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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.
Exp. Prime Factor Digits Year
7134107570728578 ~1986
7134119142682398 ~1984
7134131142682638 ~1984
71341812140254319 ~1987
7134251142685038 ~1984
7134341428060478 ~1986
7134601428076078 ~1986
71346611569625439 ~1987
7134767570781378 ~1986
7135061428103678 ~1986
7135199570815938 ~1986
7135217570817378 ~1986
7135379142707598 ~1984
7135391142707838 ~1984
7135559142711198 ~1984
7135643142712878 ~1984
7135813428148798 ~1986
7135853428151198 ~1986
7135901428154078 ~1986
7135949570875938 ~1986
7136021570881698 ~1986
71360275708821619 ~1988
71360812283545939 ~1987
7136099142721998 ~1984
7136401428184078 ~1986
Exp. Prime Factor Digits Year
7136483142729678 ~1984
7136497428189838 ~1986
7136663142733278 ~1984
7136771142735438 ~1984
7136917428215038 ~1986
7137853428271198 ~1986
7137913428274798 ~1986
71382173854637199 ~1988
7138409571072738 ~1986
7138619142772398 ~1984
7138643142772878 ~1984
7138919142778398 ~1984
7139123142782478 ~1984
7139189571135138 ~1986
7139437428366238 ~1986
7139519142790398 ~1984
7139543142790878 ~1984
7139567571165378 ~1986
7139933999590638 ~1987
7140047571203778 ~1986
71400471713611299
7140251142805038 ~1984
7140299142805998 ~1984
7140383142807678 ~1984
7140403714040318 ~1986
Exp. Prime Factor Digits Year
7140677571254178 ~1986
71407671713784099 ~1987
7140911142818238 ~1984
7140911571272898
7140923142818478 ~1984
7140997428459838 ~1986
71410092142302719 ~1987
7141103142822078 ~1984
7141361571308898 ~1986
7141451142829038 ~1984
7141643142832878 ~1984
7142039142840798 ~1984
7142321428539278 ~1986
7142699142853998 ~1984
7142819142856398 ~1984
7142939142858798 ~1984
7143377428602638 ~1986
7143377571470178
7143557571484578 ~1986
7143683142873678 ~1984
71437092143112719 ~1987
71438411571645039 ~1987
7143887571510978 ~1986
7144031142880638 ~1984
7144037428642238 ~1986
Exp. Prime Factor Digits Year
7144223142884478 ~1984
71443872857754819 ~1988
7144433428665998 ~1986
7144451142889038 ~1984
7144499142889998 ~1984
7144561428673678 ~1986
7144859142897198 ~1984
7144967571597378 ~1986
7144979142899598 ~1984
7145393428723598 ~1986
7145399142907998 ~1984
7145609571648738 ~1986
71456091000385279
7145819142916398 ~1984
71458218432068799 ~1989
7146197428771838 ~1986
7146521571721698 ~1986
7146677428800638 ~1986
7146719142934398 ~1984
7146941428816478 ~1986
7146947571755778 ~1986
7146959142939198 ~1984
7147093428825598 ~1986
7147121571769698 ~1986
7147297428837838 ~1986
816
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24-10-27