Small Mersenne Prime Factors (page 793/5205)

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
6382951	63829511	8	~1986
6383261	38299567	8	~1985
6383287	63832871	8	~1986
6383317	38299903	8	~1985
6383453	38300719	8	~1985
6383609	153206617	9	~1987
6383621	38301727	8	~1985
6383893	446872511	9	~1988
6384359	12768719	8	~1984
6384619	63846191	8	~1986
6385117	38310703	8	~1985
6385399	63853991	8	~1986
6385733	38314399	8	~1985
6385739	51085913	8	~1986
6385741	102171857	9	~1986
6385751	12771503	8	~1984
6385859	12771719	8	~1984
6385997	38315983	8	~1985
6386749	140508479	9	~1987
6387041	242707559	9	~1987
6387061	293804807	9	~1987
6387131	51097049	8	~1986
6387383	12774767	8	~1984
6387413	38324479	8	~1985
6387961	38327767	8	~1985

Exp.	Prime Factor	Digits	Year
6387977	51103817	8	~1986
6388337	51106697	8	~1986
6388391	12776783	8	~1984
6388607	51108857	8	~1986
6388691	12777383	8	~1984
6388819	63888191	8	~1986
6388973	38333839	8	~1985
6389021	51112169	8	~1986
6389083	63890831	8	~1986
6389177	89448479	8	~1986
6389213	38335279	8	~1985
6389771	357827177	9	~1988
6389783	12779567	8	~1984
6389819	12779639	8	~1984
6390257	38341543	8	~1985
6390499	63904991	8	~1986
6390551	12781103	8	~1984
6390569	89467967	8	~1986
6390851	306760849	9	~1988
6391043	12782087	8	~1984
6391199	51129593	8	~1986
6391241	38347447	8	~1985
6391261	255650441	9	~1987
6391559	12783119	8	~1984
6391729	140618039	9	~1987

Exp.	Prime Factor	Digits	Year
6391837	102269393	9	~1986
6391841	51134729	8	~1986
6391901	38351407	8	~1985
6391927	217325519	9	~1987
6392003	12784007	8	~1984
6392053	38352319	8	~1985
6392339	51138713	8	~1986
6392497	38354983	8	~1985
6392651	12785303	8	~1984
6393059	12786119	8	~1984
6393131	51145049	8	~1986
6393281	38359687	8	~1985
6393281	511462481	9
6393461	38360767	8	~1985
6393599	51148793	8	~1986
6393787	63937871	8	~1986
6393857	51150857	8	~1986
6393911	12787823	8	~1984
6393917	38363503	8	~1985
6394163	12788327	8	~1984
6394217	51153737	8	~1986
6394459	115100263	9	~1986
6394477	38366863	8	~1985
6394511	115101199	9	~1986
6394781	51158249	8	~1986

Exp.	Prime Factor	Digits	Year
6394799	12789599	8	~1984
6395231	51161849	8	~1986
6395447	306981457	9	~1988
6395657	38373943	8	~1985
6395699	12791399	8	~1984
6395797	38374783	8	~1985
6395803	63958031	8	~1986
6395819	51166553	8	~1986
6395861	38375167	8	~1985
6396113	89545583	8	~1986
6396569	51172553	8	~1986
6396701	38380207	8	~1985
6396857	38381143	8	~1985
6396877	38381263	8	~1985
6397019	12794039	8	~1984
6397103	12794207	8	~1984
6397327	63973271	8	~1986
6397373	38384239	8	~1985
6397373	153536953	9
6397463	12794927	8	~1984
6397511	12795023	8	~1984
6397571	12795143	8	~1984
6397579	460625689	9	~1988
6397591	63975911	8	~1986
6397667	422246023	9	~1988

4.903.097 digits

25-07-08