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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
310975162195037 ~1982
3109817186589038 ~1983
3109837186590238 ~1983
3109921186595278 ~1983
311023162204637 ~1982
3110299311029918 ~1983
3110321248825698 ~1983
3110377186622638 ~1983
3110593746542338 ~1984
3110621186637278 ~1983
3110689933206718 ~1985
31107411928659439 ~1985
311077162215437 ~1982
311096362219277 ~1982
311113162222637 ~1982
3111397186683838 ~1983
31114312489144819 ~1986
3111481497836978 ~1984
311165962233197 ~1982
311186362237277 ~1982
3112271248981698 ~1983
3112399560231838 ~1984
3112471311247118 ~1983
3112687311268718 ~1983
3112687747044898
Exp. Prime Factor Digits Year
3112721249017698 ~1983
311285962257197 ~1982
311291962258397 ~1982
3112933684845278 ~1984
3112973186778398 ~1983
3112973435816238
31130531681048639 ~1985
3113101186786078 ~1983
3113111528606247910 ~1989
311339962267997 ~1982
3113447249075778 ~1983
3113471560424798 ~1984
31137071992772499 ~1985
311378362275677 ~1982
3113821498211378 ~1984
3113833498213298 ~1984
3113899747335778 ~1984
3113939560509038 ~1984
311396362279277 ~1982
3114211498273778 ~1984
3114283311428318 ~1983
3114359560584638 ~1984
3114437249154978 ~1983
3114497249159778 ~1983
311471962294397 ~1982
Exp. Prime Factor Digits Year
3114889685275598 ~1984
31148892429613439
311489962297997 ~1982
3114953934485918 ~1985
311497162299437 ~1982
3115157249212578 ~1983
3115193186911598 ~1983
3115193436127038
3115201186912078 ~1983
3115261186915678 ~1983
311537962307597 ~1982
3115597186935838 ~1983
3115657498505138 ~1984
31157993801274799 ~1986
3115813163891763910 ~1988
31158311495598899 ~1985
311588362317677 ~1982
3116011311601118 ~1983
3116077186964638 ~1983
31162072056696639 ~1985
3116273186976398 ~1983
3116341186980478 ~1983
3116341498614578
3116417186985038 ~1983
3116609436325278 ~1984
Exp. Prime Factor Digits Year
3116609747986178
3116611311661118 ~1983
311669962333997 ~1982
3116777748026498 ~1984
311678362335677 ~1982
3116837249346978 ~1983
3116951249356098 ~1983
3117031311703118 ~1983
311707162341437 ~1982
311720362344077 ~1982
3117461187047678 ~1983
3117461249396898
3117467249397378 ~1983
311747962349597 ~1982
3117481187048878 ~1983
3117553748212738 ~1984
3117661935298318 ~1985
3117679311767918 ~1983
311768362353677 ~1982
3117721187063278 ~1983
3117799748271778 ~1984
3117967561234078 ~1984
311815162363037 ~1982
311821162364237 ~1982
31182294178426879 ~1986
529
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26-05-03