Small Mersenne Prime Factors (page 989/5085)

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
9538913	133544783	9	~1988
9539017	57234103	8	~1987
9539087	76312697	8	~1987
9539143	95391431	8	~1987
9539269	209863919	9	~1988
9539279	19078559	8	~1985
9539483	19078967	8	~1985
9539531	171711559	9	~1988
9539681	57238087	8	~1987
9539801	57238807	8	~1987
9539891	19079783	8	~1985
9539993	133559903	9	~1988
9540121	57240727	8	~1987
9540127	152642033	9	~1988
9540263	19080527	8	~1985
9540437	57242623	8	~1987
9540523	95405231	8	~1987
9540911	19081823	8	~1985
9540911	76327289	8
9541009	1125839063	10	~1990
9541177	57247063	8	~1987
9541241	57247447	8	~1987
9541271	19082543	8	~1985
9541577	57249463	8	~1987
9541901	57251407	8	~1987

Exp.	Prime Factor	Digits	Year
9542003	19084007	8	~1985
9542051	19084103	8	~1985
9542257	57253543	8	~1987
9542441	57254647	8	~1987
9542557	57255343	8	~1987
9543113	57258679	8	~1987
9543251	19086503	8	~1985
9543311	19086623	8	~1985
9543517	57261103	8	~1987
9543623	19087247	8	~1985
9544019	19088039	8	~1985
9544211	76353689	8	~1987
9544343	19088687	8	~1985
9544439	19088879	8	~1985
9544499	19088999	8	~1985
9544571	19089143	8	~1985
9544679	19089359	8	~1985
9544739	19089479	8	~1985
9544739	76357913	8
9544867	95448671	8	~1987
9545051	19090103	8	~1985
9545077	57270463	8	~1987
9545093	57270559	8	~1987
9545171	19090343	8	~1985
9545351	19090703	8	~1985

Exp.	Prime Factor	Digits	Year
9545513	57273079	8	~1987
9545563	152729009	9	~1988
9545933	57275599	8	~1987
9546041	76368329	8	~1987
9546431	19092863	8	~1985
9546479	19092959	8	~1985
9546497	57278983	8	~1987
9546599	19093199	8	~1985
9546611	76372889	8	~1987
9546737	76373897	8	~1987
9546893	57281359	8	~1987
9547019	19094039	8	~1985
9547151	19094303	8	~1985
9547271	171850879	9	~1988
9547477	57284863	8	~1987
9547511	19095023	8	~1985
9547621	57285727	8	~1987
9547799	19095599	8	~1985
9547927	152766833	9	~1988
9548417	57290503	8	~1987
9548579	19097159	8	~1985
9548597	57291583	8	~1987
9548603	19097207	8	~1985
9548677	57292063	8	~1987
9549101	76392809	8	~1987

Exp.	Prime Factor	Digits	Year
9549383	19098767	8	~1985
9549539	19099079	8	~1985
9549629	133694807	9	~1988
9550001	305600033	9	~1988
9550081	57300487	8	~1987
9550223	19100447	8	~1985
9550349	133704887	9	~1988
9550631	19101263	8	~1985
9551039	19102079	8	~1985
9551257	57307543	8	~1987
9551903	19103807	8	~1985
9551953	57311719	8	~1987
9551987	76415897	8	~1987
9552143	19104287	8	~1985
9552209	76417673	8	~1987
9552311	19104623	8	~1985
9552551	19105103	8	~1985
9552821	57316927	8	~1987
9553283	19106567	8	~1985
9553757	57322543	8	~1987
9553937	76431497	8	~1987
9553981	57323887	8	~1987
9555257	57331543	8	~1987
9555263	19110527	8	~1985
9555433	57332599	8	~1987

4.783.821 digits

25-05-11