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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
2136389512733378 ~1983
2136437128186238 ~1982
2136583341853298 ~1983
2136599683711698 ~1983
21365992222062979
2136601128196078 ~1982
2136661128199678 ~1982
2136661470065438
2136773299148238 ~1983
213683942736797 ~1980
2136839170947138
2136913341906098 ~1983
213698342739677 ~1980
2137133299198638 ~1983
2137141128228478 ~1982
2137159213715918 ~1982
213721142744237 ~1980
2137409683970898 ~1983
2137507384751278 ~1983
2137571384762798 ~1983
213829142765837 ~1980
213839942767997 ~1980
2138419513220578 ~1983
213848342769677 ~1980
2138537641561118 ~1983
Exp. Prime Factor Digits Year
2138737983819038 ~1984
213887942777597 ~1980
2138987513356898 ~1983
2139337128360238 ~1982
2139427513462498 ~1983
2139583213958318 ~1982
213974342794877 ~1980
2139877128392638 ~1982
2139931385187598 ~1983
2139953128397198 ~1982
2140001128400078 ~1982
2140013642003918 ~1983
2140057128403438 ~1982
214009142801837 ~1980
2140157642047118 ~1983
214019942803997 ~1980
2140253684880978 ~1983
2140301171224098 ~1982
2140349684911698 ~1983
2140367556495438 ~1983
2140447513707298 ~1983
2140627214062718 ~1982
2140753128445198 ~1982
21407631584164639 ~1984
2140807214080718 ~1982
Exp. Prime Factor Digits Year
2141141171291298 ~1982
214115942823197 ~1980
2141407342625138 ~1983
2141437128486238 ~1982
214154342830877 ~1980
21415491027943539 ~1984
214159142831837 ~1980
21417311884723299 ~1984
2141891385540398 ~1983
2141897128513838 ~1982
2141899385541838 ~1983
214225142845037 ~1980
2142431171394498 ~1982
2142449299942878 ~1983
2142577128554638 ~1982
2142691342830578 ~1983
2142793128567598 ~1982
214292342858477 ~1980
21429711028626099 ~1984
21430731200120899 ~1984
2143217128593038 ~1982
21432231071611519 ~1984
2143279514386978 ~1983
214333142866637 ~1980
2143417514420098 ~1983
Exp. Prime Factor Digits Year
214345142869037 ~1980
2143571557328478 ~1983
2143667171493378 ~1982
214385942877197 ~1980
214394342878877 ~1980
214406342881277 ~1980
21441172701587439 ~1985
2144161471715438 ~1983
2144209471725998 ~1983
21442095617827599
2144251343080178 ~1983
2144279171542338 ~1982
214439942887997 ~1980
2144501128670078 ~1982
21445072744968979 ~1985
2144551214455118 ~1982
21446833088343539 ~1985
2144719729204478 ~1983
2144729300262078 ~1983
2144801171584098 ~1982
214502342900477 ~1980
21450831930574719 ~1984
2145137171610978 ~1982
2145287386151678 ~1983
2145287514868898
414
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26-05-03