Small Mersenne Prime Factors (page 993/5610)

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
8992019	17984039	8	~1985
8992211	71937689	8	~1987
8992259	161860663	9	~1988
8992283	17984567	8	~1985
8992499	17984999	8	~1985
8992499	71939993	8
8992769	71942153	8	~1987
8992811	17985623	8	~1985
8992937	53957623	8	~1986
8993011	89930111	8	~1987
8993267	71946137	8	~1987
8993297	53959783	8	~1986
8993333	53959999	8	~1986
8993447	109666092719	12	~1995
8993471	71947769	8	~1987
8993723	17987447	8	~1985
8993737	53962423	8	~1986
8993861	71950889	8	~1987
8993869	197865119	9	~1988
8993951	17987903	8	~1985
8993981	71951849	8	~1987
8994473	53966839	8	~1986
8994497	71955977	8	~1987
8994593	125924303	9	~1987
8994659	17989319	8	~1985

Exp.	Prime Factor	Digits	Year
8994677	125925479	9	~1987
8994911	17989823	8	~1985
8995109	71960873	8	~1987
8995163	17990327	8	~1985
8995391	17990783	8	~1985
8995583	17991167	8	~1985
8995751	17991503	8	~1985
8995799	17991599	8	~1985
8995801	53974807	8	~1986
8995837	53975023	8	~1986
8995957	143935313	9	~1988
8996327	71970617	8	~1987
8996539	89965391	8	~1987
8996579	17993159	8	~1985
8996639	17993279	8	~1985
8996651	431839249	9	~1989
8996831	17993663	8	~1985
8997011	17994023	8	~1985
8997239	17994479	8	~1985
8997311	17994623	8	~1985
8997503	17995007	8	~1985
8997553	143960849	9	~1988
8997869	125970167	9	~1987
8997871	89978711	8	~1987
8998271	17996543	8	~1985

Exp.	Prime Factor	Digits	Year
8998307	71986457	8	~1987
8998651	161975719	9	~1988
8998883	17997767	8	~1985
8998919	17997839	8	~1985
8999051	17998103	8	~1985
8999183	17998367	8	~1985
8999423	17998847	8	~1985
8999777	71998217	8	~1987
9000203	18000407	8	~1985
9000577	54003463	8	~1986
9000637	54003823	8	~1986
9000683	18001367	8	~1985
9000709	198015599	9	~1988
9000721	144011537	9	~1988
9001163	810104671	9	~1989
9001337	54008023	8	~1986
9001387	576088769	9	~1989
9001511	18003023	8	~1985
9001799	18003599	8	~1985
9001933	54011599	8	~1986
9002249	72017993	8	~1987
9002621	270078631	9	~1988
9002849	72022793	8	~1987
9003583	90035831	8	~1987
9004091	72032729	8	~1987

Exp.	Prime Factor	Digits	Year
9004343	18008687	8	~1985
9004469	72035753	8	~1987
9004561	54027367	8	~1986
9004571	18009143	8	~1985
9004643	18009287	8	~1985
9004739	18009479	8	~1985
9004739	72037913	8
9005039	18010079	8	~1985
9005041	54030247	8	~1986
9005099	18010199	8	~1985
9005201	54031207	8	~1986
9005327	162095887	9	~1988
9005519	18011039	8	~1985
9005741	54034447	8	~1986
9005879	72047033	8	~1987
9006071	18012143	8	~1985
9006359	18012719	8	~1985
9006509	72052073	8	~1987
9006649	216159577	9	~1988
9006677	72053417	8	~1987
9006919	216166057	9	~1988
9006973	54041839	8	~1986
9007151	18014303	8	~1985
9007241	72057929	8	~1987
9007457	54044743	8	~1986

5.307.017 digits

26-01-11