Small Mersenne Prime Factors (page 1010/5670)

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
9194279	73554233	8	~1987
9194377	55166263	8	~1987
9194483	18388967	8	~1985
9194527	533282567	9	~1989
9194767	91947671	8	~1987
9194903	18389807	8	~1985
9195083	18390167	8	~1985
9195143	18390287	8	~1985
9195383	18390767	8	~1985
9195539	73564313	8	~1987
9195757	55174543	8	~1987
9195911	18391823	8	~1985
9196081	55176487	8	~1987
9196223	18392447	8	~1985
9196241	73569929	8	~1987
9196633	55179799	8	~1987
9196661	73573289	8	~1987
9196679	18393359	8	~1985
9196783	91967831	8	~1987
9196919	18393839	8	~1985
9196939	91969391	8	~1987
9197261	55183567	8	~1987
9197351	18394703	8	~1985
9197351	73578809	8
9197533	55185199	8	~1987

Exp.	Prime Factor	Digits	Year
9197537	55185223	8	~1987
9197543	18395087	8	~1985
9197579	18395159	8	~1985
9197651	18395303	8	~1985
9197819	18395639	8	~1985
9197921	55187527	8	~1987
9197921	73583369	8
9197983	91979831	8	~1987
9198383	18396767	8	~1985
9198407	73587257	8	~1987
9198443	2814723559	10	~1991
9198503	18397007	8	~1985
9198743	18397487	8	~1985
9198779	18397559	8	~1985
9198851	18397703	8	~1985
9199013	55194079	8	~1987
9199117	55194703	8	~1987
9199121	73592969	8	~1987
9199187	73593497	8	~1987
9199247	73593977	8	~1987
9199259	18398519	8	~1985
9199417	55196503	8	~1987
9199523	18399047	8	~1985
9199919	386396599	9	~1989
9199997	55199983	8	~1987

Exp.	Prime Factor	Digits	Year
9200053	55200319	8	~1987
9200119	92001191	8	~1987
9200137	55200823	8	~1987
9200651	18401303	8	~1985
9200963	18401927	8	~1985
9200977	55205863	8	~1987
9201089	73608713	8	~1987
9201427	147222833	9	~1988
9201623	18403247	8	~1985
9201779	18403559	8	~1985
9201971	18403943	8	~1985
9202073	220849753	9	~1988
9202447	165644047	9	~1988
9202493	55214959	8	~1987
9202601	73620809	8	~1987
9202679	73621433	8	~1987
9202709	73621673	8	~1987
9202871	18405743	8	~1985
9203303	18406607	8	~1985
9203459	18406919	8	~1985
9203471	18406943	8	~1985
9203891	18407783	8	~1985
9204491	18408983	8	~1985
9204593	55227559	8	~1987
9204703	92047031	8	~1987

Exp.	Prime Factor	Digits	Year
9204913	55229479	8	~1987
9204983	18409967	8	~1985
9205013	55230079	8	~1987
9205019	18410039	8	~1985
9205271	18410543	8	~1985
9205271	73642169	8
9205277	55231663	8	~1987
9205321	55231927	8	~1987
9205379	18410759	8	~1985
9205523	18411047	8	~1985
9205649	128879087	9	~1987
9205739	18411479	8	~1985
9205769	128880767	9	~1987
9205961	55235767	8	~1987
9206053	55236319	8	~1987
9206159	18412319	8	~1985
9206261	73650089	8	~1987
9206291	165713239	9	~1988
9206447	460322351	9	~1989
9206713	55240279	8	~1987
9207853	55247119	8	~1987
9207959	18415919	8	~1985
9208037	55248223	8	~1987
9208571	18417143	8	~1985
9208583	18417167	8	~1985

5.366.787 digits

26-02-08