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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
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
10014299200285998 ~1986
10014497801159778 ~1987
10014551200291038 ~1986
Exponent Prime Factor Digits Year
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
10017659200353198 ~1986
10017779200355598 ~1986
10017977601078638 ~1987
10018037801442978 ~1987
10018121801449698 ~1987
10018201601092078 ~1987
10018297601097838 ~1987
10018511200370238 ~1986
10018837601130238 ~1987
100189933005697919 ~1989
10019081801526498 ~1987
Exponent Prime Factor Digits Year
10019533601171998 ~1987
100195491402736879 ~1988
10019759200395198 ~1986
10019777801582178 ~1987
10019939200398798 ~1986
10020041801603298 ~1987
10020253601215198 ~1987
10020299801623938 ~1987
10020313601218798 ~1987
10020971200419438 ~1986
10021163200423278 ~1986
10021439200428798 ~1986
10021499200429998 ~1986
10021777601306638 ~1987
10021883200437678 ~1986
10022339200446798 ~1986
10022531200450638 ~1986
100225311804055599
10022543200450878 ~1986
100226691403173679 ~1988
10023407801872578 ~1987
10023683200473678 ~1986
10023817601429038 ~1987
10023911200478238 ~1986
10023911801912898
Exponent Prime Factor Digits Year
10024043200480878 ~1986
10024103200482078 ~1986
100241931403387039 ~1988
100244773007343119 ~1989
10025051200501038 ~1986
10025219200504398 ~1986
10025363200507278 ~1986
10025531200510638 ~1986
10025573601534398 ~1987
10025651200513038 ~1986
10025831200516638 ~1986
10026011200520238 ~1986
10026059200521198 ~1986
10026077802086178 ~1987
10026097601565838 ~1987
10026239200524798 ~1986
10026479200529598 ~1986
10026683200533678 ~1986
10027337601640238 ~1987
10027343200546878 ~1986
10027571200551438 ~1986
10027631200552638 ~1986
10028261601695678 ~1987
10028279200565598 ~1986
100285871604573939 ~1988
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25-05-04