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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
619822019123964403910 ~2000
619839119123967823910 ~2000
619839791123967958310 ~2000
6198457731859537319111 ~2003
619850459123970091910 ~2000
619853963123970792710 ~2000
619861883123972376710 ~2000
619865303123973060710 ~2000
619901339123980267910 ~2000
619910051123982010310 ~2000
619913771123982754310 ~2000
619934881371960928710 ~2001
619939081371963448710 ~2001
619956803123991360710 ~2000
619961851619961851110 ~2001
619990439123998087910 ~2000
619993271123998654310 ~2000
6200061111116010999911 ~2002
620035961372021576710 ~2001
620048483124009696710 ~2000
620050043124010008710 ~2000
620081999124016399910 ~2000
620089661372053796710 ~2001
620113883124022776710 ~2000
620141999124028399910 ~2000
Exponent Prime Factor Digits Year
620148863124029772710 ~2000
620156063124031212710 ~2000
620162663124032532710 ~2000
620166311124033262310 ~2000
620167637372100582310 ~2001
6201709091364375999911 ~2002
6201717071488412096911 ~2002
620204899620204899110 ~2001
620212451124042490310 ~2000
620215019124043003910 ~2000
620247623124049524710 ~2000
620269571124053914310 ~2000
620284271124056854310 ~2000
620316863124063372710 ~2000
6203413691364751011911 ~2002
620355803124071160710 ~2000
620378903124075780710 ~2000
620393531124078706310 ~2000
6204108231488985975311 ~2002
620427023124085404710 ~2000
620458541496366832910 ~2001
620478431124095686310 ~2000
620483711124096742310 ~2000
620484239124096847910 ~2000
620504771496403816910 ~2001
Exponent Prime Factor Digits Year
620528939124105787910 ~2000
620539739124107947910 ~2000
620578481496462784910 ~2001
620590337372354202310 ~2001
620594483124118896710 ~2000
620602343124120468710 ~2000
6206042231489450135311 ~2002
620619653372371791910 ~2001
620624591124124918310 ~2000
620643623124128724710 ~2000
620644163124128832710 ~2000
620656391496525112910 ~2001
620671697496537357710 ~2001
620723171124144634310 ~2000
620748431124149686310 ~2000
620750303124150060710 ~2000
620776043124155208710 ~2000
620783123124156624710 ~2000
620788139124157627910 ~2000
6208174691489961925711 ~2002
620820731124164146310 ~2000
620824331124164866310 ~2000
620829659124165931910 ~2000
620857931124171586310 ~2000
620876843124175368710 ~2000
Exponent Prime Factor Digits Year
620882231124176446310 ~2000
6209099171490183800911 ~2002
6209287671117671780711 ~2002
6209300692980464331311 ~2003
620978063124195612710 ~2000
620985611124197122310 ~2000
6209896392111364772711 ~2003
620999699124199939910 ~2000
621010319124202063910 ~2000
621016219621016219110 ~2001
621042479124208495910 ~2000
621049277372629566310 ~2001
621053263621053263110 ~2001
621070379124214075910 ~2000
621078011124215602310 ~2000
621089477869525267910 ~2002
621090293372654175910 ~2001
621105011124221002310 ~2000
621110159124222031910 ~2000
621116663124223332710 ~2000
621123539124224707910 ~2000
621155891124231178310 ~2000
621161819124232363910 ~2000
621175319124235063910 ~2000
621193451124238690310 ~2000
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25-04-13