Small Mersenne Prime Factors (page 445/5130)

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
2509079	45163423	8	~1983
2509103	5018207	7	~1981
2509163	5018327	7	~1981
2509237	120443377	9	~1984
2509271	5018543	7	~1981
2509279	25092791	8	~1983
2509337	15056023	8	~1982
2509499	5018999	7	~1981
2509627	25096271	8	~1983
2509627	40154033	8
2509777	15058663	8	~1982
2509841	15059047	8	~1982
2509861	15059167	8	~1982
2509963	25099631	8	~1983
2509993	15059959	8	~1982
2510051	140562857	9	~1984
2510171	5020343	7	~1981
2510219	306246719	9	~1985
2510309	60247417	8	~1984
2510533	15063199	8	~1982
2510591	5021183	7	~1981
2510609	20084873	8	~1982
2510723	5021447	7	~1981
2510731	25107311	8	~1983
2510731	120515089	9

Exp.	Prime Factor	Digits	Year
2510741	15064447	8	~1982
2510771	5021543	7	~1981
2510803	361555633	9	~1986
2511017	95418647	8	~1984
2511083	5022167	7	~1981
2511133	557471527	9	~1986
2511167	20089337	8	~1982
2511407	20091257	8	~1982
2511521	15069127	8	~1982
2511779	5023559	7	~1981
2511851	5023703	7	~1981
2512019	5024039	7	~1981
2512063	25120631	8	~1983
2512117	15072703	8	~1982
2512283	5024567	7	~1981
2512297	60295129	8	~1984
2512303	85418303	8	~1984
2512343	5024687	7	~1981
2512403	5024807	7	~1981
2512513	15075079	8	~1982
2512739	5025479	7	~1981
2512813	15076879	8	~1982
2512843	60308233	8	~1984
2513039	20104313	8	~1982
2513039	562920737	9

Exp.	Prime Factor	Digits	Year
2513051	5026103	7	~1981
2513083	100523321	9	~1984
2513461	296588399	9	~1985
2513557	15081343	8	~1982
2513557	75406711	8
2513579	5027159	7	~1981
2513677	15082063	8	~1982
2513839	25138391	8	~1983
2513887	25138871	8	~1983
2514059	20112473	8	~1982
2514163	25141631	8	~1983
2514269	437482807	9	~1986
2514299	5028599	7	~1981
2514313	15085879	8	~1982
2514451	45260119	8	~1983
2514467	45260407	8	~1983
2514599	45262783	8	~1983
2514713	75441391	8	~1984
2514731	5029463	7	~1981
2514959	80478689	8	~1984
2515013	35210183	8	~1983
2515237	15091423	8	~1982
2515283	5030567	7	~1981
2515319	5030639	7	~1981
2515453	60370873	8	~1984

Exp.	Prime Factor	Digits	Year
2515561	15093367	8	~1982
2515703	5031407	7	~1981
2515817	15094903	8	~1982
2516273	35227823	8	~1983
2516377	15098263	8	~1982
2516411	5032823	7	~1981
2516411	65426687	8
2516447	20131577	8	~1982
2516497	15098983	8	~1982
2516543	5033087	7	~1981
2516713	15100279	8	~1982
2516771	5033543	7	~1981
2516963	5033927	7	~1981
2517079	60409897	8	~1984
2517127	40274033	8	~1983
2517149	60411577	8	~1984
2517161	20137289	8	~1982
2517211	25172111	8	~1983
2517239	20137913	8	~1982
2517283	40276529	8	~1983
2517283	60414793	8
2517407	20139257	8	~1982
2517637	15105823	8	~1982
2517797	15106783	8	~1982
2518081	15108487	8	~1982

4.828.532 digits

25-06-01