Small Mersenne Prime Factors (page 875/5070)

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
7675741	46054447	8	~1986
7675793	107461103	9	~1987
7675931	15351863	8	~1985
7675961	230278831	9	~1988
7676243	15352487	8	~1985
7676447	368469457	9	~1988
7676699	15353399	8	~1985
7677011	15354023	8	~1985
7677073	46062439	8	~1986
7677179	15354359	8	~1985
7677203	15354407	8	~1985
7677359	15354719	8	~1985
7677413	46064479	8	~1986
7677511	921301321	9	~1989
7677533	46065199	8	~1986
7677589	414589807	9	~1988
7677661	46065967	8	~1986
7677679	368528593	9	~1988
7677893	184269433	9	~1987
7677973	46067839	8	~1986
7678031	15356063	8	~1985
7678091	15356183	8	~1985
7678217	184277209	9	~1987
7678571	15357143	8	~1985
7678709	61429673	8	~1986

Exp.	Prime Factor	Digits	Year
7678787	61430297	8	~1986
7678999	76789991	8	~1986
7679099	15358199	8	~1985
7679123	15358247	8	~1985
7679579	15359159	8	~1985
7679873	46079239	8	~1986
7679879	15359759	8	~1985
7679981	61439849	8	~1986
7680017	46080103	8	~1986
7680017	599041327	9
7680131	15360263	8	~1985
7680131	61441049	8
7680173	46081039	8	~1986
7680293	46081759	8	~1986
7680383	15360767	8	~1985
7680671	61445369	8	~1986
7680791	15361583	8	~1985
7680973	46085839	8	~1986
7681489	184355737	9	~1987
7681511	199719287	9	~1987
7681519	76815191	8	~1986
7681577	61452617	8	~1986
7681631	15363263	8	~1985
7681651	76816511	8	~1986
7681763	15363527	8	~1985

Exp.	Prime Factor	Digits	Year
7681783	184362793	9	~1987
7681787	61454297	8	~1986
7681799	138272383	9	~1987
7682021	61456169	8	~1986
7682107	76821071	8	~1986
7682159	15364319	8	~1985
7682219	15364439	8	~1985
7682237	46093423	8	~1986
7682771	15365543	8	~1985
7682819	15365639	8	~1985
7682879	61463033	8	~1986
7682951	138293119	9	~1987
7683037	46098223	8	~1986
7683421	230502631	9	~1988
7683479	15366959	8	~1985
7683653	46101919	8	~1986
7683839	15367679	8	~1985
7683899	15367799	8	~1985
7684253	46105519	8	~1986
7684381	46106287	8	~1986
7684421	46106527	8	~1986
7684751	15369503	8	~1985
7684763	15369527	8	~1985
7684877	46109263	8	~1986
7685021	61480169	8	~1986

Exp.	Prime Factor	Digits	Year
7685057	46110343	8	~1986
7685077	122961233	9	~1987
7685459	15370919	8	~1985
7685543	15371087	8	~1985
7685663	15371327	8	~1985
7685791	122972657	9	~1987
7685857	46115143	8	~1986
7686011	15372023	8	~1985
7686067	138349207	9	~1987
7686083	15372167	8	~1985
7686101	61488809	8	~1986
7686221	46117327	8	~1986
7686277	46117663	8	~1986
7686593	46119559	8	~1986
7686821	46120927	8	~1986
7686851	61494809	8	~1986
7686911	15373823	8	~1985
7686923	15373847	8	~1985
7687079	15374159	8	~1985
7687103	15374207	8	~1985
7687271	61498169	8	~1986
7687297	46123783	8	~1986
7687331	15374663	8	~1985
7687763	15375527	8	~1985
7687811	61502489	8	~1986

4.768.925 digits

25-05-04