Small Mersenne Prime Factors (page 316/5175)

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
1472021	11776169	8	~1981
1472041	23552657	8	~1981
1472083	14720831	8	~1981
1472423	2944847	7	~1979
1472447	11779577	8	~1981
1472501	8835007	7	~1980
1472507	35340169	8	~1982
1472543	47121377	8	~1982
1472561	8835367	7	~1980
1472587	26506567	8	~1981
1472599	58903961	8	~1982
1472701	8836207	7	~1980
1472813	8836879	7	~1980
1472909	11783273	8	~1981
1472959	58918361	8	~1982
1473023	82489289	8	~1983
1473061	67760807	8	~1982
1473239	2946479	7	~1979
1473503	82516169	8	~1983
1473569	20629967	8	~1981
1473737	35369689	8	~1982
1473743	2947487	7	~1979
1473749	338962271	9	~1984
1473919	14739191	8	~1981
1473937	8843623	7	~1980

Exp.	Prime Factor	Digits	Year
1473949	103176431	9	~1983
1473977	11791817	8	~1981
1474003	14740031	8	~1981
1474003	35376073	8
1474021	8844127	7	~1980
1474079	2948159	7	~1979
1474103	2948207	7	~1979
1474199	2948399	7	~1979
1474211	2948423	7	~1979
1474261	8845567	7	~1980
1474307	1415334721	10	~1986
1474397	35385529	8	~1982
1474411	14744111	8	~1981
1474559	2949119	7	~1979
1474727	26545087	8	~1981
1474751	11798009	8	~1981
1474751	176970121	9
1474873	244828919	9	~1984
1474877	20648279	8	~1981
1475237	11801897	8	~1981
1475261	8851567	7	~1980
1475291	2950583	7	~1979
1475399	2950799	7	~1979
1475443	35410633	8	~1982
1475443	168200503	9

Exp.	Prime Factor	Digits	Year
1475489	20656847	8	~1981
1475731	14757311	8	~1981
1475737	8854423	7	~1980
1475843	2951687	7	~1979
1475861	44275831	8	~1982
1475953	8855719	7	~1980
1475953	32470967	8
1476089	56091383	8	~1982
1476151	23618417	8	~1981
1476179	2952359	7	~1979
1476217	59048681	8	~1982
1476323	2952647	7	~1979
1476539	2953079	7	~1979
1476689	47254049	8	~1982
1476691	121088663	9	~1983
1476701	91555463	8	~1983
1476719	2953439	7	~1979
1476743	2953487	7	~1979
1476817	44304511	8	~1982
1476857	8861143	7	~1980
1476859	26583463	8	~1981
1476869	20676167	8	~1981
1476877	8861263	7	~1980
1476911	2953823	7	~1979
1476949	32492879	8	~1982

Exp.	Prime Factor	Digits	Year
1476961	8861767	7	~1980
1476983	2953967	7	~1979
1477001	11816009	8	~1981
1477061	11816489	8	~1981
1477097	8862583	7	~1980
1477169	20680367	8	~1981
1477219	342714809	9	~1984
1477291	14772911	8	~1981
1477319	2954639	7	~1979
1477321	8863927	7	~1980
1477337	56138807	8	~1982
1477337	118186961	9
1477363	14773631	8	~1981
1477559	2955119	7	~1979
1477583	2955167	7	~1979
1477613	20686583	8	~1981
1477643	2955287	7	~1979
1477699	35464777	8	~1982
1477913	8867479	7	~1980
1477913	221686951	9
1478069	20692967	8	~1981
1478287	59131481	8	~1982
1478293	8869759	7	~1980
1478437	422832983	9	~1984
1478443	14784431	8	~1981

4.873.271 digits

25-06-22