Small Mersenne Prime Factors (page 521/6015)

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
3003779	24030233	8
3003971	24031769	8	~1983
3003971	144190609	9
3004013	18024079	8	~1983
3004051	30040511	8	~1983
3004063	30040631	8	~1983
3004123	120164921	9	~1985
3004229	24033833	8	~1983
3004343	6008687	7	~1982
3004361	18026167	8	~1983
3004493	18026959	8	~1983
3004537	18027223	8	~1983
3004553	18027319	8	~1983
3004583	6009167	7	~1982
3004591	48073457	8	~1984
3004787	24038297	8	~1983
3004957	18029743	8	~1983
3005033	72120793	8	~1984
3005279	96168929	8	~1985
3005281	18031687	8	~1983
3005339	6010679	7	~1982
3005417	24043337	8	~1983
3005459	6010919	7	~1982
3005573	18033439	8	~1983
3005969	42083567	8	~1984

Exp.	Prime Factor	Digits	Year
3006119	6012239	7	~1982
3006121	90183631	8	~1984
3006239	24049913	8	~1983
3006323	126265567	9	~1985
3006383	96204257	8	~1985
3006599	6013199	7	~1982
3006623	6013247	7	~1982
3006713	186416207	9	~1985
3006791	6013583	7	~1982
3006827	24054617	8	~1983
3006851	6013703	7	~1982
3007183	48114929	8	~1984
3007229	547315679	9	~1986
3007409	42103727	8	~1984
3007573	18045439	8	~1983
3007783	102264623	9	~1985
3007811	6015623	7	~1982
3007843	30078431	8	~1983
3007843	48125489	8
3007919	6015839	7	~1982
3008041	48128657	8	~1984
3008053	18048319	8	~1983
3008219	24065753	8	~1983
3008311	535479359	9	~1986
3008339	6016679	7	~1982

Exp.	Prime Factor	Digits	Year
3008567	78222743	8	~1984
3008569	66188519	8	~1984
3008641	210604871	9	~1985
3008857	18053143	8	~1983
3009101	18054607	8	~1983
3009131	6018263	7	~1982
3009131	78237407	8
3009241	48147857	8	~1984
3009341	18056047	8	~1983
3009379	54168823	8	~1984
3009683	6019367	7	~1982
3009689	90290671	8	~1984
3009701	18058207	8	~1983
3009749	24077993	8	~1983
3009779	24078233	8	~1983
3009781	18058687	8	~1983
3009959	6019919	7	~1982
3010019	6020039	7	~1982
3010213	379286839	9	~1986
3010291	30102911	8	~1983
3010363	102352343	9	~1985
3010457	18062743	8	~1983
3010477	48167633	8	~1984
3010499	6020999	7	~1982
3010537	234821887	9	~1986

Exp.	Prime Factor	Digits	Year
3010543	848973127	9	~1987
3010621	48169937	8	~1984
3010807	48172913	8	~1984
3010811	6021623	7	~1982
3010939	72262537	8	~1984
3011209	210784631	9	~1985
3011251	48180017	8	~1984
3011279	6022559	7	~1982
3011287	54203167	8	~1984
3011341	4402580543	10	~1989
3011399	6022799	7	~1982
3011641	66256103	8	~1984
3011663	6023327	7	~1982
3011803	30118031	8	~1983
3011857	18071143	8	~1983
3011971	144574609	9	~1985
3011971	198790087	9
3012019	30120191	8	~1983
3012041	18072247	8	~1983
3012539	6025079	7	~1982
3012913	66284087	8	~1984
3012979	144622993	9	~1985
3013151	24105209	8	~1983
3013193	168738809	9	~1985
3013237	138608903	9	~1985

5.710.620 digits

26-07-19