Small Mersenne Prime Factors (page 274/5745)

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
1142789	15999047	8	~1980
1142837	6857023	7	~1979
1142909	9143273	7	~1980
1142917	6857503	7	~1979
1142971	18287537	8	~1981
1143071	29719847	8	~1981
1143101	116596303	9	~1982
1143193	6859159	7	~1979
1143223	18291569	8	~1981
1143299	9146393	7	~1980
1143341	9146729	7	~1980
1143473	6860839	7	~1979
1143473	34304191	8
1143697	18299153	8	~1981
1143817	6862903	7	~1979
1143887	9151097	7	~1980
1144061	9152489	7	~1980
1144103	2288207	7	~1978
1144249	45769961	8	~1981
1144343	2288687	7	~1978
1144349	9154793	7	~1980
1144349	27464377	8
1144357	6866143	7	~1979
1144417	18310673	8	~1981
1144439	2288879	7	~1978

Exp.	Prime Factor	Digits	Year
1144441	6866647	7	~1979
1144721	43499399	8	~1981
1144823	2289647	7	~1978
1144901	6869407	7	~1979
1144919	2289839	7	~1978
1144931	2289863	7	~1978
1144931	48087103	8
1144993	6869959	7	~1979
1145003	2290007	7	~1978
1145099	20611783	8	~1981
1145107	11451071	8	~1980
1145141	6870847	7	~1979
1145461	45818441	8	~1982
1145593	34367791	8	~1981
1145593	61862023	8
1145693	6874159	7	~1979
1145849	16041887	8	~1980
1145849	43542263	8
1145999	2291999	7	~1978
1145999	20627983	8
1146049	25213079	8	~1981
1146083	2292167	7	~1978
1146179	2292359	7	~1978
1146217	61895719	8	~1982
1146221	6877327	7	~1979

Exp.	Prime Factor	Digits	Year
1146331	20633959	8	~1981
1146419	9171353	7	~1980
1146539	55033873	8	~1982
1146581	6879487	7	~1979
1146731	2293463	7	~1978
1146779	2293559	7	~1978
1146829	45873161	8	~1982
1146917	61933519	8	~1982
1146931	20644759	8	~1981
1146947	9175577	7	~1980
1146953	16057343	8	~1980
1146989	116992879	9	~1983
1147021	25234463	8	~1981
1147039	11470391	8	~1980
1147039	27528937	8
1147043	185820967	9	~1983
1147067	27529609	8	~1981
1147297	6883783	7	~1979
1147331	29830607	8	~1981
1147379	48189919	8	~1982
1147409	16063727	8	~1980
1147567	11475671	8	~1980
1147579	94101479	8	~1982
1147613	6885679	7	~1979
1147621	45904841	8	~1982

Exp.	Prime Factor	Digits	Year
1147637	9181097	7	~1980
1147637	27543289	8
1147697	34430911	8	~1981
1147739	2295479	7	~1978
1147903	18366449	8	~1981
1147903	45916121	8
1147921	18366737	8	~1981
1147969	27551257	8	~1981
1148039	2296079	7	~1978
1148167	11481671	8	~1980
1148219	9185753	7	~1980
1148293	6889759	7	~1979
1148437	172265551	9	~1983
1148507	9188057	7	~1980
1148507	57425351	8
1148663	2297327	7	~1978
1148677	6910440833	10	~1987
1148701	45948041	8	~1982
1148737	18379793	8	~1981
1148753	6892519	7	~1979
1148761	45950441	8	~1982
1148879	2297759	7	~1978
1148921	6893527	7	~1979
1148933	36765857	8	~1981
1148933	82723177	8

5.441.361 digits

26-03-15