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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
3182255243636451048710 ~2005
3182268359636453671910 ~2005
3182302463636460492710 ~2005
3182415023636483004710 ~2005
3182610839636522167910 ~2005
31826821211909609272711 ~2006
3182817779636563555910 ~2005
31829274412546341952911 ~2007
3183218543636643708710 ~2005
3183306323636661264710 ~2005
3183400439636680087910 ~2005
3183482171636696434310 ~2005
3183524243636704848710 ~2005
3183612059636722411910 ~2005
3183875003636775000710 ~2005
3183881843636776368710 ~2005
3184208063636841612710 ~2005
3184209863636841972710 ~2005
3184229819636845963910 ~2005
3184284503636856900710 ~2005
31843090811910585448711 ~2006
31843146412547451712911 ~2007
3184532783636906556710 ~2005
3184600931636920186310 ~2005
3184674743636934948710 ~2005
Exponent Prime Factor Digits Year
31847234715095557553711 ~2007
3184764263636952852710 ~2005
3184810283636962056710 ~2005
3184833863636966772710 ~2005
3184852823636970564710 ~2005
3184856039636971207910 ~2005
3184951331636990266310 ~2005
3185039831637007966310 ~2005
3185172899637034579910 ~2005
3185332523637066504710 ~2005
31853446515096551441711 ~2007
3185388119637077623910 ~2005
31855324731911319483911 ~2006
3185647691637129538310 ~2005
3185846063637169212710 ~2005
3185853743637170748710 ~2005
318590182721026952058312 ~2009
31859164011911549840711 ~2006
31859233312548738664911 ~2007
31859390692548751255311 ~2007
31861308237646713975311 ~2008
31865295731911917743911 ~2006
3186617459637323491910 ~2005
31866991211912019472711 ~2006
318695597913385215111912 ~2008
Exponent Prime Factor Digits Year
3187046003637409200710 ~2005
31870698913187069891111 ~2007
3187194371637438874310 ~2005
3187236683637447336710 ~2005
31872770872549821669711 ~2007
31874509019562352703111 ~2008
3187486871637497374310 ~2005
31875566392550045311311 ~2007
3187699379637539875910 ~2005
3187743131637548626310 ~2005
31877933171912675990311 ~2006
3187809899637561979910 ~2005
3187932263637586452710 ~2005
3187949519637589903910 ~2005
3188404883637680976710 ~2005
3188487899637697579910 ~2005
3188526119637705223910 ~2005
3188559743637711948710 ~2005
3189037451637807490310 ~2005
31891003817016020838311 ~2008
3189190079637838015910 ~2005
3189277463637855492710 ~2005
3189309983637861996710 ~2005
31894077019568223103111 ~2008
3189421211637884242310 ~2005
Exponent Prime Factor Digits Year
3189431099637886219910 ~2005
3189492863637898572710 ~2005
318963037330620451580912 ~2009
3189640823637928164710 ~2005
31896603371913796202311 ~2006
31896870915741436763911 ~2008
31897101793189710179111 ~2007
3189739523637947904710 ~2005
31898025292551842023311 ~2007
31900081211914004872711 ~2006
3190032239638006447910 ~2005
3190255091638051018310 ~2005
31903962193190396219111 ~2007
3190483799638096759910 ~2005
3190641491638128298310 ~2005
3190721063638144212710 ~2005
3190766399638153279910 ~2005
3190792079638158415910 ~2005
3191020499638204099910 ~2005
31910530072552842405711 ~2007
3191286239638257247910 ~2005
3191288519638257703910 ~2005
3191323643638264728710 ~2005
31914677934468054910311 ~2007
3191511203638302240710 ~2005
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25-06-01