Small Mersenne Prime Factors (page 905/5460)

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
7795811	15591623	8	~1985
7796003	15592007	8	~1985
7796071	77960711	8	~1987
7796111	140329999	9	~1987
7796449	311857961	9	~1988
7796611	77966111	8	~1987
7796699	15593399	8	~1985
7797071	15594143	8	~1985
7797241	46783447	8	~1986
7797311	62378489	8	~1986
7797401	46784407	8	~1986
7797487	265114559	9	~1988
7797593	46785559	8	~1986
7797701	62381609	8	~1986
7797743	15595487	8	~1985
7797877	46787263	8	~1986
7797983	15595967	8	~1985
7798333	795429967	9	~1989
7798397	46790383	8	~1986
7798463	15596927	8	~1985
7798621	46791727	8	~1986
7798717	46792303	8	~1986
7798793	748684129	9	~1989
7798811	15597623	8	~1985
7798859	62390873	8	~1986

Exp.	Prime Factor	Digits	Year
7798963	77989631	8	~1987
7799111	15598223	8	~1985
7799201	46795207	8	~1986
7799201	62393609	8
7799339	15598679	8	~1985
7799459	62395673	8	~1986
7799513	249584417	9	~1988
7799723	15599447	8	~1985
7799797	46798783	8	~1986
7799843	15599687	8	~1985
7800119	15600239	8	~1985
7800137	46800823	8	~1986
7800791	62406329	8	~1986
7800959	15601919	8	~1985
7800973	46805839	8	~1986
7801337	46808023	8	~1986
7801373	46808239	8	~1986
7801823	15603647	8	~1985
7801919	15603839	8	~1985
7802117	109229639	9	~1987
7802213	109230983	9	~1987
7802339	15604679	8	~1985
7802413	46814479	8	~1986
7802551	124840817	9	~1987
7802791	140450239	9	~1987

Exp.	Prime Factor	Digits	Year
7802849	109239887	9	~1987
7803193	46819159	8	~1986
7803613	46821679	8	~1986
7803749	62429993	8	~1986
7803839	15607679	8	~1985
7803973	46823839	8	~1986
7804271	15608543	8	~1985
7804501	46827007	8	~1986
7805081	62440649	8	~1986
7805107	702459631	9	~1989
7805177	1795190711	10	~1990
7805201	46831207	8	~1986
7805297	46831783	8	~1986
7805939	62447513	8	~1986
7805957	46835743	8	~1986
7805957	62447657	8
7806013	46836079	8	~1986
7806311	62450489	8	~1986
7806433	46838599	8	~1986
7806479	15612959	8	~1985
7806797	62454377	8	~1986
7806863	15613727	8	~1985
7806983	15613967	8	~1985
7807361	62458889	8	~1986
7807531	78075311	8	~1987

Exp.	Prime Factor	Digits	Year
7807601	46845607	8	~1986
7807637	62461097	8	~1986
7808441	46850647	8	~1986
7808483	15616967	8	~1985
7808503	78085031	8	~1987
7808519	15617039	8	~1985
7808579	577834847	9	~1989
7808617	46851703	8	~1986
7808617	124937873	9
7808657	62469257	8	~1986
7808699	62469593	8	~1986
7808699	327965359	9
7808711	15617423	8	~1985
7808839	78088391	8	~1987
7808897	46853383	8	~1986
7809083	15618167	8	~1985
7809491	15618983	8	~1985
7809533	46857199	8	~1986
7809601	46857607	8	~1986
7809757	46858543	8	~1986
7809793	46858759	8	~1986
7809821	62478569	8	~1986
7809911	15619823	8	~1985
7810057	46860343	8	~1986
7810333	187447993	9	~1987

5.157.210 digits

25-11-02