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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
172232334446477 ~1980
1722431310037598 ~1982
1722443551181778 ~1983
1722463275594098 ~1982
172259934451997 ~1980
1722619413428578 ~1982
1722667310080078 ~1982
1722667689066818
1722883172288318 ~1981
1723333103399998 ~1981
1723619310251438 ~1982
1723747586073998 ~1983
172375134475037 ~1980
1723807172380718 ~1981
1723837103430238 ~1981
1723973241356238 ~1982
1723991448237678 ~1982
1724027137922178 ~1981
1724201137936098 ~1981
1724209413810178 ~1982
1724309241403278 ~1982
1724329413838978 ~1982
172435134487037 ~1980
1724357241409998 ~1982
172439934487997 ~1980
Exp. Prime Factor Digits Year
17243995414612879
1724473517341918 ~1983
1724641275942578 ~1982
1724669517400718 ~1983
1724677156945607110 ~1986
1724699827855538 ~1983
1724923172492318 ~1981
1724981103498878 ~1981
1725127414030498 ~1982
1725133103507998 ~1981
1725197138015778 ~1981
1725287138022978 ~1981
172535934507197 ~1980
1725481517644318 ~1983
172553934510797 ~1980
1725539138043138
1725541103532478 ~1981
1725671138053698 ~1981
1725743414178338 ~1982
1725781517734318 ~1983
17258331760349679 ~1984
172613934522797 ~1980
1726159310708638 ~1982
1726303172630318 ~1981
1726327276212338 ~1982
Exp. Prime Factor Digits Year
172637934527597 ~1980
1726477828708978 ~1983
1726489379827598 ~1982
1726513103590798 ~1981
1726577103594638 ~1981
1726661103599678 ~1981
1726757656167678 ~1983
172681134536237 ~1980
172685934537197 ~1980
172688334537677 ~1980
1726897103613838 ~1981
1726931138154498 ~1981
1726993932576238 ~1983
1727263172726318 ~1981
1727317276370738 ~1982
172733934546797 ~1980
1727417656418478 ~1983
1727437103646238 ~1981
172748334549677 ~1980
1727513103650798 ~1981
1727743172774318 ~1981
17279894665570319 ~1985
1728193276510898 ~1982
1728439311119038 ~1982
1728527311134878 ~1982
Exp. Prime Factor Digits Year
1728583172858318 ~1981
172865934573197 ~1980
1728827864413518 ~1983
172898334579677 ~1980
1728983414955938
172904334580877 ~1980
172910334582077 ~1980
1729109138328738 ~1981
1729109242075278
1729141276662578 ~1982
1729249830039538 ~1983
172939134587837 ~1980
1729487138358978 ~1981
172949934589997 ~1980
1729709138376738 ~1981
1729711276753778 ~1982
1729789518936718 ~1983
1729841553549138 ~1983
1729921830362098 ~1983
172994334598877 ~1980
1729957276793138 ~1982
1730167173016718 ~1981
1730237657490078 ~1983
1730473103828398 ~1981
1730591138447298 ~1981
349
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25-06-01