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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.
Exponent Prime Factor Digits Year
10056337603380238 ~1987
10056353603381198 ~1987
10056383201127678 ~1986
10056433603385998 ~1987
10056659201133198 ~1986
10057031201140638 ~1986
10057477603448638 ~1987
10057613603456798 ~1987
10057643201152878 ~1986
10057763201155278 ~1986
10058063201161278 ~1986
100581711810470799 ~1988
10058459201169198 ~1986
10058471804677698 ~1987
100585572414053699 ~1988
10059293603557598 ~1987
10059521603571278 ~1987
10059743201194878 ~1986
10059851201197038 ~1986
10059853603591198 ~1987
100598571408379999 ~1988
10060121804809698 ~1987
10060811201216238 ~1986
10060859201217198 ~1986
10061099201221998 ~1986
Exponent Prime Factor Digits Year
100611533018345919 ~1989
100611671006116719 ~1987
1006180311856828655312 ~1995
10062203201244078 ~1986
10062323201246478 ~1986
100623311811219599 ~1988
10062397603743838 ~1987
10062551201251038 ~1986
10062673603760398 ~1987
10062803201256078 ~1986
100631472415155299 ~1988
100632194025287619 ~1989
100633871610141939 ~1988
10063637603818238 ~1987
100637591006375919 ~1987
100637592415302179
10063931805114498 ~1987
10064339201286798 ~1986
10064609805168738 ~1987
100647594227198799 ~1989
10064819201296398 ~1986
10064963201299278 ~1986
10065299201305998 ~1986
10065491201309838 ~1986
100657031610512499 ~1988
Exponent Prime Factor Digits Year
10065779805262338 ~1987
10065857805268578 ~1987
10066117136899191310 ~1990
10066421805313698 ~1987
10066753604005198 ~1987
100670231610723699 ~1988
100677111812187999 ~1988
100678991812221839 ~1988
100679991812239839 ~1988
10068059201361198 ~1986
10068193604091598 ~1987
10068761604125678 ~1987
10068833604129998 ~1987
100688331409636639
100690013020700319 ~1989
10069739201394798 ~1986
10069793604187598 ~1987
100698531409779439 ~1988
10069901604194078 ~1987
10069991201399838 ~1986
10070077604204638 ~1987
10070531201410638 ~1986
10070897604253838 ~1987
10071023201420478 ~1986
100712772417106499 ~1988
Exponent Prime Factor Digits Year
100714191812855439 ~1988
10071779201435598 ~1986
10071827805746178 ~1987
10071983201439678 ~1986
10072001604320078 ~1987
100726631007266319 ~1987
10072871201457438 ~1986
10072877604372638 ~1987
10072883201457678 ~1986
10073111201462238 ~1986
10073321604399278 ~1987
10073597805887778 ~1987
10073603201472078 ~1986
10073711201474238 ~1986
10073801604428078 ~1987
10073893604433598 ~1987
10074203201484078 ~1986
100743296246083999 ~1989
10074347805947778 ~1987
10074419201488398 ~1986
10074539201490798 ~1986
10074613604476798 ~1987
10074671201493438 ~1986
10074923201498478 ~1986
10074983201499678 ~1986
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25-07-08