Small Mersenne Prime Factors (page 919/5925)

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
7650719	15301439	8	~1985
7650941	61207529	8	~1986
7651087	76510871	8	~1986
7651097	45906583	8	~1986
7651121	61208969	8	~1986
7651151	15302303	8	~1985
7651211	244838753	9	~1988
7651643	15303287	8	~1985
7652017	45912103	8	~1986
7652083	76520831	8	~1986
7652119	76521191	8	~1986
7652213	45913279	8	~1986
7652471	15304943	8	~1985
7652693	45916159	8	~1986
7652783	15305567	8	~1985
7653047	61224377	8	~1986
7653263	15306527	8	~1985
7653307	76533071	8	~1986
7653313	45919879	8	~1986
7653623	183686953	9	~1987
7653691	137766439	9	~1987
7653727	76537271	8	~1986
7653761	45922567	8	~1986
7653797	45922783	8	~1986
7654499	15308999	8	~1985

Exp.	Prime Factor	Digits	Year
7654571	61236569	8	~1986
7654649	474588239	9	~1988
7654873	45929239	8	~1986
7654873	122477969	9
7654939	76549391	8	~1986
7655183	15310367	8	~1985
7655203	76552031	8	~1986
7655237	45931423	8	~1986
7655413	45932479	8	~1986
7655587	367468177	9	~1988
7655639	15311279	8	~1985
7655723	15311447	8	~1985
7655891	15311783	8	~1985
7656059	183745417	9	~1987
7656323	245002337	9	~1988
7656577	45939463	8	~1986
7656611	15313223	8	~1985
7656821	45940927	8	~1986
7657103	15314207	8	~1985
7657379	15314759	8	~1985
7657511	199095287	9	~1988
7657591	137836639	9	~1987
7657691	15315383	8	~1985
7658099	61264793	8	~1986
7658207	61265657	8	~1986

Exp.	Prime Factor	Digits	Year
7658351	15316703	8	~1985
7658459	61267673	8	~1986
7658467	76584671	8	~1986
7658507	61268057	8	~1986
7658531	15317063	8	~1985
7658879	15317759	8	~1985
7658921	45953527	8	~1986
7658951	15317903	8	~1985
7659053	45954319	8	~1986
7659257	45955543	8	~1986
7659383	15318767	8	~1985
7659499	137870983	9	~1987
7659601	45957607	8	~1986
7659623	15319247	8	~1985
7659737	61277897	8	~1986
7659791	15319583	8	~1985
7660417	45962503	8	~1986
7660811	15321623	8	~1985
7660883	15321767	8	~1985
7661197	45967183	8	~1986
7661279	61290233	8	~1986
7661531	61292249	8	~1986
7661663	15323327	8	~1985
7661831	15323663	8	~1985
7661881	45971287	8	~1986

Exp.	Prime Factor	Digits	Year
7661903	15323807	8	~1985
7661939	15323879	8	~1985
7662001	45972007	8	~1986
7662047	61296377	8	~1986
7662463	76624631	8	~1986
7662517	122600273	9	~1987
7662659	15325319	8	~1985
7662751	76627511	8	~1986
7662913	122606609	9	~1987
7663009	183912217	9	~1987
7663193	107284703	9	~1987
7663471	76634711	8	~1986
7663499	15326999	8	~1985
7663499	61307993	8
7663693	45982159	8	~1986
7663693	306547721	9
7663823	15327647	8	~1985
7664227	183941449	9	~1987
7664311	76643111	8	~1986
7664357	61314857	8	~1986
7664549	229936471	9	~1988
7664803	76648031	8	~1986
7665023	15330047	8	~1985
7665127	76651271	8	~1986
7665149	107312087	9	~1987

5.620.889 digits

26-06-07