Small Mersenne Prime Factors (page 890/5985)

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
7210433	43262599	8	~1986
7210453	43262719	8	~1986
7210663	72106631	8	~1986
7210751	14421503	8	~1985
7210811	14421623	8	~1985
7210943	14421887	8	~1985
7210991	14421983	8	~1985
7211011	288440441	9	~1988
7211119	72111191	8	~1986
7211201	43267207	8	~1986
7211201	57689609	8
7211273	43267639	8	~1986
7211291	57690329	8	~1986
7211333	43267999	8	~1986
7211381	43268287	8	~1986
7211639	57693113	8	~1986
7211843	14423687	8	~1985
7211977	43271863	8	~1986
7212169	173092057	9	~1987
7212173	43273039	8	~1986
7212253	43273519	8	~1986
7212323	14424647	8	~1985
7212719	57701753	8	~1986
7212791	14425583	8	~1985
7212791	57702329	8

Exp.	Prime Factor	Digits	Year
7212839	14425679	8	~1985
7212899	14425799	8	~1985
7213441	43280647	8	~1986
7213543	72135431	8	~1986
7213567	115417073	9	~1987
7213571	57708569	8	~1986
7213751	14427503	8	~1985
7213847	57710777	8	~1986
7214063	187565639	9	~1987
7214101	43284607	8	~1986
7214183	14428367	8	~1985
7214279	14428559	8	~1985
7214393	43286359	8	~1986
7214843	14429687	8	~1985
7214917	43289503	8	~1986
7214951	360747551	9	~1988
7215127	72151271	8	~1986
7215223	72152231	8	~1986
7215449	57723593	8	~1986
7215547	72155471	8	~1986
7215553	43293319	8	~1986
7216091	57728729	8	~1986
7216199	14432399	8	~1985
7216213	43297279	8	~1986
7216247	129892447	9	~1987

Exp.	Prime Factor	Digits	Year
7216343	14432687	8	~1985
7216439	14432879	8	~1985
7216787	57734297	8	~1986
7216987	115471793	9	~1987
7217279	14434559	8	~1985
7217407	72174071	8	~1986
7217657	43305943	8	~1986
7217731	303144703	9	~1988
7217747	173225929	9	~1987
7217753	43306519	8	~1986
7217939	14435879	8	~1985
7218053	43308319	8	~1986
7218181	43309087	8	~1986
7218269	57746153	8	~1986
7218433	43310599	8	~1986
7218637	43311823	8	~1986
7218929	274319303	9	~1988
7219139	14438279	8	~1985
7219391	14438783	8	~1985
7219483	72194831	8	~1986
7219519	72195191	8	~1986
7219703	14439407	8	~1985
7219871	57758969	8	~1986
7220407	72204071	8	~1986
7220483	14440967	8	~1985

Exp.	Prime Factor	Digits	Year
7220711	14441423	8	~1985
7220933	43325599	8	~1986
7221013	43326079	8	~1986
7221299	14442599	8	~1985
7221301	43327807	8	~1986
7221587	57772697	8	~1986
7221757	43330543	8	~1986
7221871	72218711	8	~1986
7221917	43331503	8	~1986
7222199	57777593	8	~1986
7222199	173332777	9
7222661	1487868167	10	~1990
7222723	72227231	8	~1986
7222811	231129953	9	~1988
7222991	14445983	8	~1985
7223033	43338199	8	~1986
7223039	14446079	8	~1985
7223053	43338319	8	~1986
7223123	14446247	8	~1985
7223519	14447039	8	~1985
7223683	72236831	8	~1986
7223981	57791849	8	~1986
7223999	173375977	9	~1987
7224029	57792233	8	~1986
7224131	361206551	9	~1988

5.680.769 digits

26-07-05