Small Mersenne Prime Factors (page 266/5025)

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
1140379	136845481	9	~1983
1140383	2280767	7	~1978
1140389	15965447	8	~1980
1140533	246355129	9	~1983
1140539	2281079	7	~1978
1140563	2281127	7	~1978
1140619	11406191	8	~1980
1140787	11407871	8	~1980
1140787	75291943	8
1140803	2281607	7	~1978
1140847	75295903	8	~1982
1140871	11408711	8	~1980
1140911	2281823	7	~1978
1140991	18255857	8	~1980
1141027	27384649	8	~1981
1141039	11410391	8	~1980
1141103	2282207	7	~1978
1141223	2282447	7	~1978
1141243	11412431	8	~1980
1141271	57063551	8	~1982
1141277	6847663	7	~1979
1141279	45651161	8	~1981
1141303	38804303	8	~1981
1141321	18261137	8	~1980
1141373	36523937	8	~1981

Exp.	Prime Factor	Digits	Year
1141379	2282759	7	~1978
1141391	29676167	8	~1981
1141837	6851023	7	~1979
1141849	45673961	8	~1981
1141901	6851407	7	~1979
1141969	27407257	8	~1981
1142003	57100151	8	~1982
1142041	6852247	7	~1979
1142131	47969503	8	~1982
1142237	61680799	8	~1982
1142243	2284487	7	~1978
1142243	36551777	8
1142311	20561599	8	~1981
1142359	11423591	8	~1980
1142633	34278991	8	~1981
1142707	11427071	8	~1980
1142789	15999047	8	~1980
1142837	6857023	7	~1979
1142909	9143273	7	~1980
1142917	6857503	7	~1979
1142971	18287537	8	~1980
1143071	29719847	8	~1981
1143101	116596303	9	~1982
1143193	6859159	7	~1979
1143223	18291569	8	~1980

Exp.	Prime Factor	Digits	Year
1143299	9146393	7	~1980
1143341	9146729	7	~1980
1143473	6860839	7	~1979
1143473	34304191	8
1143697	18299153	8	~1980
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	~1980
1144439	2288879	7	~1978
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

Exp.	Prime Factor	Digits	Year
1145099	20611783	8	~1981
1145107	11451071	8	~1980
1145141	6870847	7	~1979
1145461	45818441	8	~1981
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
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	~1981
1146917	61933519	8	~1982
1146931	20644759	8	~1981

4.724.182 digits

25-04-13