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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
4117749598235499199 ~1998
4117957318235914639 ~1998
411797693247078615910 ~1999
411797929988315029710 ~2001
4118005918236011839 ~1998
4118029918236059839 ~1998
4118045518236091039 ~1998
411808157329446525710 ~2000
4118172238236344479 ~1998
4118225038236450079 ~1998
4118256118236512239 ~1998
4118297638236595279 ~1998
411841879411841879110 ~2000
411851821247111092710 ~1999
4118540398237080799 ~1998
411854591329483672910 ~2000
4118799598237599199 ~1998
411887137247132282310 ~1999
4118896271647558508111 ~2001
4118931598237863199 ~1998
4118935198237870399 ~1998
4118996998237993999 ~1998
4119050518238101039 ~1998
411910777247146466310 ~1999
411913699741444658310 ~2001
Exponent Prime Factor Digits Year
4119174838238349679 ~1998
4119254638238509279 ~1998
411930209576702292710 ~2000
411948869329559095310 ~2000
4119569998239139999 ~1998
411962891329570312910 ~2000
411968993247181395910 ~1999
4119717838239435679 ~1998
4119788398239576799 ~1998
4119822118239644239 ~1998
4120084798240169599 ~1998
412020859412020859110 ~2000
412038559741669406310 ~2001
412042667329634133710 ~2000
4120430398240860799 ~1998
412045981247227588710 ~1999
4120579798241159599 ~1998
4120582198241164399 ~1998
4120610038241220079 ~1998
4120737718241475439 ~1998
4120829398241658799 ~1998
4121088118242176239 ~1998
4121093398242186799 ~1998
4121267038242534079 ~1998
4121365918242731839 ~1998
Exponent Prime Factor Digits Year
412148993247289395910 ~1999
4121882691978503691311 ~2002
412189153906816136710 ~2001
4121971198243942399 ~1998
4122104998244209999 ~1998
412212497247327498310 ~1999
4122136198244272399 ~1998
4122148798244297599 ~1998
4122155398244310799 ~1998
4122233518244467039 ~1998
4122237118244474239 ~1998
412224149329779319310 ~2000
412224751412224751110 ~2000
4122285598244571199 ~1998
4122314998244629999 ~1998
412241777247345066310 ~1999
4122467398244934799 ~1998
4122633598245267199 ~1998
4122655198245310399 ~1998
4122679931236803979111 ~2001
412307491412307491110 ~2000
412313549577238968710 ~2000
4123215718246431439 ~1998
4123402318246804639 ~1998
4123513438247026879 ~1998
Exponent Prime Factor Digits Year
4123545838247091679 ~1998
4123598518247197039 ~1998
4123906918247813839 ~1998
4123915198247830399 ~1998
412395281247437168710 ~1999
412400171329920136910 ~2000
4124105038248210079 ~1998
412425103412425103110 ~2000
4124266438248532879 ~1998
412431479329945183310 ~2000
4124550838249101679 ~1998
4124644438249288879 ~1998
4124810398249620799 ~1998
412499693989999263310 ~2001
412500617577500863910 ~2000
4125043438250086879 ~1998
4125179518250359039 ~1998
412518761330015008910 ~2000
4125365638250731279 ~1998
4125389398250778799 ~1998
4125567598251135199 ~1998
4125670918251341839 ~1998
412585807412585807110 ~2000
4125867118251734239 ~1998
4125927598251855199 ~1998
3191
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25-07-20