Small Mersenne Prime Factors (page 422/5775)

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
2210401	35366417	8	~1983
2210407	53049769	8	~1983
2210413	88416521	8	~1984
2210419	22104191	8	~1982
2210521	13263127	8	~1982
2210723	4421447	7	~1981
2210777	17686217	8	~1982
2210891	4421783	7	~1981
2210939	17687513	8	~1982
2211023	336075497	9	~1985
2211109	48644399	8	~1983
2211179	4422359	7	~1981
2211227	110561351	9	~1984
2211227	145940983	9
2211263	4422527	7	~1981
2211367	39804607	8	~1983
2211373	53072953	8	~1983
2211439	106149073	9	~1984
2211541	13269247	8	~1982
2211541	48653903	8
2211563	4423127	7	~1981
2211667	39810007	8	~1983
2211793	48659447	8	~1983
2211929	66357871	8	~1983
2211941	17695529	8	~1982

Exp.	Prime Factor	Digits	Year
2212229	53093497	8	~1983
2212241	17697929	8	~1982
2212333	141589313	9	~1984
2212391	106194769	9	~1984
2212519	39825343	8	~1983
2212571	4425143	7	~1981
2212967	17703737	8	~1982
2213053	53113273	8	~1983
2213069	17704553	8	~1982
2213201	17705609	8	~1982
2213293	154930511	9	~1984
2213389	48694559	8	~1983
2213423	4426847	7	~1981
2213441	13280647	8	~1982
2213537	17708297	8	~1982
2213593	53126233	8	~1983
2213623	75263183	8	~1984
2213759	4427519	7	~1981
2213891	39850039	8	~1983
2213963	57563039	8	~1983
2213971	35423537	8	~1983
2214011	4428023	7	~1981
2214161	13284967	8	~1982
2214169	53140057	8	~1983
2214319	75286847	8	~1984

Exp.	Prime Factor	Digits	Year
2214343	35429489	8	~1983
2214599	17716793	8	~1982
2214731	4429463	7	~1981
2214791	4429583	7	~1981
2214929	372108073	9	~1985
2214959	17719673	8	~1982
2215133	31011863	8	~1983
2215277	53166649	8	~1983
2215573	1222996297	10	~1987
2215651	35450417	8	~1983
2215793	159537097	9	~1984
2215943	93069607	8	~1984
2216153	70916897	8	~1984
2216237	17729897	8	~1982
2216317	13297903	8	~1982
2216321	17730569	8	~1982
2216399	39895183	8	~1983
2216413	13298479	8	~1982
2216471	4432943	7	~1981
2216657	31033199	8	~1983
2216659	22166591	8	~1982
2216699	4433399	7	~1981
2216759	4433519	7	~1981
2216897	17735177	8	~1982
2216897	31036559	8

Exp.	Prime Factor	Digits	Year
2216917	88676681	8	~1984
2216999	4433999	7	~1981
2217029	17736233	8	~1982
2217101	13302607	8	~1982
2217101	17736809	8
2217233	13303399	8	~1982
2217251	4434503	7	~1981
2217409	66522271	8	~1983
2217757	13306543	8	~1982
2217757	53226169	8
2217779	4435559	7	~1981
2217881	17743049	8	~1982
2217967	22179671	8	~1982
2218091	4436183	7	~1981
2218283	4436567	7	~1981
2218319	4436639	7	~1981
2218319	53239657	8
2218331	17746649	8	~1982
2218343	4436687	7	~1981
2218439	4436879	7	~1981
2218439	53242537	8
2218451	4436903	7	~1981
2218451	106485649	9
2218523	57681599	8	~1983
2218549	66556471	8	~1983

5.471.290 digits

26-03-29