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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
9990863199817278 ~1986
9991139199822798 ~1986
9991141599468478 ~1987
9991199199823998 ~1986
9991259199825198 ~1986
9991343199826878 ~1986
9991379199827598 ~1986
9992197599531838 ~1987
9992713599562798 ~1987
9993317599599038 ~1987
9993793599627598 ~1987
9993881599632878 ~1987
9993911199878238 ~1986
9993913599634798 ~1987
9994021599641278 ~1987
9994091199881838 ~1986
9994373599662398 ~1987
9994553599673198 ~1987
9994871199897438 ~1986
9994913599694798 ~1987
9995009799600738 ~1987
9995101599706078 ~1987
99951012198922239
99952571599241139 ~1988
9995519199910398 ~1986
Exponent Prime Factor Digits Year
9995581119946972110 ~1990
9995617599737038 ~1987
9996659199933198 ~1986
9996737799738978 ~1987
9996803199936078 ~1986
99971772999153119 ~1989
9997237599834238 ~1987
9998699199973998 ~1986
99987431599798899 ~1988
9998903199978078 ~1986
9999161599949678 ~1987
9999233599953998 ~1987
9999299199985998 ~1986
9999337599960238 ~1987
9999593599975598 ~1987
9999653599979198 ~1987
9999677599980638 ~1987
9999937599996238 ~1987
10000079200001598 ~1986
10000261600015678 ~1987
10000271200005438 ~1986
10000439200008798 ~1986
100006092200133999 ~1988
100006435000321519 ~1989
100008914800427699 ~1989
Exponent Prime Factor Digits Year
10001399200027998 ~1986
10001531200030638 ~1986
100017771400248799 ~1988
10001801600108078 ~1987
10001963200039278 ~1986
10002017600121038 ~1987
10002053600123198 ~1987
10002059800164738 ~1987
10002659200053198 ~1986
10002809800224738 ~1987
10002959200059198 ~1986
10003043200060878 ~1986
10003121600187278 ~1987
10003181600190878 ~1987
10003277800262178 ~1987
10003583200071678 ~1986
100036394201528399 ~1989
10003739200074798 ~1986
10003859200077198 ~1986
10004063200081278 ~1986
10004243200084878 ~1986
10004303200086078 ~1986
10005119200102398 ~1986
10005179200103598 ~1986
10005431200108638 ~1986
Exponent Prime Factor Digits Year
100054511000545119 ~1987
10005641600338478 ~1987
10005731200114638 ~1986
10005791200115838 ~1986
10005833600349998 ~1987
10006121600367278 ~1987
10006151200123038 ~1986
10006481600388878 ~1987
10006499200129998 ~1986
10006757600405438 ~1987
10006883200137678 ~1986
10006933600415998 ~1987
10007183200143678 ~1986
10007297600437838 ~1987
10008083200161678 ~1986
10008371200167438 ~1986
10008419200168398 ~1986
10008437600506238 ~1987
100085534003421219 ~1989
10008623200172478 ~1986
10008983200179678 ~1986
100091711000917119 ~1987
10009271200185438 ~1986
10009283200185678 ~1986
100093871000938719 ~1987
1014
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25-05-04