Small Mersenne Prime Factors (page 53/5025)

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
102409	7373449	7	1966
102433	4711919	7	1966
102437	614623	6	1966
102451	41185303	8	1966
102503	24805727	8	1966
102523	4305967	7	1966
102533	260843953	9	1966
102551	205103	6	1966
102551	820409	6
102587	54371111	8	1966
102593	2462233	7	1966
102611	205223	6	1966
102653	615919	6	1966
102653	46809769	8
102673	1642769	7	1966
102701	616207	6	1966
102701	3081031	7
102701	21156407	8
102763	4316047	7	1966
102793	2467033	7	1966
102793	14596607	8
102797	616783	6	1966
102877	3086311	7	1966
102881	114403673	9	1966
102911	205823	6	1966

Exp.	Prime Factor	Digits	Year
102913	617479	6	1966
102983	205967	6	1966
103001	8240081	7	1966
103001	48410471	8
103043	2679119	7	1966
103043	6800839	7
103043	8243441	7
103049	824393	6	1966
103067	2473609	7	1966
103079	1855423	7	1966
103091	206183	6	1966
103099	90727121	8	1966
103141	618847	6	1966
103177	71604839	8	1966
103217	11353871	8	1966
103289	20657801	8	1966
103291	4338223	7	1966
103319	206639	6	1966
103349	8061223	7	1966
103387	1654193	7	1966
103387	29775457	8
103391	206783	6	1966
103391	827129	6
103457	620743	6	1966
103529	20498743	8	1966

Exp.	Prime Factor	Digits	Year
103553	15740057	8	1966
103583	7665143	7	1966
103613	621679	6	1966
103613	60509993	8
103619	207239	6	1966
103619	49944359	8
103643	207287	6	1966
103651	1865719	7	1966
103657	1658513	7	1966
103787	2698463	7	1966
103813	622879	6	1966
103813	52944631	8
103837	623023	6	1966
103903	1662449	7	1966
103997	8943743	7	1966
103997	89853409	8
104009	1456127	7	1966
104009	14977297	8
104053	624319	6	1966
104053	27469993	8
104113	19156793	8	1966
104149	34160873	8	1966
104173	39169049	8	1966
104183	208367	6	1966
104183	30838169	8

Exp.	Prime Factor	Digits	Year
104231	208463	6	1966
104243	3335777	7	1966
104311	21070823	8	1966
104323	11892823	8	1966
104399	208799	6	1966
104459	835673	6	1966
104459	2507017	7
104471	6895087	7	1966
104473	19223033	8	1966
104479	20059969	8	1966
104513	1463183	7	1966
104549	15682351	8	1966
104549	53319991	8
104561	7528393	7	1966
104579	209159	6	1966
104597	5648239	7	1966
104639	837113	6	1966
104659	13605671	8	1966
104681	55271569	8	1966
104759	209519	6	1966
104827	49687999	8	1966
104869	2307119	7	1966
104911	29375081	8	1966
104911	47209951	8
105071	210143	6	1966

4.724.182 digits

25-04-13