Small Mersenne Prime Factors (page 742/5460)

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
5566567	89065073	8	~1986
5566901	44535209	8	~1985
5566919	11133839	8	~1984
5566969	122473319	9	~1986
5567033	33402199	8	~1985
5567183	144746759	9	~1986
5567533	89080529	8	~1986
5567801	44542409	8	~1985
5567843	11135687	8	~1984
5567873	33407239	8	~1985
5567987	44543897	8	~1985
5568149	77954087	8	~1986
5568161	44545289	8	~1985
5568239	44545913	8	~1985
5568547	55685471	8	~1985
5568677	33412063	8	~1985
5568791	11137583	8	~1984
5568821	33412927	8	~1985
5568847	100239247	9	~1986
5568971	44551769	8	~1985
5569079	11138159	8	~1984
5569163	11138327	8	~1984
5569211	11138423	8	~1984
5569271	144801047	9	~1986
5569379	11138759	8	~1984

Exp.	Prime Factor	Digits	Year
5569441	122527703	9	~1986
5569517	33417103	8	~1985
5569589	44556713	8	~1985
5569997	33419983	8	~1985
5570039	11140079	8	~1984
5570267	44562137	8	~1985
5570269	133686457	9	~1986
5570303	11140607	8	~1984
5570501	33423007	8	~1985
5570633	33423799	8	~1985
5570699	11141399	8	~1984
5570723	11141447	8	~1984
5570833	33424999	8	~1985
5570879	11141759	8	~1984
5571179	11142359	8	~1984
5571353	33428119	8	~1985
5571487	55714871	8	~1985
5571491	11142983	8	~1984
5571539	11143079	8	~1984
5571763	55717631	8	~1985
5572097	78009359	8	~1986
5572297	33433783	8	~1985
5572313	78012383	8	~1986
5572331	11144663	8	~1984
5572439	11144879	8	~1984

Exp.	Prime Factor	Digits	Year
5572571	11145143	8	~1984
5572631	11145263	8	~1984
5572751	11145503	8	~1984
5572793	33436759	8	~1985
5572907	44583257	8	~1985
5572907	100312327	9
5573257	33439543	8	~1985
5573363	11146727	8	~1984
5573461	33440767	8	~1985
5573587	55735871	8	~1985
5573677	33442063	8	~1985
5573723	11147447	8	~1984
5573993	167219791	9	~1987
5574083	178370657	9	~1987
5574313	33445879	8	~1985
5574367	55743671	8	~1985
5574427	89190833	8	~1986
5574977	44599817	8	~1985
5575019	11150039	8	~1984
5575259	11150519	8	~1984
5575399	55753991	8	~1985
5575561	33453367	8	~1985
5575693	33454159	8	~1985
5575783	758306489	9	~1988
5576047	100368847	9	~1986

Exp.	Prime Factor	Digits	Year
5576099	11152199	8	~1984
5576303	11152607	8	~1984
5576371	55763711	8	~1985
5576413	33458479	8	~1985
5576537	44612297	8	~1985
5576573	78072023	8	~1986
5576891	11153783	8	~1984
5577191	11154383	8	~1984
5577379	1126630559	10	~1989
5577449	44619593	8	~1985
5577839	44622713	8	~1985
5578031	44624249	8	~1985
5578073	33468439	8	~1985
5578451	11156903	8	~1984
5578763	11157527	8	~1984
5579033	301267783	9	~1987
5579053	33474319	8	~1985
5579227	55792271	8	~1985
5579377	33476263	8	~1985
5579461	33476767	8	~1985
5579591	44636729	8	~1985
5579771	11159543	8	~1984
5579963	11159927	8	~1984
5580143	11160287	8	~1984
5580247	55802471	8	~1985

5.157.210 digits

25-11-02