Small Mersenne Prime Factors (page 423/5850)

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
2209793	30937103	8	~1983
2210009	17680073	8	~1982
2210009	30940127	8
2210141	13260847	8	~1982
2210227	75147719	8	~1984
2210287	88411481	8	~1984
2210291	4420583	7	~1981
2210303	4420607	7	~1981
2210309	17682473	8	~1982
2210387	17683097	8	~1982
2210389	66311671	8	~1983
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

Exp.	Prime Factor	Digits	Year
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
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

Exp.	Prime Factor	Digits	Year
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
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

Exp.	Prime Factor	Digits	Year
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
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

5.546.121 digits

26-05-03