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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
200222591640712291310 ~1999
2002241514004483039 ~1996
200225693120135415910 ~1997
2002351794004703599 ~1996
2002358634004717279 ~1996
2002555914005111839 ~1996
2002599594005199199 ~1996
20026066124632061303112 ~2003
2002651794005303599 ~1996
2002671834005343679 ~1996
2002693434005386879 ~1996
2002773834005547679 ~1996
2002797594005595199 ~1996
2002825314005650639 ~1996
2002840434005680879 ~1996
200289821120173892710 ~1997
2002906914005813839 ~1996
2002929594005859199 ~1996
200299481160239584910 ~1997
2003033034006066079 ~1996
2003065914006131839 ~1996
200310857120186514310 ~1997
200311253120186751910 ~1997
2003123634006247279 ~1996
2003128211762752824911 ~2000
Exponent Prime Factor Digits Year
2003146194006292399 ~1996
200324477280454267910 ~1998
200334637120200782310 ~1997
2003349714006699439 ~1996
2003396514006793039 ~1996
200341319160273055310 ~1997
2003437434006874879 ~1996
2003473794006947599 ~1996
200348881120209328710 ~1997
200355433120213259910 ~1997
2003585514007171039 ~1996
2003678034007356079 ~1996
200370253120222151910 ~1997
200370293280518410310 ~1998
2003704194007408399 ~1996
2003709834007419679 ~1996
200378621120227172710 ~1997
2003803194007606399 ~1996
2003812314007624639 ~1996
2003826594007653199 ~1996
2003865834007731679 ~1996
2003896914007793839 ~1996
200399671200399671110 ~1998
2004034914008069839 ~1996
2004167394008334799 ~1996
Exponent Prime Factor Digits Year
200418557280585979910 ~1998
2004212394008424799 ~1996
200423753120254251910 ~1997
2004247434008494879 ~1996
2004250794008501599 ~1996
2004263994008527999 ~1996
2004311634008623279 ~1996
2004349914008699839 ~1996
2004418314008836639 ~1996
200442377120265426310 ~1997
2004451914008903839 ~1996
200445571320712913710 ~1998
2004470034008940079 ~1996
200452237120271342310 ~1997
200459179360826522310 ~1998
2004638394009276799 ~1996
2004793794009587599 ~1996
2005004634010009279 ~1996
2005124394010248799 ~1996
2005124634010249279 ~1996
2005146594010293199 ~1996
200515517120309310310 ~1997
200518979160415183310 ~1997
2005340394010680799 ~1996
2005346994010693999 ~1996
Exponent Prime Factor Digits Year
200535073120321043910 ~1997
2005377834010755679 ~1996
2005444794010889599 ~1996
2005462434010924879 ~1996
2005465194010930399 ~1996
2005469394010938799 ~1996
2005482234010964479 ~1996
200549101601647303110 ~1999
2005517514011035039 ~1996
2005546314011092639 ~1996
2005621434011242879 ~1996
200587421120352452710 ~1997
2005912434011824879 ~1996
2006040114012080239 ~1996
200604821120362892710 ~1997
2006083794012167599 ~1996
200611787160489429710 ~1997
200612179200612179110 ~1998
2006123394012246799 ~1996
200612813120367687910 ~1997
2006231514012463039 ~1996
200625473120375283910 ~1997
2006275434012550879 ~1996
2006319234012638479 ~1996
2006330034012660079 ~1996
2759
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25-04-20