Small Mersenne Prime Factors (page 990/5130)

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
9492971	18985943	8	~1985
9493441	56960647	8	~1987
9493499	18986999	8	~1985
9493619	18987239	8	~1985
9493873	1803835871	10	~1990
9494081	284822431	9	~1988
9494123	18988247	8	~1985
9494137	56964823	8	~1987
9494257	56965543	8	~1987
9494291	18988583	8	~1985
9494461	968435023	9	~1990
9494783	18989567	8	~1985
9494827	911503393	9	~1990
9494939	18989879	8	~1985
9494957	75959657	8	~1987
9495071	18990143	8	~1985
9495841	56975047	8	~1987
9495973	56975839	8	~1987
9496043	18992087	8	~1985
9496439	18992879	8	~1985
9496451	18992903	8	~1985
9496559	18993119	8	~1985
9497353	227936473	9	~1988
9497591	18995183	8	~1985
9497651	18995303	8	~1985

Exp.	Prime Factor	Digits	Year
9498001	56988007	8	~1987
9498179	18996359	8	~1985
9498193	56989159	8	~1987
9498323	18996647	8	~1985
9498383	18996767	8	~1985
9498397	56990383	8	~1987
9498479	18996959	8	~1985
9498719	18997439	8	~1985
9498739	94987391	8	~1987
9498851	18997703	8	~1985
9498959	18997919	8	~1985
9498961	56993767	8	~1987
9499013	56994079	8	~1987
9499079	18998159	8	~1985
9499097	56994583	8	~1987
9499279	94992791	8	~1987
9499613	56997679	8	~1987
9499739	75997913	8	~1987
9499751	18999503	8	~1985
9499811	18999623	8	~1985
9499883	18999767	8	~1985
9499933	56999599	8	~1987
9499961	75999689	8	~1987
9500159	304005089	9	~1988
9500207	76001657	8	~1987

Exp.	Prime Factor	Digits	Year
9500213	57001279	8	~1987
9500279	19000559	8	~1985
9500831	19001663	8	~1985
9500861	57005167	8	~1987
9500879	456042193	9	~1989
9500941	57005647	8	~1987
9500999	19001999	8	~1985
9501077	228025849	9	~1988
9501101	76008809	8	~1987
9501253	57007519	8	~1987
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

Exp.	Prime Factor	Digits	Year
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
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

4.828.532 digits

25-06-01