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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
827310423997 1958
8273280620178
8273620144098
8287368771518 1961
82931990336 1958
83173825836 1958
8353501195 1958
8377502635 1958
83771340336
83777874396
837725968717
838792760237 1958
84194883036 1958
84233537676 1958
8429674335 1958
84294551676
84299271916
84318093776 1958
846114045277 1958
84672032096 1958
846766550637
85016800816 1958
85132724176 1958
85371478437679 1963
8539136624018 1961
Exp. Prime Factor Digits Year
8563324023938 1961
8573123451218 1961
85974814336 1958
8599859915 1958
86292588716 1958
8663173275 1958
866926180397 1958
86932607916 1958
86994175536 1958
8699437907678
871316031937 1958
871928772717 1958
873125145297 1958
87376814876 1958
873766401217
8741699295 1958
874159263997
87611927436 1958
87832283596 1958
880328345677 1958
88072289836 1958
88214057676 1958
883965231837 1958
8849523683838 1961
88498159...0256792637 2001
Exp. Prime Factor Digits Year
8867709375 1958
89291964396 1958
8933362322498 1961
8951179035 1958
89636632636 1958
8969133458738 1961
900115121697 1958
9007900715 1958
90297223216 1958
9029259132318
9049287215278 1961
9049289387038
9059181195 1958
9059302932978
910949552977 1958
9109496258338
91271460336 1958
912787071597
913710050717 1958
913727045537
915730767537 1958
91734953436 1958
918113771517 1958
9199533542018 1961
92217192396 1958
Exp. Prime Factor Digits Year
928359411217 1958
9283293528478
9283340314798
9283415321438
931114152737 1958
93238950096 1958
933726143617 1958
933728384497
9341747295 1958
93431494896 1958
9371187435 1958
9391939115 1958
93972255296 1958
939724056337
940325764237 1958
940357358317
9419188395 1958
942185731117 1958
94316790336 1958
9461756895 1958
9479189595 1958
9479485324818
94915314976 1958
94975318336 1958
9511951115 1958
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