Small Mersenne Prime Factors (page 987/5025)

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
9579659	19159319	8	~1985
9579851	19159703	8	~1985
9579859	459833233	9	~1989
9580139	19160279	8	~1985
9580141	210763103	9	~1988
9580223	19160447	8	~1985
9580381	153286097	9	~1988
9580451	19160903	8	~1985
9580463	19160927	8	~1985
9580559	19161119	8	~1985
9580559	76644473	8
9580561	57483367	8	~1987
9580667	76645337	8	~1987
9581219	19162439	8	~1985
9581233	57487399	8	~1987
9581309	134138327	9	~1988
9581543	19163087	8	~1985
9581701	57490207	8	~1987
9581837	57491023	8	~1987
9581963	19163927	8	~1985
9582263	19164527	8	~1985
9582323	19164647	8	~1985
9582337	57494023	8	~1987
9582791	19165583	8	~1985
9582817	57496903	8	~1987

Exp.	Prime Factor	Digits	Year
9582899	19165799	8	~1985
9583033	153328529	9	~1988
9583103	19166207	8	~1985
9583319	306666209	9	~1988
9583439	19166879	8	~1985
9583501	57501007	8	~1987
9583919	19167839	8	~1985
9584521	57507127	8	~1987
9584699	19169399	8	~1985
9585011	19170023	8	~1985
9585311	19170623	8	~1985
9585371	19170743	8	~1985
9585883	95858831	8	~1987
9585959	76687673	8	~1987
9586151	76689209	8	~1987
9586961	57521767	8	~1987
9587003	19174007	8	~1985
9587111	19174223	8	~1985
9587701	57526207	8	~1987
9587713	57526279	8	~1987
9588101	57528607	8	~1987
9588307	95883071	8	~1987
9588431	19176863	8	~1985
9588599	19177199	8	~1985
9588899	19177799	8	~1985

Exp.	Prime Factor	Digits	Year
9588959	19177919	8	~1985
9589259	19178519	8	~1985
9589313	134250383	9	~1988
9589477	153431633	9	~1988
9589991	19179983	8	~1985
9590123	19180247	8	~1985
9590327	76722617	8	~1987
9590473	57542839	8	~1987
9590723	19181447	8	~1985
9590879	19181759	8	~1985
9590939	19181879	8	~1985
9591097	57546583	8	~1987
9591269	76730153	8	~1987
9591557	57549343	8	~1987
9591761	57550567	8	~1987
9591863	19183727	8	~1985
9592007	76736057	8	~1987
9592057	57552343	8	~1987
9592087	95920871	8	~1987
9592151	19184303	8	~1985
9592223	19184447	8	~1985
9592571	19185143	8	~1985
9592697	57556183	8	~1987
9592903	402901927	9	~1989
9592931	19185863	8	~1985

Exp.	Prime Factor	Digits	Year
9593251	95932511	8	~1987
9593351	19186703	8	~1985
9593411	19186823	8	~1985
9593561	57561367	8	~1987
9593609	76748873	8	~1987
9593657	57561943	8	~1987
9593723	19187447	8	~1985
9593819	19187639	8	~1985
9594269	134319767	9	~1988
9594479	19188959	8	~1985
9594509	76756073	8	~1987
9594701	57568207	8	~1987
9594701	76757609	8
9594773	57568639	8	~1987
9594931	95949311	8	~1987
9595241	57571447	8	~1987
9595477	844401977	9	~1990
9595559	19191119	8	~1985
9595559	76764473	8
9596039	19192079	8	~1985
9596231	19192463	8	~1985
9596263	95962631	8	~1987
9596399	19192799	8	~1985
9596399	76771193	8
9596473	57578839	8	~1987

4.724.182 digits

25-04-13