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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
4563745439127490879 ~1999
4563931491369179447111 ~2002
4564084799128169599 ~1999
4564114439128228879 ~1999
4564169639128339279 ~1999
456424597273854758310 ~2000
4564250691369275207111 ~2002
456436613273861967910 ~2000
4564489694016750927311 ~2003
456452041273871224710 ~2000
4564579799129159599 ~1999
4564650719129301439 ~1999
456473093273883855910 ~2000
4564823639129647279 ~1999
4564856519129713039 ~1999
4565064119130128239 ~1999
4565120519130241039 ~1999
4565155199130310399 ~1999
4565163839130327679 ~1999
4565290199130580399 ~1999
4565372399130744799 ~1999
4565519519131039039 ~1999
456552581273931548710 ~2000
456557993273934795910 ~2000
4565722799131445599 ~1999
Exponent Prime Factor Digits Year
4565724011004459282311 ~2001
4565989919131979839 ~1999
4566034319132068639 ~1999
4566348599132697199 ~1999
4566384719132769439 ~1999
4566484439132968879 ~1999
4566762719133525439 ~1999
4566979919133959839 ~1999
4566987471187416742311 ~2001
456703829639385360710 ~2001
4567044599134089199 ~1999
4567045439134090879 ~1999
4567094399134188799 ~1999
4567197239134394479 ~1999
456724153730758644910 ~2001
4567435439134870879 ~1999
4567663799135327599 ~1999
4567918319135836639 ~1999
456804659365443727310 ~2000
4568255039136510079 ~1999
4568297999136595999 ~1999
4568299319136598639 ~1999
4568307791096393869711 ~2001
4568392319136784639 ~1999
456841951456841951110 ~2000
Exponent Prime Factor Digits Year
456852821274111692710 ~2000
4568627399137254799 ~1999
4568903639137807279 ~1999
4569156719138313439 ~1999
456918073274150843910 ~2000
4569252239138504479 ~1999
4569311991096634877711 ~2001
4569328919138657839 ~1999
4569349799138699599 ~1999
4569390719138781439 ~1999
4569404999138809999 ~1999
4569511799139023599 ~1999
456951827365561461710 ~2000
4569554039139108079 ~1999
456962861274177716710 ~2000
456973327731157323310 ~2001
456978539365582831310 ~2000
4569823439139646879 ~1999
4569902039139804079 ~1999
4570053719140107439 ~1999
4570085999140171999 ~1999
457028519365622815310 ~2000
4570312319140624639 ~1999
457053557274232134310 ~2000
4570882799141765599 ~1999
Exponent Prime Factor Digits Year
4570924799141849599 ~1999
457099781274259868710 ~2000
457103567822786420710 ~2001
4571281799142563599 ~1999
4571347319142694639 ~1999
4571671319143342639 ~1999
4571953799143907599 ~1999
4572110999144221999 ~1999
4572117599144235199 ~1999
457215631731545009710 ~2001
4572170639144341279 ~1999
4572276239144552479 ~1999
4572368639144737279 ~1999
4572403319144806639 ~1999
457246697274348018310 ~2000
4572475432286237715111 ~2002
457256131457256131110 ~2000
4572582719145165439 ~1999
4572677999145355999 ~1999
4572755519145511039 ~1999
457286551457286551110 ~2000
4572871919145743839 ~1999
4572882599145765199 ~1999
457293671365834936910 ~2000
457312447457312447110 ~2000
3224
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25-07-08