Small Mersenne Prime Factors (page 977/5460)

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
8876051	17752103	8	~1985
8876297	124268159	9	~1987
8876531	17753063	8	~1985
8876653	905418607	9	~1989
8876663	17753327	8	~1985
8876717	71013737	8	~1987
8876831	17753663	8	~1985
8877061	53262367	8	~1986
8877061	621394271	9
8877419	17754839	8	~1985
8877623	17755247	8	~1985
8877851	230824127	9	~1988
8877899	17755799	8	~1985
8877923	17755847	8	~1985
8878601	53271607	8	~1986
8878921	53273527	8	~1986
8878949	124305287	9	~1987
8878973	53273839	8	~1986
8878979	17757959	8	~1985
8879153	53274919	8	~1986
8879179	159825223	9	~1988
8879243	17758487	8	~1985
8879393	53276359	8	~1986
8879401	53276407	8	~1986
8879447	71035577	8	~1987

Exp.	Prime Factor	Digits	Year
8879999	17759999	8	~1985
8880023	17760047	8	~1985
8880187	515050847	9	~1989
8880491	17760983	8	~1985
8880551	17761103	8	~1985
8880577	53283463	8	~1986
8880671	17761343	8	~1985
8880719	17761439	8	~1985
8881391	71051129	8	~1987
8881513	53289079	8	~1986
8881751	17763503	8	~1985
8881787	71054297	8	~1987
8881991	17763983	8	~1985
8882047	88820471	8	~1987
8882437	53294623	8	~1986
8882579	17765159	8	~1985
8882999	17765999	8	~1985
8883131	17766263	8	~1985
8883779	17767559	8	~1985
8883821	53302927	8	~1986
8883971	17767943	8	~1985
8883977	53303863	8	~1986
8884067	71072537	8	~1987
8884091	17768183	8	~1985
8884163	17768327	8	~1985

Exp.	Prime Factor	Digits	Year
8884349	639673129	9	~1989
8884511	17769023	8	~1985
8884859	159927463	9	~1988
8885039	17770079	8	~1985
8885113	53310679	8	~1986
8885117	53310703	8	~1986
8885117	71080937	8
8885171	159933079	9	~1988
8885641	53313847	8	~1986
8885699	17771399	8	~1985
8885771	17771543	8	~1985
8885777	71086217	8	~1987
8885837	53315023	8	~1986
8886077	71088617	8	~1987
8886173	53317039	8	~1986
8886239	17772479	8	~1985
8886551	17773103	8	~1985
8886617	53319703	8	~1986
8886701	53320207	8	~1986
8887271	17774543	8	~1985
8887423	213298153	9	~1988
8887547	71100377	8	~1987
8887553	53325319	8	~1986
8887691	71101529	8	~1987
8887721	53326327	8	~1986

Exp.	Prime Factor	Digits	Year
8887871	17775743	8	~1985
8887919	17775839	8	~1985
8888039	213312937	9	~1988
8888461	995507633	9	~1990
8888531	17777063	8	~1985
8888651	17777303	8	~1985
8889427	160009687	9	~1988
8889659	17779319	8	~1985
8889719	17779439	8	~1985
8889757	53338543	8	~1986
8889821	497829977	9	~1989
8889851	17779703	8	~1985
8889851	71118809	8
8890073	53340439	8	~1986
8890243	88902431	8	~1987
8890457	53342743	8	~1986
8890513	53343079	8	~1986
8890621	53343727	8	~1986
8890709	71125673	8	~1987
8891171	17782343	8	~1985
8891237	53347423	8	~1986
8891471	17782943	8	~1985
8891549	71132393	8	~1987
8891557	53349343	8	~1986
8891579	17783159	8	~1985

5.157.210 digits

25-11-02