Small Mersenne Prime Factors (page 911/5460)

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
7883333	47299999	8	~1986
7883341	47300047	8	~1986
7883507	378408337	9	~1988
7883717	47302303	8	~1986
7883819	819917177	9	~1989
7883839	189212137	9	~1987
7884119	15768239	8	~1985
7884683	15769367	8	~1985
7884871	78848711	8	~1987
7885453	47312719	8	~1986
7885511	15771023	8	~1985
7885523	15771047	8	~1985
7885901	47315407	8	~1986
7886111	63088889	8	~1986
7886639	15773279	8	~1985
7886687	63093497	8	~1986
7886693	47320159	8	~1986
7886699	63093593	8	~1986
7886783	15773567	8	~1985
7886789	110415047	9	~1987
7886797	362792663	9	~1988
7887247	78872471	8	~1987
7887317	189295609	9	~1987
7887409	504794177	9	~1989
7887427	126198833	9	~1987

Exp.	Prime Factor	Digits	Year
7887611	15775223	8	~1985
7887707	63101657	8	~1986
7887721	47326327	8	~1986
7887953	47327719	8	~1986
7888037	110432519	9	~1987
7888157	63105257	8	~1986
7888217	63105737	8	~1986
7888451	15776903	8	~1985
7888483	78884831	8	~1987
7888877	47333263	8	~1986
7888919	63111353	8	~1986
7888921	47333527	8	~1986
7889059	142003063	9	~1987
7889099	63112793	8	~1986
7889291	15778583	8	~1985
7889291	63114329	8
7889627	63117017	8	~1986
7889639	63117113	8	~1986
7889663	15779327	8	~1985
7889723	15779447	8	~1985
7889881	47339287	8	~1986
7889891	15779783	8	~1985
7890119	15780239	8	~1985
7890119	142022143	9
7890143	15780287	8	~1985

Exp.	Prime Factor	Digits	Year
7890191	15780383	8	~1985
7890251	15780503	8	~1985
7890607	142030927	9	~1987
7890611	15781223	8	~1985
7890923	15781847	8	~1985
7891031	63128249	8	~1986
7891211	15782423	8	~1985
7891379	15782759	8	~1985
7891739	15783479	8	~1985
7891979	15783959	8	~1985
7891979	63135833	8
7892051	15784103	8	~1985
7892057	47352343	8	~1986
7892257	47353543	8	~1986
7892603	15785207	8	~1985
7893047	63144377	8	~1986
7893311	15786623	8	~1985
7893331	78933311	8	~1987
7893359	63146873	8	~1986
7893533	47361199	8	~1986
7893581	47361487	8	~1986
7893673	47362039	8	~1986
7893779	15787559	8	~1985
7894021	47364127	8	~1986
7894153	236824591	9	~1988

Exp.	Prime Factor	Digits	Year
7894219	78942191	8	~1987
7894619	63156953	8	~1986
7894751	15789503	8	~1985
7894807	78948071	8	~1987
7894871	15789743	8	~1985
7894961	236848831	9	~1988
7895081	47370487	8	~1986
7895183	15790367	8	~1985
7895603	15791207	8	~1985
7895651	63165209	8	~1986
7895653	47373919	8	~1986
7895663	15791327	8	~1985
7895683	884316497	9	~1989
7895807	63166457	8	~1986
7895929	236877871	9	~1988
7896071	15792143	8	~1985
7896271	78962711	8	~1987
7896431	15792863	8	~1985
7896527	63172217	8	~1986
7896803	15793607	8	~1985
7897031	15794063	8	~1985
7897031	63176249	8
7897321	47383927	8	~1986
7897397	63179177	8	~1986
7897453	47384719	8	~1986

5.157.210 digits

25-11-02