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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
100008914800427699 ~1989
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
Exponent Prime Factor Digits Year
10005431200108638 ~1986
100054511000545119 ~1987
10005641600338478 ~1987
10005731200114638 ~1986
10005791200115838 ~1986
10005833600349998 ~1987
10006121600367278 ~1987
10006151200123038 ~1986
10006349800507938 ~1987
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
Exponent Prime Factor Digits Year
10009283200185678 ~1986
100093871000938719 ~1987
10009511200190238 ~1986
100096192402308579 ~1988
10009823200196478 ~1986
100100711801812799 ~1988
10010579200211598 ~1986
10010593600635598 ~1987
10010699200213998 ~1986
100110911001109119 ~1987
10011203200224078 ~1986
10011557600693438 ~1987
10011713600702798 ~1987
10011857800948578 ~1987
10012559200251198 ~1986
10012763200255278 ~1986
10013219200264398 ~1986
10013231200264638 ~1986
100132871602125939 ~1988
10013461600807678 ~1987
10013543200270878 ~1986
10013693600821598 ~1987
10013891200277838 ~1986
10013897801111778 ~1987
100139571401953999 ~1988
Exponent Prime Factor Digits Year
10014299200285998 ~1986
100144933004347919 ~1989
10014497801159778 ~1987
10014551200291038 ~1986
10014659200293198 ~1986
10014923200298478 ~1986
10015079200301598 ~1986
10015141600908478 ~1987
100151412203331039
10015391200307838 ~1986
100154871802787679 ~1988
10015727801258178 ~1987
10015919200318398 ~1986
10015979200319598 ~1986
10016243200324878 ~1986
10016483200329678 ~1986
10016711200334238 ~1986
10016717601003038 ~1987
10017311801384898 ~1987
10017659200353198 ~1986
10017779200355598 ~1986
10017977601078638 ~1987
10018037801442978 ~1987
10018121801449698 ~1987
10018201601092078 ~1987
1035
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25-09-07