Small Mersenne Prime Factors (page 899/4665)

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
8506081	51036487	8	~1986
8506427	476359913	9	~1989
8506643	17013287	8	~1985
8506703	17013407	8	~1985
8506907	408331537	9	~1988
8507099	17014199	8	~1985
8507221	51043327	8	~1986
8507281	51043687	8	~1986
8507357	51044143	8	~1986
8507363	17014727	8	~1985
8507591	612546553	9	~1989
8507651	17015303	8	~1985
8507711	68061689	8	~1987
8507791	136124657	9	~1987
8508011	17016023	8	~1985
8508061	51048367	8	~1986
8508191	17016383	8	~1985
8508373	51050239	8	~1986
8508757	51052543	8	~1986
8509079	17018159	8	~1985
8509121	68072969	8	~1987
8509147	85091471	8	~1987
8509211	17018423	8	~1985
8509247	68073977	8	~1987
8509331	17018663	8	~1985

Exp.	Prime Factor	Digits	Year
8509433	119132063	9	~1987
8509601	51057607	8	~1986
8509619	17019239	8	~1985
8509661	255289831	9	~1988
8509799	17019599	8	~1985
8509861	51059167	8	~1986
8510039	17020079	8	~1985
8510441	68083529	8	~1987
8511001	51066007	8	~1986
8511131	17022263	8	~1985
8511367	1361818721	10	~1990
8511491	17022983	8	~1985
8511497	68091977	8	~1987
8511617	51069703	8	~1986
8511619	85116191	8	~1987
8511731	17023463	8	~1985
8511803	17023607	8	~1985
8511821	51070927	8	~1986
8511913	51071479	8	~1986
8512111	136193777	9	~1987
8512351	136197617	9	~1987
8512391	17024783	8	~1985
8512391	153223039	9
8512453	51074719	8	~1986
8512643	17025287	8	~1985

Exp.	Prime Factor	Digits	Year
8512799	17025599	8	~1985
8512883	476721449	9	~1989
8513033	51078199	8	~1986
8513171	17026343	8	~1985
8513207	153237727	9	~1987
8513341	51080047	8	~1986
8513497	51080983	8	~1986
8514173	51085039	8	~1986
8514179	17028359	8	~1985
8514277	408685297	9	~1988
8514419	68115353	8	~1987
8514509	68116073	8	~1987
8514743	17029487	8	~1985
8515141	51090847	8	~1986
8515307	221397983	9	~1988
8515379	17030759	8	~1985
8515853	51095119	8	~1986
8515931	17031863	8	~1985
8516159	17032319	8	~1985
8516197	51097183	8	~1986
8516489	68131913	8	~1987
8516639	17033279	8	~1985
8516797	51100783	8	~1986
8516927	221440103	9	~1988
8517023	17034047	8	~1985

Exp.	Prime Factor	Digits	Year
8517253	51103519	8	~1986
8517401	51104407	8	~1986
8517419	17034839	8	~1985
8517563	17035127	8	~1985
8517661	255529831	9	~1988
8517779	17035559	8	~1985
8517863	17035727	8	~1985
8518507	85185071	8	~1987
8518883	17037767	8	~1985
8518931	17037863	8	~1985
8518931	68151449	8
8519051	17038103	8	~1985
8519221	51115327	8	~1986
8519257	51115543	8	~1986
8519279	17038559	8	~1985
8519411	17038823	8	~1985
8519963	17039927	8	~1985
8520023	17040047	8	~1985
8520427	85204271	8	~1987
8520679	153372223	9	~1987
8521703	17043407	8	~1985
8522147	68177177	8	~1987
8522537	51135223	8	~1986
8522639	17045279	8	~1985
8522671	85226711	8	~1987

4.368.158 digits

24-10-27