Small Mersenne Prime Factors (page 959/4665)

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
9569531	19139063	8	~1985
9569603	19139207	8	~1985
9569773	229674553	9	~1988
9569947	172259047	9	~1988
9569957	76559657	8	~1987
9570251	19140503	8	~1985
9570299	19140599	8	~1985
9570443	19140887	8	~1985
9570853	57425119	8	~1987
9571027	95710271	8	~1987
9571283	19142567	8	~1985
9571817	57430903	8	~1987
9571883	19143767	8	~1985
9572063	19144127	8	~1985
9572483	19144967	8	~1985
9572837	134019719	9	~1988
9573077	76584617	8	~1987
9573661	842482169	9	~1990
9573719	19147439	8	~1985
9574007	76592057	8	~1987
9574283	19148567	8	~1985
9574289	363822983	9	~1989
9574333	229783993	9	~1988
9574541	76596329	8	~1987
9574751	19149503	8	~1985

Exp.	Prime Factor	Digits	Year
9574871	19149743	8	~1985
9574919	229798057	9	~1988
9575123	19150247	8	~1985
9575141	57450847	8	~1987
9575257	57451543	8	~1987
9576103	95761031	8	~1987
9576121	57456727	8	~1987
9576263	19152527	8	~1985
9576313	57457879	8	~1987
9576431	172375759	9	~1988
9576577	57459463	8	~1987
9577021	153232337	9	~1988
9577033	57462199	8	~1987
9577523	19155047	8	~1985
9577979	19155959	8	~1985
9578209	287346271	9	~1988
9578221	57469327	8	~1987
9578357	134096999	9	~1988
9578711	19157423	8	~1985
9578957	57473743	8	~1987
9578963	19157927	8	~1985
9579343	95793431	8	~1987
9579371	19158743	8	~1985
9579511	95795111	8	~1987
9579659	19159319	8	~1985

Exp.	Prime Factor	Digits	Year
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
9582899	19165799	8	~1985

Exp.	Prime Factor	Digits	Year
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
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
9588959	19177919	8	~1985
9589259	19178519	8	~1985

4.368.158 digits

24-10-27