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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
628294141376976484710 ~2001
628310777376986466310 ~2001
62833153112566630620112 ~2005
628346963125669392710 ~2000
628400537377040322310 ~2001
628458251125691650310 ~2000
628462777377077666310 ~2001
628472483125694496710 ~2000
628474559125694911910 ~2000
628493057502794445710 ~2001
628504379125700875910 ~2000
628522151125704430310 ~2000
628525739125705147910 ~2000
628544879125708975910 ~2000
628570031125714006310 ~2000
628578959125715791910 ~2000
628584059125716811910 ~2000
628602899125720579910 ~2000
628609763125721952710 ~2000
628624301377174580710 ~2001
628626197502900957710 ~2001
628635779125727155910 ~2000
628638037377182822310 ~2001
628661993880126790310 ~2002
628693259125738651910 ~2000
Exponent Prime Factor Digits Year
628698599125739719910 ~2000
6287233131508935951311 ~2002
6287853591131813646311 ~2002
628822661377293596710 ~2001
628826501503061200910 ~2001
628854173377312503910 ~2001
628871219125774243910 ~2000
628875971503100776910 ~2001
628888943125777788710 ~2000
628896431125779286310 ~2000
628903199125780639910 ~2000
628909019125781803910 ~2000
628911971125782394310 ~2000
6289188979433783455111 ~2004
628979843125795968710 ~2000
628994111125798822310 ~2000
628997459125799491910 ~2000
629006243125801248710 ~2000
629026997377416198310 ~2001
629030771503224616910 ~2001
6290744231006519076911 ~2002
629096003125819200710 ~2000
629099651125819930310 ~2000
629105651125821130310 ~2000
629108423125821684710 ~2000
Exponent Prime Factor Digits Year
629122919125824583910 ~2000
629123711125824742310 ~2000
629145479125829095910 ~2000
629146121503316896910 ~2001
629147657377488594310 ~2001
629152571125830514310 ~2000
629163071125832614310 ~2000
629180933377508559910 ~2001
629189279125837855910 ~2000
629191379125838275910 ~2000
629218081377530848710 ~2001
629266031125853206310 ~2000
629277193377566315910 ~2001
629286071125857214310 ~2000
629304209503443367310 ~2001
629307671125861534310 ~2000
629324771125864954310 ~2000
629354717377612830310 ~2001
6293646011384602122311 ~2002
629403953377642371910 ~2001
629452283125890456710 ~2000
629475299125895059910 ~2000
629480933377688559910 ~2001
629490131125898026310 ~2000
629493659125898731910 ~2000
Exponent Prime Factor Digits Year
629498483125899696710 ~2000
629528591125905718310 ~2000
6296040714533149311311 ~2004
629616899125923379910 ~2000
629622443125924488710 ~2000
629628683125925736710 ~2000
629640311125928062310 ~2000
629644451125928890310 ~2000
629679863125935972710 ~2000
629690783125938156710 ~2000
629695523125939104710 ~2000
629698739125939747910 ~2000
629737259125947451910 ~2000
629786099125957219910 ~2000
629788199125957639910 ~2000
629836841377902104710 ~2001
629867159125973431910 ~2000
629931077377958646310 ~2001
629947511125989502310 ~2000
629959529881943340710 ~2002
629959621377975772710 ~2001
629985179125997035910 ~2000
629986079125997215910 ~2000
629991077377994646310 ~2001
629996903125999380710 ~2000
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25-04-13