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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
2203967528952098 ~1983
220400344080077 ~1981
2204047220404718 ~1982
2204117308576398 ~1983
2204197352671538 ~1983
2204333132259998 ~1982
2204431220443118 ~1982
220459144091837 ~1981
220465144093037 ~1981
2204651176372098
220475944095197 ~1981
22047671984290319 ~1985
2204827352772338 ~1983
220484344096877 ~1981
2204863529167138 ~1983
220502344100477 ~1981
2205199396935838 ~1983
220523944104797 ~1981
2205319396957438 ~1983
2205373661611918 ~1983
2205521132331278 ~1982
2205629529350978 ~1983
2205703220570318 ~1982
2205793352926898 ~1983
2205803573508798 ~1983
Exp. Prime Factor Digits Year
220583944116797 ~1981
220603144120637 ~1981
2206097132365838 ~1982
2206151176492098 ~1982
220616344123277 ~1981
2206219220621918 ~1982
220628344125677 ~1981
220633144126637 ~1981
2206429485414398 ~1983
220649944129997 ~1981
2206517661955118 ~1983
220655944131197 ~1981
2206559176524738
220661944132397 ~1981
2206649176531938 ~1982
2206657132399438 ~1982
2206783220678318 ~1982
220681144136237 ~1981
2207039176563138 ~1982
220709944141997 ~1981
220712344142477 ~1981
220717144143437 ~1981
2207279176582338 ~1982
2207299220729918 ~1982
2207323529757538 ~1983
Exp. Prime Factor Digits Year
220735144147037 ~1981
2207561132453678 ~1982
2207617353218738 ~1983
2207713485696878 ~1983
2207861132471678 ~1982
2207873132472398 ~1982
2207893132473598 ~1982
2207969662390718 ~1983
2208127220812718 ~1982
220813144162637 ~1981
2208337530000898 ~1983
220880344176077 ~1981
22088471413662099 ~1984
2208977530154498 ~1983
220907944181597 ~1981
2209079530178978
2209213132552798 ~1982
2209231397661598 ~1983
22092317953231619
2209253132555198 ~1982
220928344185677 ~1981
220945144189037 ~1981
2209589662876718 ~1983
220963144192637 ~1981
2209661662898318 ~1983
Exp. Prime Factor Digits Year
2209663353546098 ~1983
220970344194077 ~1981
2209721176777698 ~1982
2209769309367678 ~1983
2209793309371038 ~1983
2210009176800738 ~1982
2210009309401278
2210141132608478 ~1982
2210227751477198 ~1984
2210287884114818 ~1984
221029144205837 ~1981
221030344206077 ~1981
2210309176824738 ~1982
2210387176830978 ~1982
2210389663116718 ~1983
2210401353664178 ~1983
2210407530497698 ~1983
2210413884165218 ~1984
2210419221041918 ~1982
2210521132631278 ~1982
221072344214477 ~1981
2210777176862178 ~1982
221089144217837 ~1981
2210939176875138 ~1982
22110233360754979 ~1985
408
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25-05-04