Small Mersenne Prime Factors (page 959/5205)

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
8869919	70959353	8	~1987
8870021	53220127	8	~1986
8870369	70962953	8	~1987
8870423	17740847	8	~1985
8870783	17741567	8	~1985
8870819	212899657	9	~1988
8871091	88710911	8	~1987
8871251	17742503	8	~1985
8871701	53230207	8	~1986
8871893	53231359	8	~1986
8871899	17743799	8	~1985
8872153	53232919	8	~1986
8872621	53235727	8	~1986
8872679	17745359	8	~1985
8872723	212945353	9	~1988
8872739	17745479	8	~1985
8872891	141966257	9	~1987
8872901	53237407	8	~1986
8872973	53237839	8	~1986
8873273	53239639	8	~1986
8873519	17747039	8	~1985
8873591	17747183	8	~1985
8873597	53241583	8	~1986
8873701	53242207	8	~1986
8873783	17747567	8	~1985

Exp.	Prime Factor	Digits	Year
8873897	70991177	8	~1987
8874143	17748287	8	~1985
8874157	53244943	8	~1986
8874269	70994153	8	~1987
8874301	195234623	9	~1988
8874791	851979937	9	~1989
8874863	17749727	8	~1985
8874913	53249479	8	~1986
8874977	53249863	8	~1986
8875211	17750423	8	~1985
8875253	284008097	9	~1988
8875277	53251663	8	~1986
8876051	17752103	8	~1985
8876297	124268159	9	~1987
8876531	17753063	8	~1985
8876653	905418607	9	~1989
8876663	17753327	8	~1985
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

Exp.	Prime Factor	Digits	Year
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
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
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

Exp.	Prime Factor	Digits	Year
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
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
8886173	53317039	8	~1986
8886239	17772479	8	~1985
8886551	17773103	8	~1985

4.903.097 digits

25-07-08