Small Mersenne Prime Factors (page 968/5130)

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
9115297	54691783	8	~1986
9116039	18232079	8	~1985
9116099	18232199	8	~1985
9116111	18232223	8	~1985
9116423	18232847	8	~1985
9116461	54698767	8	~1986
9116531	18233063	8	~1985
9116819	820513711	9	~1989
9116923	91169231	8	~1987
9116951	18233903	8	~1985
9116957	72935657	8	~1987
9117011	18234023	8	~1985
9117029	72936233	8	~1987
9117041	54702247	8	~1986
9117191	18234383	8	~1985
9117401	54704407	8	~1986
9117463	91174631	8	~1987
9117517	54705103	8	~1986
9117599	18235199	8	~1985
9117599	1549991831	10
9117851	18235703	8	~1985
9117851	72942809	8
9117863	18235727	8	~1985
9117917	54707503	8	~1986
9118163	18236327	8	~1985

Exp.	Prime Factor	Digits	Year
9118493	54710959	8	~1986
9118559	18237119	8	~1985
9118691	18237383	8	~1985
9118979	18237959	8	~1985
9119153	127668143	9	~1987
9119203	145907249	9	~1988
9119219	18238439	8	~1985
9119417	54716503	8	~1986
9119699	18239399	8	~1985
9119783	18239567	8	~1985
9119941	54719647	8	~1986
9120011	18240023	8	~1985
9120073	54720439	8	~1986
9120101	54720607	8	~1986
9120119	18240239	8	~1985
9120203	18240407	8	~1985
9120263	18240527	8	~1985
9120487	218891689	9	~1988
9120563	18241127	8	~1985
9120803	18241607	8	~1985
9121043	18242087	8	~1985
9121523	18243047	8	~1985
9122021	54732127	8	~1986
9122077	54732463	8	~1986
9122083	145953329	9	~1988

Exp.	Prime Factor	Digits	Year
9122161	54732967	8	~1986
9122279	18244559	8	~1985
9122389	218937337	9	~1988
9123031	91230311	8	~1987
9123469	437926513	9	~1989
9123659	18247319	8	~1985
9123721	63482850719	11	~1994
9124001	54744007	8	~1987
9124331	18248663	8	~1985
9124463	18248927	8	~1985
9125113	54750679	8	~1987
9125279	18250559	8	~1985
9125323	91253231	8	~1987
9125351	18250703	8	~1985
9125497	54752983	8	~1987
9125581	54753487	8	~1987
9125639	18251279	8	~1985
9125771	18251543	8	~1985
9126011	18252023	8	~1985
9126287	73010297	8	~1987
9126361	54758167	8	~1987
9126511	438072529	9	~1989
9126571	91265711	8	~1987
9126659	73013273	8	~1987
9126787	91267871	8	~1987

Exp.	Prime Factor	Digits	Year
9127043	18254087	8	~1985
9127091	18254183	8	~1985
9127091	73016729	8
9127213	219053113	9	~1988
9127291	91272911	8	~1987
9127463	18254927	8	~1985
9127523	18255047	8	~1985
9127537	54765223	8	~1987
9127627	91276271	8	~1987
9127633	146042129	9	~1988
9127637	219063289	9	~1988
9127787	73022297	8	~1987
9127817	54766903	8	~1987
9127957	273838711	9	~1988
9128087	876296353	9	~1989
9128377	54770263	8	~1987
9128501	54771007	8	~1987
9128579	18257159	8	~1985
9128579	73028633	8
9128653	54771919	8	~1987
9128681	54772087	8	~1987
9128681	73029449	8
9128737	54772423	8	~1987
9128831	73030649	8	~1987
9129013	54774079	8	~1987

4.828.532 digits

25-06-01