Small Mersenne Prime Factors (page 877/5205)

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
7589381	45536287	8	~1986
7589573	1017002783	10	~1989
7589623	258047183	9	~1988
7589639	15179279	8	~1985
7589707	136614727	9	~1987
7589723	15179447	8	~1985
7589849	60718793	8	~1986
7589867	60718937	8	~1986
7589903	15179807	8	~1985
7589999	15179999	8	~1985
7590019	75900191	8	~1986
7590119	15180239	8	~1985
7590571	121449137	9	~1987
7590743	15181487	8	~1985
7591217	288466247	9	~1988
7591313	106278383	9	~1987
7591439	15182879	8	~1985
7591459	75914591	8	~1986
7591483	75914831	8	~1986
7592063	242946017	9	~1988
7592393	45554359	8	~1986
7592747	60741977	8	~1986
7592759	15185519	8	~1985
7593023	15186047	8	~1985
7593191	15186383	8	~1985

Exp.	Prime Factor	Digits	Year
7593317	60746537	8	~1986
7593479	15186959	8	~1985
7593637	45561823	8	~1986
7593727	75937271	8	~1986
7593953	45563719	8	~1986
7594183	1169504183	10	~1989
7594207	75942071	8	~1986
7594397	45566383	8	~1986
7594403	15188807	8	~1985
7594501	45567007	8	~1986
7594571	60756569	8	~1986
7594933	45569599	8	~1986
7595123	15190247	8	~1985
7595179	75951791	8	~1986
7595351	136716319	9	~1987
7595519	60764153	8	~1986
7595663	15191327	8	~1985
7595891	15191783	8	~1985
7595927	60767417	8	~1986
7596217	182309209	9	~1987
7596341	45578047	8	~1986
7596497	45578983	8	~1986
7596577	45579463	8	~1986
7596857	45581143	8	~1986
7596983	15193967	8	~1985

Exp.	Prime Factor	Digits	Year
7597049	60776393	8	~1986
7597211	15194423	8	~1985
7597537	45585223	8	~1986
7597643	15195287	8	~1985
7598287	18676589447	11	~1992
7598399	15196799	8	~1985
7598411	15196823	8	~1985
7598483	15196967	8	~1985
7598753	106382543	9	~1987
7599037	45594223	8	~1986
7599071	15198143	8	~1985
7599169	167181719	9	~1987
7599457	121591313	9	~1987
7599539	60796313	8	~1986
7599577	45597463	8	~1986
7599797	45598783	8	~1986
7599857	45599143	8	~1986
7600163	15200327	8	~1985
7600169	60801353	8	~1986
7600199	60801593	8	~1986
7600273	45601639	8	~1986
7600331	15200663	8	~1985
7600391	136807039	9	~1987
7600403	15200807	8	~1985
7600993	121615889	9	~1987

Exp.	Prime Factor	Digits	Year
7601039	60808313	8	~1986
7601093	45606559	8	~1986
7601467	76014671	8	~1986
7601519	15203039	8	~1985
7601651	15203303	8	~1985
7601903	15203807	8	~1985
7601953	45611719	8	~1986
7602503	182460073	9	~1987
7602521	45615127	8	~1986
7602697	45616183	8	~1986
7603213	167270687	9	~1987
7603333	45619999	8	~1986
7603451	15206903	8	~1985
7603559	15207119	8	~1985
7603679	15207359	8	~1985
7604081	45624487	8	~1986
7604197	121667153	9	~1987
7604231	15208463	8	~1985
7604279	15208559	8	~1985
7604279	60834233	8
7604347	121669553	9	~1987
7604407	76044071	8	~1986
7604659	76046591	8	~1986
7604711	15209423	8	~1985
7604879	15209759	8	~1985

4.903.097 digits

25-07-08