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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
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
3106777497084338 ~1984
31068495716602179 ~1987
310691962138397 ~1982
Exp. Prime Factor Digits Year
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
3108737932621118 ~1985
3108779248702338 ~1983
3108893186533598 ~1983
3109031248722498 ~1983
3109069932720718 ~1985
3109091808363678 ~1984
Exp. Prime Factor Digits Year
3109159310915918 ~1983
3109193186551598 ~1983
31093071492467379 ~1985
3109333186559998 ~1983
3109333684053278
310934362186877 ~1982
3109349435308878 ~1984
3109397186563838 ~1983
3109411310941118 ~1983
3109441186566478 ~1983
3109619248769538 ~1983
310975162195037 ~1982
3109817186589038 ~1983
3109837186590238 ~1983
3109921186595278 ~1983
311023162204637 ~1982
3110299311029918 ~1983
3110321248825698 ~1983
3110377186622638 ~1983
3110621186637278 ~1983
3110689933206718 ~1985
31107411928659439 ~1985
311077162215437 ~1982
311096362219277 ~1982
311113162222637 ~1982
Exp. Prime Factor Digits Year
3111397186683838 ~1983
31114312489144819 ~1986
3111481497836978 ~1984
311165962233197 ~1982
311186362237277 ~1982
3112271248981698 ~1983
3112399560231838 ~1984
3112471311247118 ~1983
3112687311268718 ~1983
3112687747044898
3112721249017698 ~1983
311285962257197 ~1982
311291962258397 ~1982
3112933684845278 ~1984
3112973186778398 ~1983
3112973435816238
3113101186786078 ~1983
3113111528606247910 ~1989
311339962267997 ~1982
3113447249075778 ~1983
3113471560424798 ~1984
31137071992772499 ~1985
311378362275677 ~1982
3113821498211378 ~1984
3113833498213298 ~1984
523
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26-01-11