Small Mersenne Prime Factors (page 489/5190)

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
2890259	5780519	7	~1981
2890319	23122553	8	~1983
2890379	5780759	7	~1981
2890463	5780927	7	~1981
2890487	161867273	9	~1985
2890619	5781239	7	~1981
2890957	341132927	9	~1986
2891051	5782103	7	~1981
2891137	86734111	8	~1984
2891201	17347207	8	~1983
2891303	5782607	7	~1981
2891389	63610559	8	~1984
2891509	462641441	9	~1986
2892077	17352463	8	~1983
2892107	23136857	8	~1983
2892191	23137529	8	~1983
2892251	5784503	7	~1981
2892299	5784599	7	~1981
2892341	23138729	8	~1983
2892341	17301983863	11
2892359	5784719	7	~1981
2892367	46277873	8	~1984
2892419	208254169	9	~1985
2892569	109917623	9	~1985
2893097	23144777	8	~1983

Exp.	Prime Factor	Digits	Year
2893237	17359423	8	~1983
2893283	5786567	7	~1981
2893357	17360143	8	~1983
2893391	23147129	8	~1983
2893393	17360359	8	~1983
2893777	46300433	8	~1984
2893843	28938431	8	~1983
2894053	63669167	8	~1984
2894123	5788247	7	~1981
2894219	5788439	7	~1981
2894443	69466633	8	~1984
2894449	272078207	9	~1986
2894483	5788967	7	~1981
2894587	28945871	8	~1983
2894657	17367943	8	~1983
2894831	283693439	9	~1986
2894861	162112217	9	~1985
2895187	52113367	8	~1984
2895241	17371447	8	~1983
2895377	40535279	8	~1984
2895463	46327409	8	~1984
2895479	5790959	7	~1981
2895637	17373823	8	~1983
2895821	23166569	8	~1983
2895821	277998817	9

Exp.	Prime Factor	Digits	Year
2895833	69499993	8	~1984
2896031	5792063	7	~1981
2896099	28960991	8	~1983
2896139	5792279	7	~1981
2896207	46339313	8	~1984
2896277	17377663	8	~1983
2896297	1940518991	10	~1988
2896319	5792639	7	~1981
2896373	17378239	8	~1983
2896403	5792807	7	~1981
2896703	469265887	9	~1986
2896739	5793479	7	~1981
2896763	5793527	7	~1981
2896877	23175017	8	~1983
2896963	98496743	8	~1984
2897003	5794007	7	~1981
2897023	69528553	8	~1984
2897171	5794343	7	~1981
2897227	28972271	8	~1983
2897269	990865999	9	~1987
2897299	28972991	8	~1983
2897423	5794847	7	~1981
2897449	202821431	9	~1985
2897579	5795159	7	~1981
2897621	17385727	8	~1983

Exp.	Prime Factor	Digits	Year
2897627	23181017	8	~1983
2897711	5795423	7	~1981
2897933	17387599	8	~1983
2898047	23184377	8	~1983
2898101	17388607	8	~1983
2898197	23185577	8	~1983
2898367	52170607	8	~1984
2898503	5797007	7	~1981
2898557	69565369	8	~1984
2898733	17392399	8	~1983
2898733	86961991	8
2898743	5797487	7	~1981
2898803	5797607	7	~1981
2898803	75368879	8
2898901	17393407	8	~1983
2899031	5798063	7	~1981
2899031	23192249	8
2899037	40586519	8	~1984
2899139	5798279	7	~1981
2899271	5798543	7	~1981
2899271	52186879	8
2899279	28992791	8	~1983
2899313	69583513	8	~1984
2899349	23194793	8	~1983
2899373	92779937	8	~1984

4.888.230 digits

25-06-29