Small Mersenne Prime Factors (page 474/5190)

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
2757221	16543327	8	~1982
2757221	22057769	8
2757367	27573671	8	~1983
2757457	16544743	8	~1982
2757659	5515319	7	~1981
2757709	60669599	8	~1984
2757773	16546639	8	~1982
2757851	5515703	7	~1981
2758037	22064297	8	~1983
2758061	82741831	8	~1984
2758169	82745071	8	~1984
2758319	5516639	7	~1981
2758373	16550239	8	~1982
2758517	38619239	8	~1983
2758589	66206137	8	~1984
2758631	22069049	8	~1983
2758787	132421777	9	~1985
2758871	22070969	8	~1983
2759063	5518127	7	~1981
2759087	22072697	8	~1983
2759137	66219289	8	~1984
2759173	66220153	8	~1984
2759231	5518463	7	~1981
2759293	60704447	8	~1984
2759299	27592991	8	~1983

Exp.	Prime Factor	Digits	Year
2759453	16556719	8	~1982
2759483	5518967	7	~1981
2759683	93829223	8	~1984
2759723	5519447	7	~1981
2759761	16558567	8	~1982
2759819	5519639	7	~1981
2759819	49676743	8
2759891	5519783	7	~1981
2759951	5519903	7	~1981
2760019	27600191	8	~1983
2760049	66241177	8	~1984
2760061	16560367	8	~1982
2760143	5520287	7	~1981
2760269	22082153	8	~1983
2760287	66246889	8	~1984
2760487	44167793	8	~1983
2760577	126986543	9	~1985
2760881	16565287	8	~1982
2760889	60739559	8	~1984
2761093	16566559	8	~1982
2761151	5522303	7	~1981
2761153	16566919	8	~1982
2761153	414172951	9
2761163	5522327	7	~1981
2761567	27615671	8	~1983

Exp.	Prime Factor	Digits	Year
2761751	5523503	7	~1981
2762063	66289513	8	~1984
2762117	22096937	8	~1983
2762183	5524367	7	~1981
2762233	16573399	8	~1982
2762267	22098137	8	~1983
2762351	22098809	8	~1983
2762411	5524823	7	~1981
2762713	198915337	9	~1985
2762741	16576447	8	~1982
2762759	5525519	7	~1981
2762779	27627791	8	~1983
2762861	16577167	8	~1982
2762939	22103513	8	~1983
2762941	193405871	9	~1985
2762951	1259905657	10	~1987
2762957	22103657	8	~1983
2763053	16578319	8	~1982
2763119	5526239	7	~1981
2763133	16578799	8	~1982
2763169	60789719	8	~1984
2763203	5526407	7	~1981
2763251	88424033	8	~1984
2763311	5526623	7	~1981
2763331	44213297	8	~1983

Exp.	Prime Factor	Digits	Year
2763413	16580479	8	~1982
2763577	16581463	8	~1982
2763617	22108937	8	~1983
2763659	22109273	8	~1983
2763811	44220977	8	~1983
2764271	5528543	7	~1981
2764277	16585663	8	~1982
2764277	22114217	8
2764423	66346153	8	~1984
2764499	66347977	8	~1984
2764819	27648191	8	~1983
2764847	49767247	8	~1984
2764891	49768039	8	~1984
2765093	16590559	8	~1982
2765117	22120937	8	~1983
2765173	16591039	8	~1982
2765173	60833807	8
2765219	5530439	7	~1981
2765227	27652271	8	~1983
2765251	27652511	8	~1983
2765333	16591999	8	~1982
2765387	49776967	8	~1984
2765519	5531039	7	~1981
2765579	5531159	7	~1981
2765591	49780639	8	~1984

4.888.230 digits

25-06-29