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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
4159435198318870399 ~1998
4159522198319044399 ~1998
4159583518319167039 ~1998
4159682518319365039 ~1998
415968893582356450310 ~2000
415978793582370310310 ~2000
415983721249590232710 ~1999
4159868038319736079 ~1998
4159928518319857039 ~1998
4160155438320310879 ~1998
4160210038320420079 ~1998
416022869582432016710 ~2000
4160273998320547999 ~1998
4160339398320678799 ~1998
416036867748866360710 ~2001
4160375518320751039 ~1998
416041559748874806310 ~2001
416046329998511189710 ~2001
4160554438321108879 ~1998
416060387332848309710 ~2000
4160604838321209679 ~1998
4160612518321225039 ~1998
416062121249637272710 ~1999
416063953249638371910 ~1999
416072117249643270310 ~1999
Exponent Prime Factor Digits Year
4160867398321734799 ~1998
4161185511331579363311 ~2001
4161286318322572639 ~1998
416129513249677707910 ~1999
4161331438322662879 ~1998
4161431038322862079 ~1998
416147197249688318310 ~1999
4161493198322986399 ~1998
4161502798323005599 ~1998
4161594598323189199 ~1998
4161640438323280879 ~1998
4161738718323477439 ~1998
416181901915600182310 ~2001
416198513249719107910 ~1999
4162030318324060639 ~1998
4162101838324203679 ~1998
416216341915675950310 ~2001
416217379998921709710 ~2001
416220641249732384710 ~1999
416226697665962715310 ~2001
416229461332983568910 ~2000
4162363198324726399 ~1998
4162400638324801279 ~1998
4162404598324809199 ~1998
4162527838325055679 ~1998
Exponent Prime Factor Digits Year
4162535038325070079 ~1998
4162560838325121679 ~1998
4162631038325262079 ~1998
4162631638325263279 ~1998
4162650718325301439 ~1998
416274877249764926310 ~1999
416303717582825203910 ~2000
4163117398326234799 ~1998
416325311333060248910 ~2000
416325557582855779910 ~2000
4163261998326523999 ~1998
4163415718326831439 ~1998
4163556238327112479 ~1998
4163580838327161679 ~1998
4163587798327175599 ~1998
4163803198327606399 ~1998
416382013249829207910 ~1999
4163826718327653439 ~1998
4163936518327873039 ~1998
416393737249836242310 ~1999
4164084118328168239 ~1998
4164314518328629039 ~1998
4164422638328845279 ~1998
4164464038328928079 ~1998
416449801666319681710 ~2001
Exponent Prime Factor Digits Year
4164601798329203599 ~1998
4164724671082828414311 ~2001
4164981718329963439 ~1998
4165032718330065439 ~1998
4165289398330578799 ~1998
416537021333229616910 ~2000
416537899416537899110 ~2000
41656145919328451697712 ~2004
416588849583224388710 ~2000
4166005318332010639 ~1998
416612233666579572910 ~2001
4166237998332475999 ~1998
416642323416642323110 ~2000
4166486518332973039 ~1998
4166521798333043599 ~1998
4166693998333387999 ~1998
4166724118333448239 ~1998
4166941438333882879 ~1998
4166985718333971439 ~1998
4167105838334211679 ~1998
416711773250027063910 ~1999
4167132118334264239 ~1998
4167168718334337439 ~1998
416747953250048771910 ~1999
416753539750156370310 ~2001
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25-04-13