Small Mersenne Prime Factors (page 1009/5490)

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
9366059	168589063	9	~1988
9366173	56197039	8	~1987
9366299	18732599	8	~1985
9366419	18732839	8	~1985
9366503	18733007	8	~1985
9366517	56199103	8	~1987
9366551	18733103	8	~1985
9366713	56200279	8	~1987
9366859	93668591	8	~1987
9367027	93670271	8	~1987
9367103	18734207	8	~1985
9367331	74938649	8	~1987
9367331	168611959	9
9367439	18734879	8	~1985
9367543	93675431	8	~1987
9367619	18735239	8	~1985
9367717	56206303	8	~1987
9367751	18735503	8	~1985
9368423	18736847	8	~1985
9368483	18736967	8	~1985
9368713	224849113	9	~1988
9369067	149905073	9	~1988
9369167	74953337	8	~1987
9369433	56216599	8	~1987
9369551	18739103	8	~1985

Exp.	Prime Factor	Digits	Year
9369667	224872009	9	~1988
9369733	56218399	8	~1987
9369757	56218543	8	~1987
9369797	56218783	8	~1987
9369821	56218927	8	~1987
9369863	18739727	8	~1985
9369881	56219287	8	~1987
9369937	56219623	8	~1987
9370183	93701831	8	~1987
9370243	93702431	8	~1987
9370643	18741287	8	~1985
9370693	56224159	8	~1987
9370811	18741623	8	~1985
9371053	56226319	8	~1987
9371081	56226487	8	~1987
9371171	74969369	8	~1987
9371231	18742463	8	~1985
9371353	56228119	8	~1987
9371423	18742847	8	~1985
9371441	56228647	8	~1987
9371897	356132087	9	~1989
9372221	56233327	8	~1987
9372239	74977913	8	~1987
9372577	56235463	8	~1987
9372953	56237719	8	~1987

Exp.	Prime Factor	Digits	Year
9373223	18746447	8	~1985
9373319	18746639	8	~1985
9373333	56239999	8	~1987
9373493	56240959	8	~1987
9374483	18748967	8	~1985
9375251	18750503	8	~1985
9375557	56253343	8	~1987
9375833	56254999	8	~1987
9375893	506298223	9	~1989
9375941	75007529	8	~1987
9376079	18752159	8	~1985
9376271	18752543	8	~1985
9376337	75010697	8	~1987
9376403	18752807	8	~1985
9376561	150024977	9	~1988
9376573	56259439	8	~1987
9376613	300051617	9	~1988
9376841	75014729	8	~1987
9376931	18753863	8	~1985
9377099	18754199	8	~1985
9377603	18755207	8	~1985
9377723	18755447	8	~1985
9377743	1969326031	10	~1990
9378133	56268799	8	~1987
9378233	56269399	8	~1987

Exp.	Prime Factor	Digits	Year
9378359	18756719	8	~1985
9378431	18756863	8	~1985
9378623	18757247	8	~1985
9378899	18757799	8	~1985
9379091	18758183	8	~1985
9379523	18759047	8	~1985
9379679	18759359	8	~1985
9379793	56278759	8	~1987
9380219	18760439	8	~1985
9380219	75041753	8
9380221	56281327	8	~1987
9380353	56282119	8	~1987
9380453	56282719	8	~1987
9380531	18761063	8	~1985
9380639	168851503	9	~1988
9380951	18761903	8	~1985
9381023	18762047	8	~1985
9381083	18762167	8	~1985
9381191	18762383	8	~1985
9381419	18762839	8	~1985
9381719	18763439	8	~1985
9381751	150108017	9	~1988
9382151	18764303	8	~1985
9382319	18764639	8	~1985
9382343	18764687	8	~1985

5.187.277 digits

25-11-17