Small Mersenne Prime Factors (page 502/5190)

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
3013531	54243559	8	~1984
3013643	168764009	9	~1985
3013691	6027383	7	~1982
3013841	24110729	8	~1983
3013859	6027719	7	~1982
3013859	54249463	8
3013963	30139631	8	~1983
3013973	241117841	9	~1986
3014041	66308903	8	~1984
3014051	6028103	7	~1982
3014159	24113273	8	~1983
3014261	24114089	8	~1983
3014387	24115097	8	~1983
3014461	144694129	9	~1985
3014497	18086983	8	~1983
3014537	331599071	9	~1986
3014647	30146471	8	~1983
3014911	30149111	8	~1983
3015059	6030119	7	~1982
3015197	24121577	8	~1983
3015403	30154031	8	~1983
3015757	18094543	8	~1983
3015763	48252209	8	~1984
3015839	6031679	7	~1982
3015877	18095263	8	~1983

Exp.	Prime Factor	Digits	Year
3015899	6031799	7	~1982
3016133	530839409	9	~1986
3016219	30162191	8	~1983
3016523	6033047	7	~1982
3016747	30167471	8	~1983
3016823	6033647	7	~1982
3017251	265518089	9	~1986
3017291	6034583	7	~1982
3017303	6034607	7	~1982
3017351	6034703	7	~1982
3017543	6035087	7	~1982
3017603	6035207	7	~1982
3017717	18106303	8	~1983
3017717	24141737	8
3017837	42249719	8	~1984
3017929	72430297	8	~1984
3017999	6035999	7	~1982
3018091	54325639	8	~1984
3018137	18108823	8	~1983
3018181	18109087	8	~1983
3018479	24147833	8	~1983
3018517	144888817	9	~1985
3018733	18112399	8	~1983
3018803	150940151	9	~1985
3019019	96608609	8	~1985

Exp.	Prime Factor	Digits	Year
3019109	24152873	8	~1983
3019151	6038303	7	~1982
3019273	18115639	8	~1983
3019273	48308369	8
3019337	18116023	8	~1983
3019349	72464377	8	~1984
3019351	48309617	8	~1984
3019391	6038783	7	~1982
3019619	6039239	7	~1982
3019619	24156953	8
3019697	18118183	8	~1983
3019811	24158489	8	~1983
3019883	6039767	7	~1982
3019981	18119887	8	~1983
3020261	18121567	8	~1983
3020351	6040703	7	~1982
3020399	6040799	7	~1982
3020579	6041159	7	~1982
3020651	6041303	7	~1982
3020683	30206831	8	~1983
3020789	24166313	8	~1983
3020971	48335537	8	~1984
3020993	96671777	8	~1985
3021131	6042263	7	~1982
3021163	72507913	8	~1984

Exp.	Prime Factor	Digits	Year
3021377	1274...694271	909526	1998
3021419	24171353	8	~1983
3021467	78558143	8	~1984
3021553	66474167	8	~1984
3021719	6043439	7	~1982
3021923	6043847	7	~1982
3021983	6043967	7	~1982
3022091	6044183	7	~1982
3022661	18135967	8	~1983
3022681	18136087	8	~1983
3022801	48364817	8	~1984
3023057	18138343	8	~1983
3023057	42322799	8
3023177	24185417	8	~1983
3023257	18139543	8	~1983
3023257	48372113	8
3023437	18140623	8	~1983
3023507	24188057	8	~1983
3023549	24188393	8	~1983
3023749	217709929	9	~1985
3023759	6047519	7	~1982
3023897	18143383	8	~1983
3024083	6048167	7	~1982
3024101	24192809	8	~1983
3024449	163320247	9	~1985

4.888.230 digits

25-06-29