Small Mersenne Prime Factors (page 866/5670)

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
7076093	42456559	8	~1986
7076197	283047881	9	~1988
7076453	99070343	8	~1987
7076717	42460303	8	~1986
7076761	42460567	8	~1986
7076807	56614457	8	~1986
7076903	14153807	8	~1985
7076941	212308231	9	~1987
7076999	14153999	8	~1985
7077263	14154527	8	~1985
7077419	14154839	8	~1985
7077743	14155487	8	~1985
7077803	14155607	8	~1985
7077821	42466927	8	~1986
7077857	42467143	8	~1986
7077911	56623289	8	~1986
7078033	42468199	8	~1986
7078147	169875529	9	~1987
7078219	70782191	8	~1986
7078271	14156543	8	~1985
7078283	14156567	8	~1985
7078387	70783871	8	~1986
7079243	169901833	9	~1987
7079279	56634233	8	~1986
7079459	14158919	8	~1985

Exp.	Prime Factor	Digits	Year
7079591	56636729	8	~1986
7079771	14159543	8	~1985
7080119	14160239	8	~1985
7080487	70804871	8	~1986
7081049	99134687	8	~1987
7081187	56649497	8	~1986
7081199	14162399	8	~1985
7081337	42488023	8	~1986
7081337	339904177	9
7081439	14162879	8	~1985
7081751	14163503	8	~1985
7081847	736512089	9	~1989
7082063	14164127	8	~1985
7082197	169972729	9	~1987
7082561	42495367	8	~1986
7082629	155817839	9	~1987
7082921	42497527	8	~1986
7082941	42497647	8	~1986
7082951	14165903	8	~1985
7083157	42498943	8	~1986
7083341	42500047	8	~1986
7083383	14166767	8	~1985
7083431	14166863	8	~1985
7083911	14167823	8	~1985
7083971	14167943	8	~1985

Exp.	Prime Factor	Digits	Year
7084043	14168087	8	~1985
7084403	14168807	8	~1985
7084531	70845311	8	~1986
7084541	42507247	8	~1986
7084547	56676377	8	~1986
7084559	14169119	8	~1985
7085237	42511423	8	~1986
7085399	14170799	8	~1985
7085531	14171063	8	~1985
7085581	42513487	8	~1986
7085843	14171687	8	~1985
7086239	14172479	8	~1985
7086341	56690729	8	~1986
7086479	14172959	8	~1985
7086587	56692697	8	~1986
7086593	42519559	8	~1986
7087043	14174087	8	~1985
7087097	99219359	8	~1987
7087109	56696873	8	~1986
7087229	56697833	8	~1986
7087439	14174879	8	~1985
7087583	14175167	8	~1985
7087603	70876031	8	~1986
7087799	14175599	8	~1985
7087999	127583983	9	~1987

Exp.	Prime Factor	Digits	Year
7088047	70880471	8	~1986
7088183	14176367	8	~1985
7088353	42530119	8	~1986
7088561	56708489	8	~1986
7088659	70886591	8	~1986
7088891	14177783	8	~1985
7089463	70894631	8	~1986
7089619	70896191	8	~1986
7089781	113436497	9	~1987
7089893	42539359	8	~1986
7090063	70900631	8	~1986
7090067	56720537	8	~1986
7090093	42540559	8	~1986
7090151	14180303	8	~1985
7090151	56721209	8
7090231	70902311	8	~1986
7090331	56722649	8	~1986
7090427	170170249	9	~1987
7090511	14181023	8	~1985
7090859	14181719	8	~1985
7090981	42545887	8	~1986
7091041	42546247	8	~1986
7091129	56729033	8	~1986
7091411	14182823	8	~1985
7091473	42548839	8	~1986

5.366.787 digits

26-02-08