Small Mersenne Prime Factors (page 747/5025)

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
5890979	47127833	8	~1985
5891051	11782103	8	~1984
5891261	35347567	8	~1985
5891383	58913831	8	~1986
5891467	58914671	8	~1986
5891531	11783063	8	~1984
5891531	47132249	8
5891663	11783327	8	~1984
5891849	47134793	8	~1985
5891983	58919831	8	~1986
5892371	47138969	8	~1985
5892443	11784887	8	~1984
5892521	35355127	8	~1985
5892721	35356327	8	~1985
5892791	11785583	8	~1984
5892989	47143913	8	~1985
5893403	11786807	8	~1984
5893411	58934111	8	~1986
5893697	176810911	9	~1987
5893879	58938791	8	~1986
5893997	35363983	8	~1985
5894039	11788079	8	~1984
5894177	47153417	8	~1985
5894363	11788727	8	~1984
5894377	35366263	8	~1985

Exp.	Prime Factor	Digits	Year
5894401	35366407	8	~1985
5894653	35367919	8	~1985
5894671	58946711	8	~1986
5894723	11789447	8	~1984
5894893	35369359	8	~1985
5895119	188643809	9	~1987
5895203	11790407	8	~1984
5895233	82533263	8	~1986
5895299	11790599	8	~1984
5895479	11790959	8	~1984
5895503	11791007	8	~1984
5895733	377326913	9	~1988
5895971	11791943	8	~1984
5896003	94336049	8	~1986
5896139	11792279	8	~1984
5896151	106130719	9	~1986
5896259	11792519	8	~1984
5896301	35377807	8	~1985
5896391	11792783	8	~1984
5896421	35378527	8	~1985
5896601	35379607	8	~1985
5896613	82552583	8	~1986
5896987	94351793	8	~1986
5897477	47179817	8	~1985
5897561	224107319	9	~1987

Exp.	Prime Factor	Digits	Year
5897767	58977671	8	~1986
5897851	58978511	8	~1986
5897981	35387887	8	~1985
5898043	58980431	8	~1986
5898287	47186297	8	~1985
5898293	35389759	8	~1985
5898367	200544479	9	~1987
5898413	35390479	8	~1985
5898617	35391703	8	~1985
5899079	11798159	8	~1984
5899081	35394487	8	~1985
5899087	94385393	8	~1986
5899163	11798327	8	~1984
5899199	11798399	8	~1984
5899217	35395303	8	~1985
5899259	11798519	8	~1984
5899307	47194457	8	~1985
5899451	11798903	8	~1984
5899501	35397007	8	~1985
5900099	11800199	8	~1984
5900123	11800247	8	~1984
5900243	11800487	8	~1984
5900399	11800799	8	~1984
5900423	11800847	8	~1984
5900441	47203529	8	~1985

Exp.	Prime Factor	Digits	Year
5900639	141615337	9	~1986
5900711	11801423	8	~1984
5900771	106213879	9	~1986
5900831	11801663	8	~1984
5900879	11801759	8	~1984
5901187	94418993	8	~1986
5901251	11802503	8	~1984
5901503	11803007	8	~1984
5901893	141645433	9	~1986
5902037	82628519	8	~1986
5902187	47217497	8	~1985
5902333	35413999	8	~1985
5902333	129851327	9
5902601	47220809	8	~1985
5902903	236116121	9	~1987
5902931	11805863	8	~1984
5903039	11806079	8	~1984
5903041	129866903	9	~1986
5903257	35419543	8	~1985
5903321	35419927	8	~1985
5903329	129873239	9	~1986
5903411	47227289	8	~1985
5903413	35420479	8	~1985
5903441	47227529	8	~1985
5903483	11806967	8	~1984

4.724.182 digits

25-04-13