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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
7941959635356738 ~1986
79420311429565599 ~1987
7942163158843278 ~1985
7942211158844238 ~1985
7942223158844478 ~1985
7942387794238718 ~1987
7942477476548638 ~1986
7942481635398498 ~1986
7942523158850478 ~1985
7942559635404738 ~1986
79429191906300579 ~1988
7942967635437378 ~1986
7943081476584878 ~1986
79432632700709439 ~1988
7943357476601438 ~1986
7943513476610798 ~1986
7943557476613438 ~1986
7943597635487778 ~1986
7943753476625198 ~1986
7943759158875198 ~1985
7944061476643678 ~1986
7944221476653278 ~1986
7944227635538178 ~1986
7944241476654478 ~1986
79442591429966639 ~1987
Exp. Prime Factor Digits Year
7944791158895838 ~1985
7945031635602498 ~1986
79450373813617779 ~1988
7945079158901598 ~1985
79451391430125039 ~1987
7945313476718798 ~1986
79459095721054499 ~1989
7945979158919598 ~1985
7946417476785038 ~1986
7946483158929678 ~1985
7946557476793438 ~1986
7946843158936878 ~1985
7947011158940238 ~1985
7947013476820798 ~1986
7947059158941198 ~1985
7947061476823678 ~1986
7947221476833278 ~1986
7947521635801698 ~1986
7947601476856078 ~1986
79476012384280319
7947839158956798 ~1985
7948091158961838 ~1985
7948151158963038 ~1985
7948261476895678 ~1986
7948393476903598 ~1986
Exp. Prime Factor Digits Year
7948487635878978 ~1986
7948513476910798 ~1986
7948529635882338 ~1986
7948543794854318 ~1987
7948691635895298 ~1986
7948931158978638 ~1985
7948991158979838 ~1985
7949171158983438 ~1985
79491717631204179
7949317476959038 ~1986
7949411158988238 ~1985
7949537635962978 ~1986
7949759158995198 ~1985
7950197477011838 ~1986
7950251159005038 ~1985
7950311159006238 ~1985
79503471431062479 ~1987
7950359159007198 ~1985
7950419159008398 ~1985
7950451795045118 ~1987
7950541477032478 ~1986
7950707636056578 ~1986
7950791159015838 ~1985
7951103159022078 ~1985
7951201477072078 ~1986
Exp. Prime Factor Digits Year
7951211159024238 ~1985
7951301636104098 ~1986
7951403159028078 ~1985
7951523159030478 ~1985
7951681477100878 ~1986
7951711795171118 ~1987
7951751636140098 ~1986
7952099159041998 ~1985
7952171636173698 ~1986
7952363159047278 ~1985
7952389496229073710 ~1991
7952471159049438 ~1985
7952677477160638 ~1986
79530791908738979 ~1988
79531096998735939 ~1989
79531335726255779 ~1989
7953347636267778 ~1986
7953359159067198 ~1985
79536773022397279 ~1988
7953899159077998 ~1985
7953923159078478 ~1985
7954031159080638 ~1985
79549793977489519 ~1988
7955117140010059310 ~1990
7955279636422338 ~1986
915
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25-11-02