Small Mersenne Prime Factors (page 916/5790)

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
7689719	15379439	8	~1985
7689827	184555849	9	~1987
7690013	46140079	8	~1986
7690021	307600841	9	~1988
7690091	61520729	8	~1986
7690181	46141087	8	~1986
7690439	15380879	8	~1985
7690541	61524329	8	~1986
7690583	15381167	8	~1985
7690589	107668247	9	~1987
7690603	76906031	8	~1986
7690643	15381287	8	~1985
7690703	15381407	8	~1985
7690961	46145767	8	~1986
7691017	46146103	8	~1986
7691617	46149703	8	~1986
7691951	15383903	8	~1985
7691951	61535609	8
7692019	76920191	8	~1986
7692053	46152319	8	~1986
7692287	61538297	8	~1986
7692617	61540937	8	~1986
7692623	15385247	8	~1985
7692731	15385463	8	~1985
7692977	61543817	8	~1986

Exp.	Prime Factor	Digits	Year
7693243	76932431	8	~1987
7693331	15386663	8	~1985
7693351	76933511	8	~1987
7693403	15386807	8	~1985
7693597	123097553	9	~1987
7693667	61549337	8	~1986
7693739	61549913	8	~1986
7693963	76939631	8	~1987
7694003	15388007	8	~1985
7694237	61553897	8	~1986
7694539	76945391	8	~1987
7694651	15389303	8	~1985
7694663	15389327	8	~1985
7694917	46169503	8	~1986
7695629	61565033	8	~1986
7695859	76958591	8	~1987
7695871	138525679	9	~1987
7696079	15392159	8	~1985
7696127	61569017	8	~1986
7696411	138535399	9	~1987
7696511	61572089	8	~1986
7696679	15393359	8	~1985
7696951	76969511	8	~1987
7697219	15394439	8	~1985
7697303	15394607	8	~1985

Exp.	Prime Factor	Digits	Year
7697351	15394703	8	~1985
7697639	15395279	8	~1985
7697741	46186447	8	~1986
7697771	15395543	8	~1985
7697843	15395687	8	~1985
7698043	184753033	9	~1987
7698113	46188679	8	~1986
7698193	123171089	9	~1987
7698539	15397079	8	~1985
7698737	46192423	8	~1986
7699073	46194439	8	~1986
7699259	61594073	8	~1986
7699403	15398807	8	~1985
7699561	169390343	9	~1987
7699633	46197799	8	~1986
7699723	76997231	8	~1987
7699739	15399479	8	~1985
7699781	61598249	8	~1986
7699823	15399647	8	~1985
7699961	46199767	8	~1986
7700117	46200703	8	~1986
7700351	15400703	8	~1985
7700467	77004671	8	~1987
7700639	15401279	8	~1985
7700717	61605737	8	~1986

Exp.	Prime Factor	Digits	Year
7700753	46204519	8	~1986
7700831	15401663	8	~1985
7701131	15402263	8	~1985
7701523	77015231	8	~1987
7701623	15403247	8	~1985
7701721	677751449	9	~1989
7701817	46210903	8	~1986
7701847	123229553	9	~1987
7701977	46211863	8	~1986
7702199	15404399	8	~1985
7702243	77022431	8	~1987
7702271	61618169	8	~1986
7702379	15404759	8	~1985
7702433	46214599	8	~1986
7702451	15404903	8	~1985
7702451	61619609	8
7702511	15405023	8	~1985
7702763	15405527	8	~1985
7702811	15405623	8	~1985
7703239	77032391	8	~1987
7703309	61626473	8	~1986
7703609	61628873	8	~1986
7703621	61628969	8	~1986
7703671	77036711	8	~1987
7703963	15407927	8	~1985

5.486.313 digits

26-04-05