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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
340576438173834339 ~1992
34057799681155998 ~1990
34057811681156238 ~1990
34059023681180478 ~1990
340590732043544399 ~1991
34059671681193438 ~1990
340598775449580339 ~1992
34060031333788303910 ~1994
34060259681205198 ~1990
34060931681218638 ~1990
34061003681220078 ~1990
34061099681221998 ~1990
34061711681234238 ~1990
34061831681236638 ~1990
34062251681245038 ~1990
34062659681253198 ~1990
34062683681253678 ~1990
34063091681261838 ~1990
34063499681269998 ~1990
34063811681276238 ~1990
34064711681294238 ~1990
34064819681296398 ~1990
34065131681302638 ~1990
34065359681307198 ~1990
340653592186996047911
Exponent Prime Factor Digits Year
34065539681310798 ~1990
34065719681314398 ~1990
340658812043952879 ~1991
34066523681330478 ~1990
34066559681331198 ~1990
34067063681341278 ~1990
340672378176136899 ~1992
34067591681351838 ~1990
340679212044075279 ~1991
34068791681375838 ~1990
34069103681382078 ~1990
34069331681386638 ~1990
34069643681392878 ~1990
34069943681398878 ~1990
340699578176789699 ~1992
34069991681399838 ~1990
34070243681404878 ~1990
34071083681421678 ~1990
34071599681431998 ~1990
34071899681437998 ~1990
34073183681463678 ~1990
34073843681476878 ~1990
34074263681485278 ~1990
340743172044459039 ~1991
340743172725945379
Exponent Prime Factor Digits Year
34074479681489598 ~1990
340752675452042739 ~1992
34075763681515278 ~1990
34077083681541678 ~1990
340772212044633279 ~1991
340773118860100879 ~1993
34077671681553438 ~1990
34078139681562798 ~1990
340787772044726639 ~1991
34078823681576478 ~1990
34079471681589438 ~1990
34080719681614398 ~1990
34080731681614638 ~1990
340809532044857199 ~1991
34081163681623278 ~1990
34081343681626878 ~1990
34081559681631198 ~1990
340816678179600099 ~1992
34082039681640798 ~1990
340824075453185139 ~1992
340824372044946239 ~1991
34083239681664798 ~1990
34084343681686878 ~1990
34084619681692398 ~1990
34084691681693838 ~1990
Exponent Prime Factor Digits Year
34085039681700798 ~1990
340850713408507119 ~1992
34085099681701998 ~1990
34085279681705598 ~1990
34085351681707038 ~1990
34086443681728878 ~1990
34087103681742078 ~1990
34087199681743998 ~1990
34087799681755998 ~1990
340879812045278879 ~1991
34088039681760798 ~1990
340882098181170179 ~1992
34088291681765838 ~1990
34088339681766798 ~1990
34088423681768478 ~1990
34088651681773038 ~1990
34088903681778078 ~1990
34089623681792478 ~1990
340901278863433039 ~1993
34090223681804478 ~1990
34090319681806398 ~1990
34090691681813838 ~1990
34090799681815998 ~1990
34091363681827278 ~1990
34091471681829438 ~1990
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25-11-02