Small Mersenne Prime Factors (page 1011/5430)

Small Mersenne Prime Factors
Prime numbers of the form M_p= 2^p − 1 are called Mersenne primes. For M_p to be prime, p must also be prime.
Any factor q of a Mersenne number 2^p − 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
9479843	18959687	8	~1985
9480181	56881087	8	~1987
9480277	56881663	8	~1987
9480397	56882383	8	~1987
9480479	18960959	8	~1985
9480479	303375329	9
9480517	56883103	8	~1987
9480539	18961079	8	~1985
9480923	18961847	8	~1985
9481061	56886367	8	~1987
9481217	75849737	8	~1987
9481331	18962663	8	~1985
9481487	170666767	9	~1988
9481523	18963047	8	~1985
9481603	94816031	8	~1987
9481673	56890039	8	~1987
9481711	94817111	8	~1987
9481711	151707377	9
9481963	94819631	8	~1987
9481991	530991497	9	~1989
9482113	208606487	9	~1988
9482353	56894119	8	~1987
9482381	56894287	8	~1987
9482411	18964823	8	~1985
9482717	56896303	8	~1987

Exp.	Prime Factor	Digits	Year
9482777	56896663	8	~1987
9482783	18965567	8	~1985
9483037	151728593	9	~1988
9483863	18967727	8	~1985
9484523	18969047	8	~1985
9484597	56907583	8	~1987
9484823	18969647	8	~1985
9484883	18969767	8	~1985
9485041	56910247	8	~1987
9485111	18970223	8	~1985
9485129	75881033	8	~1987
9485159	18970319	8	~1985
9485261	75882089	8	~1987
9485279	18970559	8	~1985
9485341	56912047	8	~1987
9485501	56913007	8	~1987
9485513	56913079	8	~1987
9485713	56914279	8	~1987
9485803	94858031	8	~1987
9485933	588127847	9	~1989
9486481	56918887	8	~1987
9486487	170756767	9	~1988
9486497	132810959	9	~1988
9486671	75893369	8	~1987
9486977	56921863	8	~1987

Exp.	Prime Factor	Digits	Year
9487001	56922007	8	~1987
9487319	18974639	8	~1985
9487781	56926687	8	~1987
9488093	56928559	8	~1987
9488471	18976943	8	~1985
9488579	18977159	8	~1985
9488621	75908969	8	~1987
9488639	18977279	8	~1985
9488779	94887791	8	~1987
9488819	18977639	8	~1985
9488957	56933743	8	~1987
9489881	56939287	8	~1987
9489917	56939503	8	~1987
9491093	56946559	8	~1987
9491147	75929177	8	~1987
9491483	18982967	8	~1985
9491597	56949583	8	~1987
9491711	18983423	8	~1985
9491819	18983639	8	~1985
9492089	75936713	8	~1987
9492181	56953087	8	~1987
9492221	56953327	8	~1987
9492697	56956183	8	~1987
9492779	18985559	8	~1985
9492863	18985727	8	~1985

Exp.	Prime Factor	Digits	Year
9492971	18985943	8	~1985
9493441	56960647	8	~1987
9493499	18986999	8	~1985
9493619	18987239	8	~1985
9493873	1803835871	10	~1990
9494081	284822431	9	~1988
9494123	18988247	8	~1985
9494137	56964823	8	~1987
9494257	56965543	8	~1987
9494291	18988583	8	~1985
9494461	968435023	9	~1990
9494783	18989567	8	~1985
9494827	911503393	9	~1990
9494939	18989879	8	~1985
9494957	75959657	8	~1987
9495071	18990143	8	~1985
9495841	56975047	8	~1987
9495973	56975839	8	~1987
9496043	18992087	8	~1985
9496439	18992879	8	~1985
9496451	18992903	8	~1985
9496559	18993119	8	~1985
9497353	227936473	9	~1988
9497591	18995183	8	~1985
9497651	18995303	8	~1985

5.127.372 digits

25-10-20