Small Mersenne Prime Factors (page 452/5130)

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
2570671	25706711	8	~1983
2570677	15424063	8	~1982
2570699	123393553	9	~1984
2570831	5141663	7	~1981
2570849	35991887	8	~1983
2570849	185101129	9
2570921	20567369	8	~1983
2571001	118266047	9	~1984
2571031	41136497	8	~1983
2571059	5142119	7	~1981
2571119	61706857	8	~1984
2571421	15428527	8	~1982
2571671	5143343	7	~1981
2571733	15430399	8	~1982
2571871	25718711	8	~1983
2572001	15432007	8	~1982
2572079	82306529	8	~1984
2572153	15432919	8	~1982
2572231	25722311	8	~1983
2572307	20578457	8	~1983
2572379	5144759	7	~1981
2572397	20579177	8	~1983
2572421	77172631	8	~1984
2572433	82317857	8	~1984
2572693	15436159	8	~1982

Exp.	Prime Factor	Digits	Year
2572693	56599247	8
2572859	5145719	7	~1981
2572937	200689087	9	~1985
2572993	15437959	8	~1982
2573023	272740439	9	~1985
2573059	46315063	8	~1983
2573099	5146199	7	~1981
2573237	15439423	8	~1982
2573261	20586089	8	~1983
2573261	77197831	8
2573359	61760617	8	~1984
2573423	5146847	7	~1981
2573471	5146943	7	~1981
2573509	56617199	8	~1984
2573633	15441799	8	~1982
2573803	41180849	8	~1983
2573957	61774969	8	~1984
2574059	5148119	7	~1981
2574179	5148359	7	~1981
2574233	15445399	8	~1982
2574251	5148503	7	~1981
2574289	56634359	8	~1984
2574311	5148623	7	~1981
2574391	41190257	8	~1983
2574487	25744871	8	~1983

Exp.	Prime Factor	Digits	Year
2574617	556117273	9	~1986
2574799	25747991	8	~1983
2574839	5149679	7	~1981
2574853	41197649	8	~1983
2574889	56647559	8	~1984
2574947	144197033	9	~1985
2575093	61802233	8	~1984
2575187	46353367	8	~1983
2575193	15451159	8	~1982
2575231	149363399	9	~1985
2575283	5150567	7	~1981
2575439	61810537	8	~1984
2575673	15454039	8	~1982
2575679	5151359	7	~1981
2575799	5151599	7	~1981
2575933	15455599	8	~1982
2576113	56674487	8	~1984
2576159	5152319	7	~1981
2576159	20609273	8
2576261	15457567	8	~1982
2576293	15457759	8	~1982
2576407	46375327	8	~1983
2576423	61834153	8	~1984
2576477	20611817	8	~1983
2576557	15459343	8	~1982

Exp.	Prime Factor	Digits	Year
2576641	695693071	9	~1986
2576663	5153327	7	~1981
2576771	5153543	7	~1981
2576831	5153663	7	~1981
2577041	15462247	8	~1982
2577083	5154167	7	~1981
2577083	67004159	8
2577167	61852009	8	~1984
2577203	61852873	8	~1984
2577347	67011023	8	~1984
2577413	15464479	8	~1982
2577427	41238833	8	~1983
2577599	20620793	8	~1983
2577667	25776671	8	~1983
2577667	226834697	9
2578117	15468703	8	~1982
2578253	77347591	8	~1984
2578391	5156783	7	~1981
2578469	20627753	8	~1983
2578529	20628233	8	~1983
2578621	15471727	8	~1982
2578643	5157287	7	~1981
2578733	82519457	8	~1984
2578799	5157599	7	~1981
2578801	56733623	8	~1984

4.828.532 digits

25-06-01