Small Mersenne Prime Factors (page 766/5130)

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
6070979	12141959	8	~1984
6071531	12143063	8	~1984
6071651	12143303	8	~1984
6071917	36431503	8	~1985
6072041	36432247	8	~1985
6072301	291470449	9	~1987
6072431	12144863	8	~1984
6072707	48581657	8	~1985
6072721	97163537	8	~1986
6072841	36437047	8	~1985
6073021	133606463	9	~1987
6073147	60731471	8	~1986
6073237	36439423	8	~1985
6073321	36439927	8	~1985
6073451	12146903	8	~1984
6073493	36440959	8	~1985
6073619	109325143	9	~1986
6073871	12147743	8	~1984
6073967	145775209	9	~1987
6074011	60740111	8	~1986
6074063	12148127	8	~1984
6074279	48594233	8	~1985
6074381	36446287	8	~1985
6074483	12148967	8	~1984
6074513	911176951	9	~1989

Exp.	Prime Factor	Digits	Year
6074591	12149183	8	~1984
6075071	12150143	8	~1984
6075119	12150239	8	~1984
6075119	48600953	8
6075131	12150263	8	~1984
6075263	145806313	9	~1987
6075281	36451687	8	~1985
6075317	36451903	8	~1985
6075331	109355959	9	~1986
6075397	10631944751	11	~1991
6075521	48604169	8	~1985
6075569	48604553	8	~1985
6075847	583281313	9	~1988
6076069	145825657	9	~1987
6076153	36456919	8	~1985
6076223	12152447	8	~1984
6076331	12152663	8	~1984
6076571	12153143	8	~1984
6076607	145838569	9	~1987
6076619	48612953	8	~1985
6076933	36461599	8	~1985
6076943	12153887	8	~1984
6076981	97231697	8	~1986
6077039	48616313	8	~1985
6077063	12154127	8	~1984

Exp.	Prime Factor	Digits	Year
6077567	291723217	9	~1987
6077579	12155159	8	~1984
6077611	255259663	9	~1987
6077639	12155279	8	~1984
6077693	36466159	8	~1985
6077723	12155447	8	~1984
6077759	12155519	8	~1984
6077909	48623273	8	~1985
6078547	534912137	9	~1988
6078581	48628649	8	~1985
6078599	12157199	8	~1984
6078641	36471847	8	~1985
6078659	12157319	8	~1984
6078733	243149321	9	~1987
6078797	36472783	8	~1985
6078881	36473287	8	~1985
6078899	12157799	8	~1984
6079043	12158087	8	~1984
6079141	36474847	8	~1985
6079237	36475423	8	~1985
6079481	36476887	8	~1985
6079499	12158999	8	~1984
6079553	36477319	8	~1985
6079651	60796511	8	~1986
6079663	97274609	8	~1986

Exp.	Prime Factor	Digits	Year
6079823	12159647	8	~1984
6080021	36480127	8	~1985
6080051	12160103	8	~1984
6080153	36480919	8	~1985
6080521	243220841	9	~1987
6080561	36483367	8	~1985
6080561	48644489	8
6080623	60806231	8	~1986
6080831	12161663	8	~1984
6080933	85133063	8	~1986
6080939	12161879	8	~1984
6081199	60811991	8	~1986
6081203	12162407	8	~1984
6081371	12162743	8	~1984
6081473	85140623	8	~1986
6081617	36489703	8	~1985
6082003	60820031	8	~1986
6082057	36492343	8	~1985
6082079	48656633	8	~1985
6082177	717696887	9	~1988
6082211	12164423	8	~1984
6082259	12164519	8	~1984
6082283	12164567	8	~1984
6082561	36495367	8	~1985
6082631	340627337	9	~1988

4.828.532 digits

25-06-01