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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 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
310099162019837 ~1982
31009911550495519
310105162021037 ~1982
310118362023677 ~1982
3101207248096578 ~1983
310129162025837 ~1982
31013111240524419 ~1985
31014795520632639 ~1986
3101591248127298 ~1983
3101653496264498 ~1984
31016531240661219
3101743496278898 ~1984
310177162035437 ~1982
3101827744438498 ~1984
310183162036637 ~1982
3101897248151778 ~1983
310195162039037 ~1982
3101957744469698 ~1984
3102017186121038 ~1983
310205962041197 ~1982
3102181186130878 ~1983
3102269248181538 ~1983
3102353186141198 ~1983
3102431248194498 ~1983
3102481186148878 ~1983
Exp. Prime Factor Digits Year
310250362050077 ~1982
3102877496460338 ~1984
3102929434410078 ~1984
3103021496483378 ~1984
3103033186181998 ~1983
310321162064237 ~1982
3103241248259298 ~1983
3103381496540978 ~1984
3103553186213198 ~1983
3103579310357918 ~1983
3103579558644238
31035893227732579 ~1986
3103679248294338 ~1983
31036877014332639 ~1987
3103757186225438 ~1983
310379962075997 ~1982
3103801496608178 ~1984
3103817248305378 ~1983
3103829248306338 ~1983
3103861186231678 ~1983
310406362081277 ~1982
310409962081997 ~1982
3104533186271998 ~1983
3104767310476718 ~1983
3104833683063278 ~1984
Exp. Prime Factor Digits Year
310490362098077 ~1982
3105041186302478 ~1983
3105107248408578 ~1983
3105269745264578 ~1984
310541962108397 ~1982
3105433496869298 ~1984
310549162109837 ~1982
3105527248442178 ~1983
3105703310570318 ~1983
3105841186350478 ~1983
31059791801467839 ~1985
3106003310600318 ~1983
31060031242401219
3106073745457538 ~1984
310607962121597 ~1982
3106199248495938 ~1983
3106273186376398 ~1983
3106307248504578 ~1983
3106319745516578 ~1984
3106381497020978 ~1984
3106381931914318
3106429683414398 ~1984
310664362132877 ~1982
310670362134077 ~1982
310675162135037 ~1982
Exp. Prime Factor Digits Year
3106777497084338 ~1984
31068495716602179 ~1986
310691962138397 ~1982
3107033186421998 ~1983
3107081248566498 ~1983
3107171248573698 ~1983
3107249248579938 ~1983
31074833728979619 ~1986
3107633186457998 ~1983
310771162154237 ~1982
3107827497252338 ~1984
3107893186473598 ~1983
3108019745924578 ~1984
310802362160477 ~1982
3108067559452078 ~1984
310823962164797 ~1982
3108239559483038
310835962167197 ~1982
3108359248668738
3108373186502398 ~1983
3108461186507678 ~1983
310855162171037 ~1982
3108779248702338 ~1983
3108893186533598 ~1983
3109031248722498 ~1983
506
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25-04-13