Small Mersenne Prime Factors (page 1014/5550)

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
9380453	56282719	8	~1987
9380531	18761063	8	~1985
9380639	168851503	9	~1988
9380951	18761903	8	~1985
9381023	18762047	8	~1985
9381083	18762167	8	~1985
9381191	18762383	8	~1985
9381419	18762839	8	~1985
9381719	18763439	8	~1985
9381751	150108017	9	~1988
9382151	18764303	8	~1985
9382319	18764639	8	~1985
9382343	18764687	8	~1985
9382391	18764783	8	~1985
9382601	56295607	8	~1987
9382741	56296447	8	~1987
9382757	131358599	9	~1988
9383053	281491591	9	~1988
9383189	225196537	9	~1988
9383477	56300863	8	~1987
9383603	18767207	8	~1985
9383753	131372543	9	~1988
9383831	18767663	8	~1985
9383993	56303959	8	~1987
9384097	56304583	8	~1987

Exp.	Prime Factor	Digits	Year
9384131	75073049	8	~1987
9384359	18768719	8	~1985
9384523	93845231	8	~1987
9385091	18770183	8	~1985
9385151	18770303	8	~1985
9385199	18770399	8	~1985
9385483	394190287	9	~1989
9385583	18771167	8	~1985
9385979	18771959	8	~1985
9386101	56316607	8	~1987
9386257	56317543	8	~1987
9387047	1070123359	10	~1990
9387061	56322367	8	~1987
9387199	225292777	9	~1988
9387359	18774719	8	~1985
9387419	18774839	8	~1985
9387449	131424287	9	~1988
9387901	56327407	8	~1987
9387971	18775943	8	~1985
9388091	18776183	8	~1985
9388103	18776207	8	~1985
9388177	150210833	9	~1988
9388273	56329639	8	~1987
9388513	206547287	9	~1988
9388541	300433313	9	~1988

Exp.	Prime Factor	Digits	Year
9388661	56331967	8	~1987
9388661	75109289	8
9388781	56332687	8	~1987
9388801	56332807	8	~1987
9389279	75114233	8	~1987
9389459	18778919	8	~1985
9389483	18778967	8	~1985
9390037	56340223	8	~1987
9390191	18780383	8	~1985
9390257	56341543	8	~1987
9390299	18780599	8	~1985
9390331	93903311	8	~1987
9391093	56346559	8	~1987
9391223	18782447	8	~1985
9391703	18783407	8	~1985
9392063	18784127	8	~1985
9392171	18784343	8	~1985
9393077	75144617	8	~1987
9393281	56359687	8	~1987
9393317	56359903	8	~1987
9394109	75152873	8	~1987
9394139	18788279	8	~1985
9394201	56365207	8	~1987
9394529	75156233	8	~1987
9394817	56368903	8	~1987

Exp.	Prime Factor	Digits	Year
9394901	56369407	8	~1987
9395051	620073367	9	~1989
9395411	18790823	8	~1985
9395411	75163289	8
9395539	225492937	9	~1988
9395591	18791183	8	~1985
9395779	394622719	9	~1989
9395783	18791567	8	~1985
9395843	18791687	8	~1985
9396071	18792143	8	~1985
9396137	75169097	8	~1987
9396143	18792287	8	~1985
9396323	18792647	8	~1985
9396743	225521833	9	~1988
9396931	93969311	8	~1987
9397151	75177209	8	~1987
9397163	18794327	8	~1985
9397237	56383423	8	~1987
9397417	150358673	9	~1988
9398003	18796007	8	~1985
9398357	56390143	8	~1987
9398401	56390407	8	~1987
9398423	18796847	8	~1985
9398657	131581199	9	~1988
9398681	56392087	8	~1987

5.247.179 digits

25-12-14