Small Mersenne Prime Factors (page 534/5130)

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
3347879	26783033	8	~1983
3348011	6696023	7	~1982
3348131	26785049	8	~1983
3348223	53571569	8	~1984
3348227	80357449	8	~1985
3348239	6696479	7	~1982
3348283	140627887	9	~1985
3348287	26786297	8	~1983
3348419	6696839	7	~1982
3348419	107149409	9
3348479	6696959	7	~1982
3348481	20090887	8	~1983
3348563	6697127	7	~1982
3348599	6697199	7	~1982
3348641	20091847	8	~1983
3348887	26791097	8	~1983
3349103	6698207	7	~1982
3349139	482276017	9	~1986
3349183	33491831	8	~1984
3349217	26793737	8	~1983
3349231	33492311	8	~1984
3349279	13263144841	11	~1990
3349343	6698687	7	~1982
3349349	46890887	8	~1984
3349403	6698807	7	~1982

Exp.	Prime Factor	Digits	Year
3349439	60289903	8	~1984
3349501	53592017	8	~1984
3349733	20098399	8	~1983
3349807	33498071	8	~1984
3349817	26798537	8	~1983
3349817	46897439	8
3349919	6699839	7	~1982
3350261	26802089	8	~1983
3350353	20102119	8	~1983
3350371	33503711	8	~1984
3350519	6701039	7	~1982
3350579	6701159	7	~1982
3350653	73714367	8	~1984
3350657	46909199	8	~1984
3350723	6701447	7	~1982
3350881	73719383	8	~1984
3351001	20106007	8	~1983
3351113	20106679	8	~1983
3351209	46916927	8	~1984
3351251	6702503	7	~1982
3351301	20107807	8	~1983
3351331	60323959	8	~1984
3351451	53623217	8	~1984
3351511	542944783	9	~1987
3351553	20109319	8	~1983

Exp.	Prime Factor	Digits	Year
3351599	6703199	7	~1982
3351599	60328783	8
3352003	33520031	8	~1984
3352033	20112199	8	~1983
3352073	20112439	8	~1983
3352361	26818889	8	~1983
3352571	6705143	7	~1982
3352709	341976319	9	~1986
3352831	134113241	9	~1985
3352841	26822729	8	~1983
3352967	26823737	8	~1983
3353023	53648369	8	~1984
3353081	26824649	8	~1983
3353081	241421833	9
3353111	6706223	7	~1982
3353219	26825753	8	~1983
3353281	73772183	8	~1984
3353321	20119927	8	~1983
3353341	20120047	8	~1983
3353429	26827433	8	~1983
3353579	6707159	7	~1982
3353851	33538511	8	~1984
3353881	20123287	8	~1983
3353891	6707783	7	~1982
3354283	53668529	8	~1984

Exp.	Prime Factor	Digits	Year
3354581	107346593	9	~1985
3354721	20128327	8	~1983
3354881	20129287	8	~1983
3355013	20130079	8	~1983
3355063	33550631	8	~1984
3355067	26840537	8	~1983
3355087	60391567	8	~1984
3355151	6710303	7	~1982
3355201	20131207	8	~1983
3355259	382499527	9	~1986
3355519	33555191	8	~1984
3355621	20133727	8	~1983
3355661	241607593	9	~1986
3355871	6711743	7	~1982
3355991	6711983	7	~1982
3355991	26847929	8
3355991	60407839	8
3355993	20135959	8	~1983
3356117	20136703	8	~1983
3356161	20136967	8	~1983
3356387	87266063	8	~1985
3356581	261813319	9	~1986
3356657	26853257	8	~1983
3356741	26853929	8	~1983
3356777	46994879	8	~1984

4.828.532 digits

25-06-01