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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
34495283689905678 ~1990
344955772069734639 ~1991
34495619689912398 ~1990
34496279689925598 ~1990
34496303689926078 ~1990
34496411689928238 ~1990
344964532069787199 ~1991
344972272759778179 ~1991
34497503689950078 ~1990
34497623689952478 ~1990
34497839689956798 ~1990
34497971689959438 ~1990
34498811689976238 ~1990
34499711689994238 ~1990
34499771689995438 ~1990
344999572759996579 ~1991
34500239690004798 ~1990
34500901469212253710 ~1994
34500971690019438 ~1990
345011396210205039 ~1992
34501331690026638 ~1990
34501991690039838 ~1990
345021132070126799 ~1991
34502243690044878 ~1990
34503169103509507110 ~1993
Exponent Prime Factor Digits Year
34503299690065998 ~1990
34503383690067678 ~1990
34504031690080638 ~1990
345044532070267199 ~1991
34505771690115438 ~1990
345058972070353839 ~1991
34506011690120238 ~1990
34506119690122398 ~1990
34506779690135598 ~1990
34506971690139438 ~1990
34507919690158398 ~1990
34508219690164398 ~1990
34508339690166798 ~1990
34508711690174238 ~1990
34508723690174478 ~1990
34508879690177598 ~1990
34509121158741956710 ~1993
34509383690187678 ~1990
34509539690190798 ~1990
345097732070586399 ~1991
34510919690218398 ~1990
34511423690228478 ~1990
34511531690230638 ~1990
34513151690263038 ~1990
34514903255410282310 ~1994
Exponent Prime Factor Digits Year
34514999690299998 ~1990
34515119690302398 ~1990
34515359690307198 ~1990
34515671690313438 ~1990
345160372070962239 ~1991
34516067193289975310 ~1993
34516199690323998 ~1990
34516211690324238 ~1990
34516439690328798 ~1990
34516679690333598 ~1990
34518119690362398 ~1990
34518311690366238 ~1990
34518479690369598 ~1990
34518511662755411310 ~1995
345191392761531139 ~1991
34519223690384478 ~1990
34519763690395278 ~1990
345197694832767679 ~1992
34519799690395998 ~1990
34521419690428398 ~1990
34521659690433198 ~1990
34522079690441598 ~1990
34522391690447838 ~1990
34522751690455038 ~1990
34523003690460078 ~1990
Exponent Prime Factor Digits Year
345230812071384879 ~1991
345232192761857539 ~1991
34524323690486478 ~1990
345247974833471599 ~1992
345248716214476799 ~1992
34524923690498478 ~1990
34525391690507838 ~1990
34525499690509998 ~1990
34525811690516238 ~1990
34525919690518398 ~1990
34527359690547198 ~1990
34527659690553198 ~1990
34527851690557038 ~1990
34528199690563998 ~1990
345282316215081599 ~1992
34528463690569278 ~1990
345285412071712479 ~1991
34529123690582478 ~1990
34529471690589438 ~1990
34530071690601438 ~1990
34530539690610798 ~1990
34530563690611278 ~1990
34530911690618238 ~1990
34531019690620398 ~1990
34531043690620878 ~1990
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25-11-02