Small Mersenne Prime Factors (page 758/5205)

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
5923901	35543407	8	~1985
5923961	47391689	8	~1985
5924339	11848679	8	~1984
5924489	47395913	8	~1985
5924519	11849039	8	~1984
5924573	35547439	8	~1985
5924647	142191529	9	~1987
5924783	11849567	8	~1984
5924833	35548999	8	~1985
5925133	35550799	8	~1985
5925173	35551039	8	~1985
5925203	11850407	8	~1984
5925253	35551519	8	~1985
5925377	47403017	8	~1985
5925583	59255831	8	~1986
5925757	35554543	8	~1985
5925971	47407769	8	~1985
5926073	35556439	8	~1985
5926139	11852279	8	~1984
5926337	177790111	9	~1987
5926463	248911447	9	~1987
5926889	82976447	8	~1986
5927137	35562823	8	~1985
5927567	47420537	8	~1985
5927587	142262089	9	~1987

Exp.	Prime Factor	Digits	Year
5927921	35567527	8	~1985
5928119	11856239	8	~1984
5928119	47424953	8
5928193	94851089	8	~1986
5928343	59283431	8	~1986
5928653	35571919	8	~1985
5928683	11857367	8	~1984
5928899	249013759	9	~1987
5928959	47431673	8	~1985
5929019	11858039	8	~1984
5929067	47432537	8	~1985
5929211	11858423	8	~1984
5929289	47434313	8	~1985
5929303	94868849	8	~1986
5929321	35575927	8	~1985
5929403	11858807	8	~1984
5929439	47435513	8	~1985
5929633	35577799	8	~1985
5929873	35579239	8	~1985
5930039	47440313	8	~1985
5930069	47440553	8	~1985
5930081	35580487	8	~1985
5930081	284643889	9
5930201	47441609	8	~1985
5930279	47442233	8	~1985

Exp.	Prime Factor	Digits	Year
5930521	35583127	8	~1985
5930651	11861303	8	~1984
5930657	35583943	8	~1985
5930663	11861327	8	~1984
5930791	106754239	9	~1986
5931311	11862623	8	~1984
5931899	11863799	8	~1984
5932111	59321111	8	~1986
5932271	11864543	8	~1984
5932319	11864639	8	~1984
5932403	11864807	8	~1984
5932523	11865047	8	~1984
5932571	11865143	8	~1984
5933093	35598559	8	~1985
5933177	35599063	8	~1985
5933351	11866703	8	~1984
5933549	225474863	9	~1987
5933713	35602279	8	~1985
5933783	11867567	8	~1984
5933849	47470793	8	~1985
5934197	47473577	8	~1985
5934359	11868719	8	~1984
5934413	35606479	8	~1985
5934503	11869007	8	~1984
5934611	11869223	8	~1984

Exp.	Prime Factor	Digits	Year
5934697	94955153	8	~1986
5934701	35608207	8	~1985
5934959	11869919	8	~1984
5934967	59349671	8	~1986
5934983	11869967	8	~1984
5935093	35610559	8	~1985
5935399	59353991	8	~1986
5935421	35612527	8	~1985
5935511	47484089	8	~1985
5935621	35613727	8	~1985
5935859	11871719	8	~1984
5935883	11871767	8	~1984
5935991	11871983	8	~1984
5936081	35616487	8	~1985
5936311	59363111	8	~1986
5936831	11873663	8	~1984
5936837	35621023	8	~1985
5936891	11873783	8	~1984
5937167	676837039	9	~1988
5937241	35623447	8	~1985
5937287	581854127	9	~1988
5937341	35624047	8	~1985
5937341	47498729	8
5937521	47500169	8	~1985
5937527	47500217	8	~1985

4.903.097 digits

25-07-08