Small Mersenne Prime Factors (page 451/5985)

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
2416859	19334873	8	~1982
2416859	43503463	8
2416871	4833743	7	~1981
2417251	116028049	9	~1984
2417279	43511023	8	~1983
2417423	4834847	7	~1981
2417743	24177431	8	~1983
2417837	33849719	8	~1983
2417897	265968671	9	~1985
2417903	4835807	7	~1981
2417951	4835903	7	~1981
2418037	58032889	8	~1984
2418257	14509543	8	~1982
2418329	33856607	8	~1983
2418463	101575447	9	~1984
2418673	14512039	8	~1982
2418673	38698769	8
2418679	43536223	8	~1983
2418799	580511761	9	~1986
2418839	178994087	9	~1985
2419159	24191591	8	~1983
2419331	425802257	9	~1986
2419463	4838927	7	~1981
2419523	4839047	7	~1981
2419801	14518807	8	~1982

Exp.	Prime Factor	Digits	Year
2419883	4839767	7	~1981
2420009	19360073	8	~1982
2420051	4840103	7	~1981
2420063	4840127	7	~1981
2420279	4840559	7	~1981
2420339	4840679	7	~1981
2420371	38725937	8	~1983
2420471	4840943	7	~1981
2420549	33887687	8	~1983
2420557	14523343	8	~1982
2420699	4841399	7	~1981
2420863	101676247	9	~1984
2420941	14525647	8	~1982
2420969	33893567	8	~1983
2420993	58103833	8	~1984
2421073	14526439	8	~1982
2421137	58107289	8	~1984
2421203	4842407	7	~1981
2421253	14527519	8	~1982
2421281	19370249	8	~1982
2421383	4842767	7	~1981
2421491	4842983	7	~1981
2421527	193722161	9	~1985
2421673	14530039	8	~1982
2421893	72656791	8	~1984

Exp.	Prime Factor	Digits	Year
2421959	19375673	8	~1982
2422027	24220271	8	~1983
2422241	77511713	8	~1984
2422243	58133833	8	~1984
2422447	24224471	8	~1983
2422463	392439007	9	~1986
2422489	285853703	9	~1985
2422523	58140553	8	~1984
2422547	43605847	8	~1983
2422621	116285809	9	~1984
2422699	116289553	9	~1984
2422759	58146217	8	~1984
2422939	24229391	8	~1983
2423021	14538127	8	~1982
2423237	19385897	8	~1982
2423339	4846679	7	~1981
2423411	4846823	7	~1981
2423413	14540479	8	~1982
2423459	179335967	9	~1985
2423753	14542519	8	~1982
2423789	72713671	8	~1984
2423807	19390457	8	~1982
2423821	38781137	8	~1983
2423891	135737897	9	~1984
2423999	19391993	8	~1982

Exp.	Prime Factor	Digits	Year
2424017	135744953	9	~1984
2424083	4848167	7	~1981
2424089	77570849	8	~1984
2424137	19393097	8	~1982
2424259	24242591	8	~1983
2424263	4848527	7	~1981
2424377	72731311	8	~1984
2424391	24243911	8	~1983
2424439	116373073	9	~1984
2424511	160017727	9	~1985
2424743	4849487	7	~1981
2424743	58193833	8
2424791	63044567	8	~1984
2424853	53346767	8	~1983
2424853	72745591	8
2424997	38799953	8	~1983
2424997	189149767	9
2425021	14550127	8	~1982
2425231	24252311	8	~1983
2425253	14551519	8	~1982
2425253	58206073	8
2425259	4850519	7	~1981
2425261	14551567	8	~1982
2425261	38804177	8
2425301	14551807	8	~1982

5.680.769 digits

26-07-05