Small Mersenne Prime Factors (page 872/5025)

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
7667771	15335543	8	~1985
7668029	61344233	8	~1986
7668161	61345289	8	~1986
7668203	15336407	8	~1985
7668257	46009543	8	~1986
7668337	46010023	8	~1986
7668757	46012543	8	~1986
7669003	260746103	9	~1988
7669171	76691711	8	~1986
7669213	46015279	8	~1986
7669451	15338903	8	~1985
7669517	61356137	8	~1986
7669667	61357337	8	~1986
7669751	15339503	8	~1985
7669979	15339959	8	~1985
7670171	15340343	8	~1985
7670363	15340727	8	~1985
7670401	46022407	8	~1986
7670501	46023007	8	~1986
7670639	138071503	9	~1987
7670833	46024999	8	~1986
7671143	15342287	8	~1985
7671263	15342527	8	~1985
7671493	46028959	8	~1986
7671523	76715231	8	~1986

Exp.	Prime Factor	Digits	Year
7671731	61373849	8	~1986
7671737	46030423	8	~1986
7671959	15343919	8	~1985
7672163	15344327	8	~1985
7672319	15344639	8	~1985
7672319	61378553	8
7672571	61380569	8	~1986
7672633	46035799	8	~1986
7672663	76726631	8	~1986
7672799	15345599	8	~1985
7672859	15345719	8	~1985
7672943	15345887	8	~1985
7673279	15346559	8	~1985
7673327	61386617	8	~1986
7673531	15347063	8	~1985
7673581	46041487	8	~1986
7673791	76737911	8	~1986
7673903	15347807	8	~1985
7674311	15348623	8	~1985
7674413	46046479	8	~1986
7674521	61396169	8	~1986
7674881	61399049	8	~1986
7674899	15349799	8	~1985
7675273	46051639	8	~1986
7675337	368416177	9	~1988

Exp.	Prime Factor	Digits	Year
7675427	138157687	9	~1987
7675637	46053823	8	~1986
7675741	46054447	8	~1986
7675793	107461103	9	~1987
7675931	15351863	8	~1985
7675961	230278831	9	~1988
7676243	15352487	8	~1985
7676447	368469457	9	~1988
7676699	15353399	8	~1985
7677011	15354023	8	~1985
7677073	46062439	8	~1986
7677179	15354359	8	~1985
7677203	15354407	8	~1985
7677359	15354719	8	~1985
7677413	46064479	8	~1986
7677511	921301321	9	~1989
7677533	46065199	8	~1986
7677589	414589807	9	~1988
7677661	46065967	8	~1986
7677679	368528593	9	~1988
7677893	184269433	9	~1987
7677973	46067839	8	~1986
7678031	15356063	8	~1985
7678091	15356183	8	~1985
7678217	184277209	9	~1987

Exp.	Prime Factor	Digits	Year
7678571	15357143	8	~1985
7678709	61429673	8	~1986
7678787	61430297	8	~1986
7678999	76789991	8	~1986
7679099	15358199	8	~1985
7679123	15358247	8	~1985
7679579	15359159	8	~1985
7679873	46079239	8	~1986
7679879	15359759	8	~1985
7679981	61439849	8	~1986
7680017	46080103	8	~1986
7680017	599041327	9
7680131	15360263	8	~1985
7680131	61441049	8
7680173	46081039	8	~1986
7680293	46081759	8	~1986
7680383	15360767	8	~1985
7680671	61445369	8	~1986
7680791	15361583	8	~1985
7680973	46085839	8	~1986
7681489	184355737	9	~1987
7681511	199719287	9	~1987
7681519	76815191	8	~1986
7681577	61452617	8	~1986
7681631	15363263	8	~1985

4.724.182 digits

25-04-13