Small Mersenne Prime Factors (page 882/5340)

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
7550579	15101159	8	~1985
7550579	60404633	8
7550591	15101183	8	~1985
7550801	45304807	8	~1986
7551133	45306799	8	~1986
7551209	60409673	8	~1986
7551217	45307303	8	~1986
7551263	317153047	9	~1988
7551541	45309247	8	~1986
7551671	15103343	8	~1985
7551877	45311263	8	~1986
7551989	60415913	8	~1986
7552043	15104087	8	~1985
7552067	60416537	8	~1986
7552351	120837617	9	~1987
7552463	15104927	8	~1985
7552511	15105023	8	~1985
7552577	60420617	8	~1986
7552691	15105383	8	~1985
7552793	45316759	8	~1986
7552849	166162679	9	~1987
7553603	15107207	8	~1985
7553921	45323527	8	~1986
7554083	15108167	8	~1985
7554251	15108503	8	~1985

Exp.	Prime Factor	Digits	Year
7554353	45326119	8	~1986
7555043	15110087	8	~1985
7555319	15110639	8	~1985
7555529	543998089	9	~1989
7555679	60445433	8	~1986
7555741	45334447	8	~1986
7555883	498688279	9	~1988
7556093	45336559	8	~1986
7556099	15112199	8	~1985
7556201	544046473	9	~1989
7556239	75562391	8	~1986
7556579	15113159	8	~1985
7556663	15113327	8	~1985
7556999	15113999	8	~1985
7557437	105804119	9	~1987
7557463	256953743	9	~1988
7557499	75574991	8	~1986
7557703	75577031	8	~1986
7557743	15115487	8	~1985
7557833	45346999	8	~1986
7557989	60463913	8	~1986
7558121	45348727	8	~1986
7558193	45349159	8	~1986
7558303	256982303	9	~1988
7558643	15117287	8	~1985

Exp.	Prime Factor	Digits	Year
7558757	45352543	8	~1986
7558843	257000663	9	~1988
7559117	45354703	8	~1986
7559243	15118487	8	~1985
7559267	136066807	9	~1987
7559287	120948593	9	~1987
7559317	45355903	8	~1986
7559411	15118823	8	~1985
7559627	60477017	8	~1986
7559759	15119519	8	~1985
7559819	15119639	8	~1985
7560517	45363103	8	~1986
7560571	75605711	8	~1986
7560779	15121559	8	~1985
7561331	15122663	8	~1985
7561471	120983537	9	~1987
7561573	45369439	8	~1986
7561699	75616991	8	~1986
7561709	60493673	8	~1986
7561751	725928097	9	~1989
7561811	15123623	8	~1985
7562077	45372463	8	~1986
7562341	45374047	8	~1986
7562407	75624071	8	~1986
7562519	15125039	8	~1985

Exp.	Prime Factor	Digits	Year
7562693	45376159	8	~1986
7562771	15125543	8	~1985
7563001	166386023	9	~1987
7563071	15126143	8	~1985
7563191	15126383	8	~1985
7563431	15126863	8	~1985
7563443	15126887	8	~1985
7563581	45381487	8	~1986
7563779	15127559	8	~1985
7563901	45383407	8	~1986
7564091	60512729	8	~1986
7564211	15128423	8	~1985
7564301	45385807	8	~1986
7564499	15128999	8	~1985
7564673	544656457	9	~1989
7564871	15129743	8	~1985
7564913	45389479	8	~1986
7565093	45390559	8	~1986
7565191	121043057	9	~1987
7565303	15130607	8	~1985
7565423	15130847	8	~1985
7565483	15130967	8	~1985
7565531	15131063	8	~1985
7566059	15132119	8	~1985
7566061	45396367	8	~1986

5.037.460 digits

25-09-07