Small Mersenne Prime Factors (page 295/5775)

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
1277477	17884679	8
1277593	38327791	8	~1982
1277651	2555303	7	~1979
1277743	12777431	8	~1980
1277819	2555639	7	~1979
1278131	163600769	9	~1983
1278181	7669087	7	~1980
1278181	28119983	8
1278209	10225673	8	~1980
1278209	40902689	8
1278371	10226969	8	~1980
1278371	63918551	8
1278419	2556839	7	~1979
1278463	81821633	8	~1982
1278479	23012623	8	~1981
1278479	53696119	8
1278721	130429543	9	~1983
1278817	99747727	8	~1983
1278839	61384273	8	~1982
1278857	7673143	7	~1980
1278881	10231049	8	~1980
1278911	2557823	7	~1979
1278983	2557967	7	~1979
1278983	33253559	8
1279171	20466737	8	~1981

Exp.	Prime Factor	Digits	Year
1279177	61400497	8	~1982
1279193	40934177	8	~1982
1279319	2558639	7	~1979
1279357	38380711	8	~1982
1279417	38382511	8	~1982
1279427	23029687	8	~1981
1279511	40944353	8	~1982
1279627	12796271	8	~1980
1279643	2559287	7	~1979
1279661	10237289	8	~1980
1279727	10237817	8	~1980
1279787	10238297	8	~1980
1279919	2559839	7	~1979
1279931	2559863	7	~1979
1280101	28162223	8	~1981
1280141	7680847	7	~1980
1280183	2560367	7	~1979
1280221	28164863	8	~1981
1280267	10242137	8	~1980
1280281	130588663	9	~1983
1280291	2560583	7	~1979
1280297	110105543	9	~1983
1280317	61455217	8	~1982
1280473	69145543	8	~1982
1280561	7683367	7	~1980

Exp.	Prime Factor	Digits	Year
1280597	7683583	7	~1980
1280737	7684423	7	~1980
1280857	58919423	8	~1982
1281083	2562167	7	~1979
1281187	74308847	8	~1982
1281193	30748633	8	~1981
1281439	51257561	8	~1982
1281503	2563007	7	~1979
1281653	69209263	8	~1982
1281667	82026689	8	~1982
1281871	143569553	9	~1983
1281941	10255529	8	~1980
1281971	2563943	7	~1979
1282031	153843721	9	~1983
1282069	30769657	8	~1981
1282133	7692799	7	~1980
1282163	2564327	7	~1979
1282261	51290441	8	~1982
1282279	30774697	8	~1981
1282381	7694287	7	~1980
1282469	38474071	8	~1982
1282471	53863783	8	~1982
1282499	2564999	7	~1979
1282511	2565023	7	~1979
1282517	17955239	8	~1981

Exp.	Prime Factor	Digits	Year
1282817	10262537	8	~1980
1282907	64145351	8	~1982
1282969	61582513	8	~1982
1283011	51320441	8	~1982
1283027	10264217	8	~1980
1283027	30792649	8
1283063	2566127	7	~1979
1283099	2566199	7	~1979
1283099	23095783	8
1283339	2566679	7	~1979
1283389	69303007	8	~1982
1283441	10267529	8	~1980
1283441	141178511	9
1283521	28237463	8	~1981
1283537	7701223	7	~1980
1283537	69310999	8
1283549	10268393	8	~1980
1283563	20537009	8	~1981
1283731	84726247	8	~1982
1283759	2567519	7	~1979
1283879	2567759	7	~1979
1283939	2567879	7	~1979
1284007	74472407	8	~1982
1284131	2568263	7	~1979
1284293	41097377	8	~1982

5.471.290 digits

26-03-29