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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
1725781517734318 ~1983
17258331760349679 ~1984
172613934522797 ~1980
1726159310708638 ~1982
1726303172630318 ~1981
1726327276212338 ~1982
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
Exp. Prime Factor Digits Year
1727513103650798 ~1981
1727563725576478 ~1983
1727743172774318 ~1981
17279894665570319 ~1985
1728121691248418 ~1983
1728193276510898 ~1982
1728439311119038 ~1982
1728527311134878 ~1982
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
Exp. Prime Factor Digits Year
1729841553549138 ~1983
1729921830362098 ~1983
172994334598877 ~1980
1729957276793138 ~1982
1730167173016718 ~1981
1730237657490078 ~1983
1730473103828398 ~1981
1730591138447298 ~1981
1730723969204898 ~1983
1730791311542398 ~1982
173083134616637 ~1980
1730999311579838 ~1982
1731179727095198 ~1983
173131134626237 ~1980
1731479138518338 ~1981
17315711004311199 ~1983
173165934633197 ~1980
1732039415689378 ~1982
17320512390230399 ~1984
1732057277129138 ~1982
1732139138571138 ~1981
1732193242507038 ~1982
1732231173223118 ~1981
1732273103936398 ~1981
17322773568490639 ~1985
Exp. Prime Factor Digits Year
1732321103939278 ~1981
17323691767016399 ~1984
1732447173244718 ~1981
1732469242545678 ~1982
1732499311849838 ~1982
1732631138610498 ~1981
1732697658424878 ~1983
173279934655997 ~1980
1732961103977678 ~1981
1732961519888318
1733041103982478 ~1981
17330772599615519 ~1984
173315934663197 ~1980
173318334663677 ~1980
173327934665597 ~1980
17332793882544979
1733327970663138 ~1983
173351934670397 ~1980
17335491074800399 ~1983
173363934672797 ~1980
1733903450814798 ~1982
17339031144375999
1733911173391118 ~1981
1733911728242638
1733981520194318 ~1983
356
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25-12-14