Small Mersenne Prime Factors (page 433/5190)

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
2393717	19149737	8	~1982
2393761	38300177	8	~1983
2393933	14363599	8	~1982
2394109	210681593	9	~1985
2394157	57459769	8	~1983
2394187	38306993	8	~1983
2394187	138862847	9
2394221	14365327	8	~1982
2394241	14365447	8	~1982
2394377	14366263	8	~1982
2394383	4788767	7	~1981
2394641	19157129	8	~1982
2394731	134104937	9	~1984
2395031	4790063	7	~1981
2395189	114969073	9	~1984
2395241	19161929	8	~1982
2395499	4790999	7	~1981
2395511	4791023	7	~1981
2395529	57492697	8	~1983
2395693	14374159	8	~1982
2395823	134166089	9	~1984
2395889	57501337	8	~1983
2395901	19167209	8	~1982
2396041	14376247	8	~1982
2396063	4792127	7	~1981

Exp.	Prime Factor	Digits	Year
2396123	4792247	7	~1981
2396153	57507673	8	~1983
2396189	148563719	9	~1984
2396239	43132303	8	~1983
2396353	38341649	8	~1983
2396419	23964191	8	~1983
2396423	4792847	7	~1981
2396567	19172537	8	~1982
2396591	4793183	7	~1981
2396743	23967431	8	~1983
2396759	4793519	7	~1981
2397001	14382007	8	~1982
2397007	215730631	9	~1985
2397139	43148503	8	~1983
2397203	4794407	7	~1981
2397371	4794743	7	~1981
2397383	4794767	7	~1981
2397481	38359697	8	~1983
2397491	4794983	7	~1981
2397587	19180697	8	~1982
2397631	23976311	8	~1983
2397683	4795367	7	~1981
2397917	19183337	8	~1982
2398051	23980511	8	~1983
2398061	263786711	9	~1985

Exp.	Prime Factor	Digits	Year
2398211	4796423	7	~1981
2398307	19186457	8	~1982
2398379	119918951	9	~1984
2398391	4796783	7	~1981
2398777	57570649	8	~1983
2398867	43179607	8	~1983
2399231	62380007	8	~1984
2399249	57581977	8	~1983
2399407	43189327	8	~1983
2399543	4799087	7	~1981
2399753	14398519	8	~1982
2399759	19198073	8	~1982
2399951	172796473	9	~1985
2400019	268802129	9	~1985
2400037	14400223	8	~1982
2400143	4800287	7	~1981
2400161	72004831	8	~1984
2400163	57603913	8	~1983
2400187	24001871	8	~1983
2400221	14401327	8	~1982
2400311	4800623	7	~1981
2400469	52810319	8	~1983
2400613	14403679	8	~1982
2400779	19206233	8	~1982
2400793	96031721	8	~1984

Exp.	Prime Factor	Digits	Year
2401219	96048761	8	~1984
2401237	38419793	8	~1983
2401463	4802927	7	~1981
2401463	192117041	9
2401561	72046831	8	~1984
2401571	19212569	8	~1982
2401583	4803167	7	~1981
2401621	52835663	8	~1983
2401727	43231087	8	~1983
2401967	19215737	8	~1982
2401967	57647209	8
2401991	4803983	7	~1981
2402053	52845167	8	~1983
2402087	19216697	8	~1982
2402203	57652873	8	~1983
2402651	4805303	7	~1981
2402677	14416063	8	~1982
2402707	38443313	8	~1983
2402819	4805639	7	~1981
2402837	14417023	8	~1982
2402951	4805903	7	~1981
2402999	43253983	8	~1983
2403083	4806167	7	~1981
2403127	38450033	8	~1983
2403131	19225049	8	~1982

4.888.230 digits

25-06-29