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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
271616354323277 ~1981
2716279271627918 ~1983
2716289380280478 ~1983
27163271575469679 ~1985
2716397162983838 ~1982
2716543434646898 ~1983
2716733380342638 ~1983
271673954334797 ~1981
2716739217339138
271682354336477 ~1981
27169931956234979 ~1985
2717137163028238 ~1982
2717201163032078 ~1982
2717233597791278 ~1984
2717291217383298 ~1983
271741154348237 ~1981
2717441163046478 ~1982
271765154353037 ~1981
2717653434824498 ~1983
2717711217416898 ~1983
2717783706623598 ~1984
271783154356637 ~1981
2717833652279938 ~1984
2717929597944398 ~1984
2717993380519038 ~1983
Exp. Prime Factor Digits Year
271814354362877 ~1981
2718143652354338
2718187271818718 ~1983
2718193163091598 ~1982
271820354364077 ~1981
2718409652418178 ~1984
271867154373437 ~1981
2718673163120398 ~1982
2718841435014578 ~1983
2718907435025138 ~1983
2718931435028978 ~1983
271895954379197 ~1981
2719001217520098 ~1983
2719207652609698 ~1984
27192193534984719 ~1986
271933154386637 ~1981
2719357163161438 ~1982
2719471271947118 ~1983
27194711087788419
27194812610701779 ~1985
271952354390477 ~1981
2719529217562338 ~1983
271988354397677 ~1981
2719897163193838 ~1982
2719991217599298 ~1983
Exp. Prime Factor Digits Year
2720239489643038 ~1984
2720243707263198 ~1984
2720251489645198 ~1984
272030354406077 ~1981
2720321816096318 ~1984
2720387707300638 ~1984
2720713598556878 ~1984
2720789217663138 ~1983
272089154417837 ~1981
2720897163253838 ~1982
2721053163263198 ~1982
2721113163266798 ~1982
2721113380955838
2721119217689538 ~1983
272114354422877 ~1981
27212591088503619 ~1984
2721317163279038 ~1982
27213713755491999 ~1986
27214137402243379 ~1986
2721727272172718 ~1983
272186354437277 ~1981
2722067217765378 ~1983
27221631524411299 ~1985
27222491088899619 ~1984
2722387925611598 ~1984
Exp. Prime Factor Digits Year
2722399653375778 ~1984
272261954452397 ~1981
272269154453837 ~1981
2722843653482338 ~1984
2722891272289118 ~1983
2722931490127598 ~1984
2723041163382478 ~1982
2723207217856578 ~1983
2723221163393278 ~1982
2723323272332318 ~1983
2723341163400478 ~1982
2723401163404078 ~1982
272354354470877 ~1981
2723549381296878 ~1983
2723551272355118 ~1983
2723569817070718 ~1984
2723579217886338 ~1983
2723599490247838 ~1984
2723717163423038 ~1982
2723731490271598 ~1984
272377154475437 ~1981
2723839653721378 ~1984
27238791307461939 ~1985
27238871579854479 ~1985
272395154479037 ~1981
473
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25-09-07