Small Mersenne Prime Factors (page 254/5340)

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
1042829	31284871	8	~1981
1042861	91771769	8	~1982
1042897	16686353	8	~1980
1042997	39633887	8	~1981
1043011	18774199	8	~1980
1043047	10430471	8	~1980
1043089	22947959	8	~1981
1043167	16690673	8	~1980
1043173	6259039	7	~1979
1043213	14604983	8	~1980
1043323	16693169	8	~1980
1043369	31301071	8	~1981
1043479	41739161	8	~1981
1043513	33392417	8	~1981
1043587	35481959	8	~1981
1043617	16697873	8	~1980
1043767	25050409	8	~1981
1043839	35490527	8	~1981
1043897	8351177	7	~1979
1043921	39668999	8	~1981
1043923	43844767	8	~1981
1043951	2087903	7	~1978
1043969	8351753	7	~1979
1044023	58465289	8	~1982
1044139	41765561	8	~1981

Exp.	Prime Factor	Digits	Year
1044149	31324471	8	~1981
1044299	2088599	7	~1978
1044353	14620943	8	~1980
1044391	10443911	8	~1980
1044391	68929807	8
1044629	8357033	7	~1979
1044737	25073689	8	~1981
1044779	2089559	7	~1978
1044781	6268687	7	~1979
1044859	18807463	8	~1980
1045027	60611567	8	~1982
1045063	16721009	8	~1980
1045063	35532143	8
1045117	223655039	9	~1983
1045129	41805161	8	~1981
1045183	386717711	9	~1984
1045193	31355791	8	~1981
1045321	75263113	8	~1982
1045321	123347879	9
1045391	8363129	7	~1979
1045393	31361791	8	~1981
1045427	119178679	9	~1982
1045469	8363753	7	~1979
1045469	25091257	8
1045549	41821961	8	~1981

Exp.	Prime Factor	Digits	Year
1045663	25095913	8	~1981
1045727	18823087	8	~1980
1045799	2091599	7	~1978
1045841	31375231	8	~1981
1045903	16734449	8	~1980
1045981	6275887	7	~1979
1046053	23013167	8	~1981
1046207	8369657	7	~1979
1046329	25111897	8	~1981
1046399	2092799	7	~1978
1046399	8371193	7
1046459	2092919	7	~1978
1047107	94239631	8	~1982
1047119	18848143	8	~1980
1047139	35602727	8	~1981
1047157	41886281	8	~1981
1047197	14660759	8	~1980
1047199	10471991	8	~1980
1047229	31416871	8	~1981
1047281	6283687	7	~1979
1047311	2094623	7	~1978
1047323	2094647	7	~1978
1047379	10473791	8	~1980
1047419	43991599	8	~1981
1047671	2095343	7	~1978

Exp.	Prime Factor	Digits	Year
1047821	6286927	7	~1979
1047941	6287647	7	~1979
1047961	6287767	7	~1979
1047971	2095943	7	~1978
1047971	58686377	8
1047989	14671847	8	~1980
1048009	50304433	8	~1981
1048129	31443871	8	~1981
1048193	14674703	8	~1980
1048273	31448191	8	~1981
1048291	41931641	8	~1981
1048343	2096687	7	~1978
1048391	8387129	7	~1979
1048423	44033767	8	~1981
1048549	81786823	8	~1982
1048571	2097143	7	~1978
1048609	41944361	8	~1981
1048613	58722329	8	~1982
1048613	65014007	8
1048613	109055753	9
1048681	16778897	8	~1980
1048793	14683103	8	~1980
1048807	60830807	8	~1982
1048889	125866681	9	~1982
1048991	2097983	7	~1978

5.037.460 digits

25-09-07