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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
4573136639146273279 ~1999
4573453799146907599 ~1999
4573475639146951279 ~1999
457362317274417390310 ~2000
457372303457372303110 ~2000
4573807439147614879 ~1999
457399913274439947910 ~2000
4574189999148379999 ~1999
4574299439148598879 ~1999
4574359439148718879 ~1999
4574394839148789679 ~1999
4574411999148823999 ~1999
4574531039149062079 ~1999
4574874839149749679 ~1999
457494281274496568710 ~2000
4574959319149918639 ~1999
4575006239150012479 ~1999
457517653274510591910 ~2000
457521019823537834310 ~2001
4575225119150450239 ~1999
457540663732065060910 ~2001
457541653732066644910 ~2001
4575436799150873599 ~1999
4575526319151052639 ~1999
4575711839151423679 ~1999
Exponent Prime Factor Digits Year
4575778439151556879 ~1999
4575823799151647599 ~1999
457587541274552524710 ~2000
457594877274556926310 ~2000
4575950039151900079 ~1999
457595701274557420710 ~2000
457600811366080648910 ~2000
4576364639152729279 ~1999
4576622211464519107311 ~2002
4576750199153500399 ~1999
4577005319154010639 ~1999
4577016839154033679 ~1999
457704193274622515910 ~2000
4577246999154493999 ~1999
457725689640815964710 ~2001
457735937366188749710 ~2000
457743053640840274310 ~2001
4577486399154972799 ~1999
4577512199155024399 ~1999
4577727239155454479 ~1999
457778501274667100710 ~2000
4577855519155711039 ~1999
4577988719155977439 ~1999
457807169366245735310 ~2000
4578104999156209999 ~1999
Exponent Prime Factor Digits Year
4578186599156373199 ~1999
457826519366261215310 ~2000
457832041274699224710 ~2000
457852133640992986310 ~2001
457855289640997404710 ~2001
457867087457867087110 ~2000
4578739319157478639 ~1999
4578753719157507439 ~1999
4578782519157565039 ~1999
4578892319157784639 ~1999
4579115639158231279 ~1999
457919717274751830310 ~2000
4579243319158486639 ~1999
4579244039158488079 ~1999
457936319366349055310 ~2000
4579468319158936639 ~1999
4579501919159003839 ~1999
457956181274773708710 ~2000
4579618872198217057711 ~2002
4579631999159263999 ~1999
457975547366380437710 ~2000
457977899366382319310 ~2000
457988477274793086310 ~2000
458004181274802508710 ~2000
4580053919160107839 ~1999
Exponent Prime Factor Digits Year
458015837641222171910 ~2001
458021093274812655910 ~2000
458028797274817278310 ~2000
4580336519160673039 ~1999
458035561732856897710 ~2001
458045831366436664910 ~2000
4580509199161018399 ~1999
4580888999161777999 ~1999
4580894519161789039 ~1999
4581061799162123599 ~1999
4581385919162771839 ~1999
4581594239163188479 ~1999
458175917274905550310 ~2000
458183863458183863110 ~2000
4581855719163711439 ~1999
4581869999163739999 ~1999
4581981719163963439 ~1999
4582001639164003279 ~1999
458210657274926394310 ~2000
4582139399164278799 ~1999
4582187519164375039 ~1999
4582224839164449679 ~1999
4582400899531393851311 ~2004
4582655891374796767111 ~2002
458275931366620744910 ~2000
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25-07-08