Small Mersenne Prime Factors (page 762/5340)

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
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
5897767	58977671	8	~1986
5897851	58978511	8	~1986
5897981	35387887	8	~1985
5898043	58980431	8	~1986
5898287	47186297	8	~1985
5898293	35389759	8	~1985

Exp.	Prime Factor	Digits	Year
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
5900639	141615337	9	~1987
5900711	11801423	8	~1984
5900771	106213879	9	~1986
5900831	11801663	8	~1984
5900879	11801759	8	~1984
5901187	94418993	8	~1986

Exp.	Prime Factor	Digits	Year
5901251	11802503	8	~1984
5901503	11803007	8	~1984
5901893	141645433	9	~1987
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
5903489	224332583	9	~1987
5904161	47233289	8	~1985
5904323	11808647	8	~1984
5904347	47234777	8	~1985
5904347	106278247	9
5904397	35426383	8	~1985

Exp.	Prime Factor	Digits	Year
5904517	35427103	8	~1985
5904727	59047271	8	~1986
5904863	11809727	8	~1984
5905099	59050991	8	~1986
5905297	35431783	8	~1985
5905381	94486097	8	~1986
5905439	11810879	8	~1984
5905499	11810999	8	~1984
5905643	11811287	8	~1984
5905897	35435383	8	~1985
5905943	11811887	8	~1984
5906003	11812007	8	~1984
5906083	59060831	8	~1986
5906261	177187831	9	~1987
5906279	47250233	8	~1985
5906297	47250377	8	~1985
5906723	11813447	8	~1984
5906753	35440519	8	~1985
5906759	47254073	8	~1985
5907061	35442367	8	~1985
5907073	35442439	8	~1985
5907259	59072591	8	~1986
5907259	106330663	9
5907311	11814623	8	~1984
5907337	35444023	8	~1985

5.037.460 digits

25-09-07