Small Mersenne Prime Factors (page 307/5190)

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
1407011	25326199	8	~1981
1407019	67536913	8	~1982
1407193	98503511	8	~1983
1407247	574156777	9	~1985
1407499	47854967	8	~1982
1407503	45040097	8	~1982
1407533	45041057	8	~1982
1407551	2815103	7	~1979
1407557	236469577	9	~1984
1407559	225209441	9	~1984
1407587	25336567	8	~1981
1407613	30967487	8	~1982
1407661	8445967	7	~1980
1407671	2815343	7	~1979
1408067	25345207	8	~1981
1408079	70403951	8	~1982
1408177	42245311	8	~1982
1408181	290085287	9	~1984
1408217	518223857	9	~1985
1408301	8449807	7	~1980
1408411	25351399	8	~1981
1408567	14085671	8	~1981
1408619	2817239	7	~1979
1408661	11269289	8	~1980
1408741	200041223	9	~1984

Exp.	Prime Factor	Digits	Year
1408741	312740503	9
1408787	11270297	8	~1980
1408871	2817743	7	~1979
1408987	25361767	8	~1981
1408993	22543889	8	~1981
1409027	349438697	9	~1984
1409207	25365727	8	~1981
1409251	14092511	8	~1981
1409519	2819039	7	~1979
1409531	70476551	8	~1982
1409651	2819303	7	~1979
1409753	8458519	7	~1980
1409789	11278313	8	~1980
1409833	22557329	8	~1981
1409879	11279033	8	~1980
1409917	22558673	8	~1981
1409957	11279657	8	~1980
1410179	2820359	7	~1979
1410197	8461183	7	~1980
1410203	2820407	7	~1979
1410239	2820479	7	~1979
1410421	8462527	7	~1980
1410653	8463919	7	~1980
1410679	14106791	8	~1981
1410683	70534151	8	~1982

Exp.	Prime Factor	Digits	Year
1410697	33856729	8	~1982
1410803	2821607	7	~1979
1410973	8465839	7	~1980
1411037	8466223	7	~1980
1411271	2822543	7	~1979
1411313	45162017	8	~1982
1411387	22582193	8	~1981
1411387	33873289	8
1411411	22582577	8	~1981
1411433	121383239	9	~1983
1411559	25408063	8	~1981
1411559	45169889	8
1411583	2823167	7	~1979
1411607	25408927	8	~1981
1411679	138344543	9	~1983
1411703	2823407	7	~1979
1411873	101654857	9	~1983
1411903	14119031	8	~1981
1411931	703141639	9	~1985
1411961	8471767	7	~1980
1411979	11295833	8	~1980
1412011	22592177	8	~1981
1412093	8472559	7	~1980
1412093	889618591	9
1412189	110150743	9	~1983

Exp.	Prime Factor	Digits	Year
1412219	2824439	7	~1979
1412219	25419943	8
1412231	2824463	7	~1979
1412287	22596593	8	~1981
1412317	8473903	7	~1980
1412347	14123471	8	~1981
1412393	8474359	7	~1980
1412483	2824967	7	~1979
1412693	42380791	8	~1982
1412711	2825423	7	~1979
1412779	48034487	8	~1982
1412981	67823089	8	~1982
1413007	1042799167	10	~1985
1413031	624559703	9	~1985
1413179	11305433	8	~1980
1413179	59353519	8
1413211	56528441	8	~1982
1413211	421136879	9
1413233	33917593	8	~1982
1413443	169613161	9	~1983
1413481	42404431	8	~1982
1413481	65020127	8
1413481	294004049	9
1413541	8481247	7	~1980
1413541	31097903	8

4.888.230 digits

25-06-29