Small Mersenne Prime Factors (page 986/5070)

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
9501293	1672227569	10	~1990
9501391	95013911	8	~1987
9501659	19003319	8	~1985
9502043	19004087	8	~1985
9502271	19004543	8	~1985
9502463	19004927	8	~1985
9502721	57016327	8	~1987
9502967	76023737	8	~1987
9503141	57018847	8	~1987
9503183	19006367	8	~1985
9503303	19006607	8	~1985
9503437	152054993	9	~1988
9503471	19006943	8	~1985
9503497	57020983	8	~1987
9503581	57021487	8	~1987
9503951	76031609	8	~1987
9504239	76033913	8	~1987
9505087	152081393	9	~1988
9505333	57031999	8	~1987
9505393	57032359	8	~1987
9505477	57032863	8	~1987
9505751	304184033	9	~1988
9506303	19012607	8	~1985
9506369	760509521	9	~1989
9506543	19013087	8	~1985

Exp.	Prime Factor	Digits	Year
9506603	19013207	8	~1985
9506639	19013279	8	~1985
9506657	57039943	8	~1987
9506767	152108273	9	~1988
9507419	76059353	8	~1987
9507863	19015727	8	~1985
9507919	1140950281	10	~1990
9507977	57047863	8	~1987
9507977	76063817	8
9508061	57048367	8	~1987
9508099	399340159	9	~1989
9508139	19016279	8	~1985
9508199	19016399	8	~1985
9508337	57050023	8	~1987
9508643	19017287	8	~1985
9508979	19017959	8	~1985
9508991	19017983	8	~1985
9508997	133125959	9	~1988
9509183	19018367	8	~1985
9509231	19018463	8	~1985
9509497	57056983	8	~1987
9509701	57058207	8	~1987
9509789	76078313	8	~1987
9509873	57059239	8	~1987
9510041	57060247	8	~1987

Exp.	Prime Factor	Digits	Year
9510133	513547183	9	~1989
9510551	19021103	8	~1985
9510563	19021127	8	~1985
9510863	19021727	8	~1985
9510899	19021799	8	~1985
9511091	19022183	8	~1985
9511291	95112911	8	~1987
9511871	19023743	8	~1985
9512003	989248313	9	~1990
9512351	76098809	8	~1987
9512641	57075847	8	~1987
9512759	19025519	8	~1985
9512873	57077239	8	~1987
9513359	19026719	8	~1985
9513473	57080839	8	~1987
9513527	76108217	8	~1987
9513923	19027847	8	~1985
9513937	57083623	8	~1987
9514073	57084439	8	~1987
9514151	856273591	9	~1990
9514553	133203743	9	~1988
9514643	19029287	8	~1985
9514691	19029383	8	~1985
9514859	19029719	8	~1985
9514891	171268039	9	~1988

Exp.	Prime Factor	Digits	Year
9514919	19029839	8	~1985
9515069	76120553	8	~1987
9515459	19030919	8	~1985
9515531	19031063	8	~1985
9515593	57093559	8	~1987
9515659	95156591	8	~1987
9515873	57095239	8	~1987
9516281	57097687	8	~1987
9516443	19032887	8	~1985
9516673	57100039	8	~1987
9517381	57104287	8	~1987
9517439	19034879	8	~1985
9517691	19035383	8	~1985
9517691	76141529	8
9517759	456852433	9	~1989
9518071	95180711	8	~1987
9518219	19036439	8	~1985
9518339	19036679	8	~1985
9518471	19036943	8	~1985
9518477	133258679	9	~1988
9519179	19038359	8	~1985
9519179	76153433	8
9519203	19038407	8	~1985
9519481	57116887	8	~1987
9519557	57117343	8	~1987

4.768.925 digits

25-05-04