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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
3542093495893038 ~1984
3542293212537598 ~1983
3542717212563038 ~1983
3542717495980398
3542761212565678 ~1983
354277170855437 ~1982
3542771921120478
3542923354292318 ~1984
3542939637729038 ~1984
354320370864077 ~1982
3543257212595438 ~1983
3543301212598078 ~1983
354335970867197 ~1982
3543389850413378 ~1985
354379170875837 ~1982
3543791921385678
3543919354391918 ~1984
35439591488462799 ~1985
354404370880877 ~1982
3544111637939998 ~1984
3544531567124978 ~1984
354464370892877 ~1982
35446691914121279 ~1986
354488370897677 ~1982
35450638295447439 ~1987
Exp. Prime Factor Digits Year
354512370902477 ~1982
354529170905837 ~1982
3545429496360078 ~1984
354577170915437 ~1982
354583170916637 ~1982
354596370919277 ~1982
354599970919997 ~1982
3546173496464238 ~1984
354623970924797 ~1982
3546607567457138 ~1984
3546619638391438 ~1984
3546737212804238 ~1983
3547001212820078 ~1983
354703170940637 ~1982
3547097496593598 ~1984
354715170943037 ~1982
354725970945197 ~1982
3547259283780738
354740370948077 ~1982
3547571638562798 ~1984
3547633851431938 ~1985
354775170955037 ~1982
3547961212877678 ~1983
354815970963197 ~1982
3548213496749838 ~1984
Exp. Prime Factor Digits Year
3548473212908398 ~1983
354857970971597 ~1982
35486392625992879 ~1986
3548851567816178 ~1984
3549089496872478 ~1984
354913170982637 ~1982
3549193212951598 ~1983
3549547851891298 ~1985
3549697567951538 ~1984
3549823354982318 ~1984
3549851283988098 ~1984
3549901212994078 ~1983
354991170998237 ~1982
355009171001837 ~1982
3550163923042398 ~1985
3550219355021918 ~1984
35502891349109839 ~1985
3550357213021438 ~1983
355043971008797 ~1982
3550541284043298 ~1984
355061971012397 ~1982
355064371012877 ~1982
3550667284053378 ~1984
35507211349273999 ~1985
3550741213044478 ~1983
Exp. Prime Factor Digits Year
3550873213052398 ~1983
35508891065266719 ~1985
3551027284082178 ~1984
35510291917555679 ~1986
355112371022477 ~1982
3551767639318078 ~1984
355193971038797 ~1982
3552041284163298 ~1984
355207171041437 ~1982
3552163852519138 ~1985
355217971043597 ~1982
3552247355224718 ~1984
355229971045997 ~1982
355261171052237 ~1982
3552667355266718 ~1984
3552671284213698 ~1984
3552797213167838 ~1983
3552953213177198 ~1983
3552953852708738
3553139284251138 ~1984
35532418812037699 ~1987
3553409497477278 ~1984
3553427639616878 ~1984
355355971071197 ~1982
3553579639644238 ~1984
572
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26-03-15