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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
439699697263819818310 ~2000
4397018031407045769711 ~2001
4397045638794091279 ~1998
4397084038794168079 ~1998
4397222038794444079 ~1998
439748789351799031310 ~2000
439748797703598075310 ~2001
439794967791630940710 ~2001
439795921263877552710 ~2000
4398007198796014399 ~1998
4398212518796425039 ~1998
4398401171055616280911 ~2001
4398421318796842639 ~1998
439859653263915791910 ~2000
4398707038797414079 ~1998
4398956998797913999 ~1998
4399044118798088239 ~1998
439917091439917091110 ~2000
4399332118798664239 ~1998
4399339798798679599 ~1998
4399405198798810399 ~1998
4399633198799266399 ~1998
4399774918799549839 ~1998
4399802398799604799 ~1998
4399940998799881999 ~1998
Exponent Prime Factor Digits Year
4400310718800621439 ~1998
4400398438800796879 ~1998
4400424238800848479 ~1998
440043749352034999310 ~2000
4400470438800940879 ~1998
440049173264029503910 ~2000
4400523118801046239 ~1998
4400526118801052239 ~1998
440053261264031956710 ~2000
440059339440059339110 ~2000
440087147352069717710 ~2000
440092949352074359310 ~2000
4401122038802244079 ~1998
440116289352093031310 ~2000
4401166198802332399 ~1998
440158417264095050310 ~2000
440165113968363248710 ~2001
4401745198803490399 ~1998
4401890038803780079 ~1998
4401924718803849439 ~1998
440200451352160360910 ~2000
440212147704339435310 ~2001
4402241998804483999 ~1998
440228563440228563110 ~2000
4402296238804592479 ~1998
Exponent Prime Factor Digits Year
4402519213169813831311 ~2002
440277419352221935310 ~2000
440288143704461028910 ~2001
440289097264173458310 ~2000
4402935718805871439 ~1998
4403055118806110239 ~1998
440311819440311819110 ~2000
4403434571761373828111 ~2002
440348333264208999910 ~2000
440352197352281757710 ~2000
4403921038807842079 ~1998
4404050398808100799 ~1998
440421461264252876710 ~2000
4404249238808498479 ~1998
4404395638808791279 ~1998
4404408838808817679 ~1998
4404420718808841439 ~1998
4404486118808972239 ~1998
4404517798809035599 ~1998
4404681118809362239 ~1998
4404820438809640879 ~1998
4404934798809869599 ~1998
4404991798809983599 ~1998
440500477264300286310 ~2000
4405063438810126879 ~1998
Exponent Prime Factor Digits Year
440509313616713038310 ~2001
440532941264319764710 ~2000
440556541264333924710 ~2000
4405580398811160799 ~1998
440574437264344662310 ~2000
4405853398811706799 ~1998
440585909352468727310 ~2000
440587267440587267110 ~2000
440593193264355915910 ~2000
440599633264359779910 ~2000
4406399998812799999 ~1998
4406465534494594840711 ~2003
440648161264388896710 ~2000
4406535118813070239 ~1999
4406546998813093999 ~1999
4406771038813542079 ~1999
440692601264415560710 ~2000
4406940718813881439 ~1999
4406954411322086323111 ~2001
440710381264426228710 ~2000
4407176038814352079 ~1999
440731063440731063110 ~2000
440754337264452602310 ~2000
4407558118815116239 ~1999
440757197264454318310 ~2000
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25-06-08