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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.
Exp. Prime Factor Digits Year
406669181333837 ~1983
4066709325336738 ~1984
4066759406675918 ~1984
40667891220036719 ~1985
4066981244018878 ~1984
4067027976086498 ~1985
4067039732067038 ~1985
4067207325376578 ~1984
4067257650761138 ~1985
4067263406726318 ~1984
4067291325383298 ~1984
406736381347277 ~1983
4067489569448478 ~1985
406757981351597 ~1983
4067597244055838 ~1984
406763981352797 ~1983
4067737244064238 ~1984
406796381359277 ~1983
4067971650875378 ~1985
4068041325443298 ~1984
406850381370077 ~1983
4068511650961778 ~1985
406856381371277 ~1983
406861181372237 ~1983
40686111708816639
Exp. Prime Factor Digits Year
406873181374637 ~1983
40688771627550819 ~1986
40689431666639052911 ~1991
406895981379197 ~1983
4068979406897918 ~1984
4068989325519138 ~1984
4069027406902718 ~1984
4069073569670238 ~1985
406913981382797 ~1983
4069271325541698 ~1984
4069327406932718 ~1984
406934381386877 ~1983
4069433569720638 ~1985
4069489895287598 ~1985
406967981393597 ~1983
4069699406969918 ~1984
4069757244185438 ~1984
4069787325582978 ~1984
4069837244190238 ~1984
4069937325594978 ~1984
406999181399837 ~1983
407005181401037 ~1983
407021981404397 ~1983
4070321244219278 ~1984
40703831383930239 ~1986
Exp. Prime Factor Digits Year
407051981410397 ~1983
407054381410877 ~1983
407071181414237 ~1983
4070861325668898 ~1984
4070947977027298 ~1985
4071031407103118 ~1984
4071047325683778 ~1984
4071497570009598 ~1985
407165981433197 ~1983
4071659325732738
40717611221528319 ~1985
4071869325749538 ~1984
4071877244312638 ~1984
4071917570068398 ~1985
4072007325760578 ~1984
40720071058721839
40720091221602719 ~1985
4072291407229118 ~1984
4072399733031838 ~1985
4072459407245918 ~1984
4072531651604978 ~1985
407261981452397 ~1983
4072637325810978 ~1984
4072837977480898 ~1985
40728371221851119
Exp. Prime Factor Digits Year
4073023407302318 ~1984
407317181463437 ~1983
40731711303414739
40731712036585519
407333981466797 ~1983
407335181467037 ~1983
4073371733206798 ~1985
4073513977643138 ~1985
4073567977656098 ~1985
4073621244417278 ~1984
407383181476637 ~1983
4073851651816178 ~1985
407387981477597 ~1983
40739171874001839 ~1986
407402381480477 ~1983
40742091303746899 ~1986
407426381485277 ~1983
4074377570412798 ~1985
407441981488397 ~1983
4074523407452318 ~1984
4074677244480638 ~1984
4074677977922498
407474381494877 ~1983
4074793244487598 ~1984
40748696193800899 ~1987
600
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25-05-04