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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
2247075594494151199 ~1996
2247099114494198239 ~1996
2247234234494468479 ~1996
2247306594494613199 ~1996
2247318834494637679 ~1996
2247323034494646079 ~1996
2247368394494736799 ~1996
2247381594494763199 ~1996
2247417114494834239 ~1996
2247457914494915839 ~1996
2247555234495110479 ~1996
2247655434495310879 ~1996
2247664914495329839 ~1996
2247680394495360799 ~1996
224772017179817613710 ~1998
2247771234495542479 ~1996
2247865914495731839 ~1996
2247930111258840861711 ~2000
2247963114495926239 ~1996
224806357134883814310 ~1997
2248219794496439599 ~1996
2248320594496641199 ~1996
2248354914496709839 ~1996
224836399224836399110 ~1998
224836813134902087910 ~1997
Exponent Prime Factor Digits Year
2248434714496869439 ~1996
2248454034496908079 ~1996
2248499514496999039 ~1996
2248522914497045839 ~1996
224852981179882384910 ~1998
2248617234497234479 ~1996
2248650714497301439 ~1996
224867623224867623110 ~1998
2248952394497904799 ~1996
2248971714497943439 ~1996
2248985394497970799 ~1996
2249000514498001039 ~1996
2249027394498054799 ~1996
2249123514498247039 ~1996
2249292834498585679 ~1996
2249351034498702079 ~1996
2249383914498767839 ~1996
2249552394499104799 ~1996
224956681134974008710 ~1997
224964217359942747310 ~1998
2249658594499317199 ~1996
2249758434499516879 ~1996
224975843539942023310
2249771634499543279 ~1996
2249788434499576879 ~1996
Exponent Prime Factor Digits Year
2249795634499591279 ~1996
2249983794499967599 ~1996
225001099900004396110 ~1999
225005213135003127910 ~1997
2250115434500230879 ~1996
225020219720064700910 ~1999
2250213234500426479 ~1996
2250224034500448079 ~1996
2250261114500522239 ~1996
225035957135021574310 ~1997
2250373914500747839 ~1996
225041977135025186310 ~1997
225044041135026424710 ~1997
2250444114500888239 ~1996
2250461634500923279 ~1996
2250535194501070399 ~1996
225054367225054367110 ~1998
2250611634501223279 ~1996
2250658314501316639 ~1996
225068099180054479310 ~1998
225070193135042115910 ~1997
225074459180059567310 ~1998
225081293135048775910 ~1997
2250825234501650479 ~1996
2250868194501736399 ~1996
Exponent Prime Factor Digits Year
2250871434501742879 ~1996
2250898314501796639 ~1996
225090479180072383310 ~1998
2250908394501816799 ~1996
2250911514501823039 ~1996
2251013394502026799 ~1996
225112567225112567110 ~1998
2251143594502287199 ~1996
225115057135069034310 ~1997
225121441135072864710 ~1997
225123413720394921710 ~1999
2251237194502474399 ~1996
225124853135074911910 ~1997
2251282194502564399 ~1996
2251298514502597039 ~1996
2251302714502605439 ~1996
225133663225133663110 ~1998
225134597135080758310 ~1997
2251407594502815199 ~1996
225159497135095698310 ~1997
225167009675501027110 ~1999
2251698234503396479 ~1996
2251802394503604799 ~1996
2251818714503637439 ~1996
2251829394503658799 ~1996
3037
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25-12-14