Small Mersenne Prime Factors (page 715/5190)

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
5376443	10752887	8	~1984
5376551	10753103	8	~1984
5377103	10754207	8	~1984
5377153	129051673	9	~1986
5377237	32263423	8	~1985
5377343	139810919	9	~1986
5377417	32264503	8	~1985
5377439	10754879	8	~1984
5377657	32265943	8	~1985
5377679	10755359	8	~1984
5377907	516279073	9	~1988
5377919	225872599	9	~1987
5378207	96807727	8	~1986
5378677	129088249	9	~1986
5378731	53787311	8	~1985
5378993	32273959	8	~1985
5379113	32274679	8	~1985
5379251	96826519	8	~1986
5379281	43034249	8	~1985
5379359	10758719	8	~1984
5379431	139865207	9	~1986
5379533	32277199	8	~1985
5379611	10759223	8	~1984
5379637	32277823	8	~1985
5380237	32281423	8	~1985

Exp.	Prime Factor	Digits	Year
5380351	86085617	8	~1986
5380423	182934383	9	~1987
5380499	43043993	8	~1985
5380691	10761383	8	~1984
5380883	10761767	8	~1984
5380937	32285623	8	~1985
5380943	10761887	8	~1984
5381093	75335303	8	~1986
5381377	129153049	9	~1986
5381581	32289487	8	~1985
5381819	10763639	8	~1984
5381939	96874903	8	~1986
5381951	10763903	8	~1984
5382107	43056857	8	~1985
5382119	43056953	8	~1985
5382233	32293399	8	~1985
5382691	86123057	8	~1986
5382991	53829911	8	~1985
5383151	10766303	8	~1984
5383361	43066889	8	~1985
5383513	118437287	9	~1986
5383787	43070297	8	~1985
5383949	2228954887	10	~1989
5384063	10768127	8	~1984
5384303	10768607	8	~1984

Exp.	Prime Factor	Digits	Year
5384383	53843831	8	~1985
5384471	10768943	8	~1984
5384501	32307007	8	~1985
5384671	53846711	8	~1985
5385593	32313559	8	~1985
5385839	10771679	8	~1984
5385839	43086713	8
5386103	10772207	8	~1984
5386769	560223977	9	~1988
5386891	86190257	8	~1986
5386993	32321959	8	~1985
5387071	53870711	8	~1985
5387111	10774223	8	~1984
5387117	75419639	8	~1986
5387143	53871431	8	~1985
5387159	10774319	8	~1984
5387171	10774343	8	~1984
5387461	215498441	9	~1987
5387567	43100537	8	~1985
5387579	10775159	8	~1984
5387617	32325703	8	~1985
5387891	10775783	8	~1984
5387909	43103273	8	~1985
5388023	10776047	8	~1984
5388101	32328607	8	~1985

Exp.	Prime Factor	Digits	Year
5388319	215532761	9	~1987
5388611	10777223	8	~1984
5388707	43109657	8	~1985
5388797	43110377	8	~1985
5388893	32333359	8	~1985
5388961	32333767	8	~1985
5389073	32334439	8	~1985
5389073	75447023	8
5389121	32334727	8	~1985
5389183	183232223	9	~1987
5389253	21082757737	11	~1992
5389343	10778687	8	~1984
5389361	43114889	8	~1985
5389367	43114937	8	~1985
5389619	10779239	8	~1984
5389619	129350857	9
5389649	129351577	9	~1986
5390087	43120697	8	~1985
5390233	32341399	8	~1985
5390279	10780559	8	~1984
5390291	43122329	8	~1985
5390501	32343007	8	~1985
5390531	10781063	8	~1984
5390599	53905991	8	~1985
5390677	646881241	9	~1988

4.888.230 digits

25-06-29