749684539938 ~1987
8556923171138478 ~1985
8556959171139198 ~1985
8557079171141598 ~1985
8557169684573538 ~1987
8557229684578338 ~1987
8557573513454398 ~1986
8557691171153838 ~1985
8557931171158638 ~1985
85579318386772399
8557937684634978 ~1987
8558233513493998 ~1986
8558261513495678 ~1986
85584771198186799 ~1987
8558867684709378 ~1987
8558899855889918 ~1987
8559179171183598 ~1985
8559539171190798 ~1985
8559563171191278 ~1985
8559569684765538 ~1987
85597678217376339 ~1989
8560289684823138 ~1987
85603271369652339 ~1987
988
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26-08-02