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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
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
10019533601171998 ~1987
100195491402736879 ~1988
10019759200395198 ~1986
Exponent Prime Factor Digits Year
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
10024043200480878 ~1986
10024103200482078 ~1986
100241931403387039 ~1988
Exponent Prime Factor Digits Year
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
10029037601742238 ~1987
10029101601746078 ~1987
10029443200588878 ~1986
Exponent Prime Factor Digits Year
10029671200593438 ~1986
10029791200595838 ~1986
10029839200596798 ~1986
10030421601825278 ~1987
10030463200609278 ~1986
10030753601845198 ~1987
10030991200619838 ~1986
10030991802479298
10031137601868238 ~1987
10031579200631598 ~1986
100317431003174319 ~1987
10032013601920798 ~1987
10032073601924398 ~1987
100323911605182579 ~1988
10032553601953198 ~1987
10032563200651278 ~1986
10032611802608898 ~1987
10032917601975038 ~1987
10032923200658478 ~1986
10032937601976238 ~1987
10033091200661838 ~1986
10033229802658338 ~1987
100333696421356179 ~1989
10033571802685698 ~1987
10033619200672398 ~1986
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25-04-13