Small Mersenne Prime Factors (page 950/5025)

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
8932117	53592703	8	~1986
8932139	17864279	8	~1985
8932271	17864543	8	~1985
8932457	53594743	8	~1986
8932481	53594887	8	~1986
8932733	53596399	8	~1986
8932883	17865767	8	~1985
8933231	17866463	8	~1985
8933297	267998911	9	~1988
8933339	17866679	8	~1985
8933437	53600623	8	~1986
8933569	268007071	9	~1988
8933623	89336231	8	~1987
8934071	17868143	8	~1985
8934083	17868167	8	~1985
8934173	53605039	8	~1986
8934521	71476169	8	~1987
8934631	89346311	8	~1987
8934743	17869487	8	~1985
8935021	196570463	9	~1988
8935231	160834159	9	~1988
8935313	53611879	8	~1986
8935541	53613247	8	~1986
8935631	17871263	8	~1985
8935637	53613823	8	~1986

Exp.	Prime Factor	Digits	Year
8935691	17871383	8	~1985
8935739	17871479	8	~1985
8935739	71485913	8
8935763	17871527	8	~1985
8935921	142974737	9	~1987
8936041	53616247	8	~1986
8936183	17872367	8	~1985
8936771	17873543	8	~1985
8936947	89369471	8	~1987
8936953	53621719	8	~1986
8937119	17874239	8	~1985
8937167	71497337	8	~1987
8937727	160879087	9	~1988
8937811	89378111	8	~1987
8938093	53628559	8	~1986
8938333	268149991	9	~1988
8938561	53631367	8	~1986
8938637	214527289	9	~1988
8938921	53633527	8	~1986
8939891	17879783	8	~1985
8939993	53639959	8	~1986
8940023	17880047	8	~1985
8940553	357622121	9	~1988
8940593	53643559	8	~1986
8940913	53645479	8	~1986

Exp.	Prime Factor	Digits	Year
8941057	53646343	8	~1986
8941781	286136993	9	~1988
8942039	17884079	8	~1985
8942111	71536889	8	~1987
8942159	17884319	8	~1985
8942993	53657959	8	~1986
8943023	17886047	8	~1985
8943323	17886647	8	~1985
8943359	17886719	8	~1985
8943437	53660623	8	~1986
8943601	53661607	8	~1986
8943673	53662039	8	~1986
8944361	53666167	8	~1986
8944571	161002279	9	~1988
8944603	89446031	8	~1987
8944679	17889359	8	~1985
8944973	53669839	8	~1986
8945351	17890703	8	~1985
8945441	71563529	8	~1987
8945821	53674927	8	~1986
8946251	17892503	8	~1985
8946719	17893439	8	~1985
8947031	858914977	9	~1989
8947331	17894663	8	~1985
8947511	17895023	8	~1985

Exp.	Prime Factor	Digits	Year
8948123	17896247	8	~1985
8948473	4134194527	10	~1991
8948711	17897423	8	~1985
8948921	53693527	8	~1986
8949037	143184593	9	~1987
8949071	17898143	8	~1985
8949601	53697607	8	~1986
8949797	53698783	8	~1986
8949797	214795129	9
8949839	4295922721	10	~1991
8950043	17900087	8	~1985
8950049	71600393	8	~1987
8950181	71601449	8	~1987
8951051	17902103	8	~1985
8951081	53706487	8	~1986
8951269	1647033497	10	~1990
8951339	17902679	8	~1985
8951399	17902799	8	~1985
8951687	71613497	8	~1987
8951711	17903423	8	~1985
8952323	17904647	8	~1985
8952431	17904863	8	~1985
8952479	17904959	8	~1985
8952511	143240177	9	~1987
8952673	572971073	9	~1989

4.724.182 digits

25-04-13