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 A059792 Numbers n such that floor(Pi^n) is prime. 4
 1, 3, 4, 12, 73, 317, 2728, 6826, 7683, 7950, 14417, 44436, 63698 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Eric Weisstein's World of Mathematics, Pi-Prime EXAMPLE Pi^3 =31.0062766...; floor(Pi^3) = 31 is prime, hence 3 is a term. floor(Pi^317)=39492046894389575314518015275156522234256325244858662\ 9384386892199657951784561879730228789865483929643927422740165980523\ 92448365675861748301474339092198412631 is prime. MATHEMATICA Do[ If[ PrimeQ[ Floor[ Pi^n ] ], Print[n] ], {n, 0, 4000} ] \$MaxExtraPrecision = 10^6; Do[k = Floor[Pi^n]; If[PrimeQ[k], Print[n]], {n, 1, 15000}] (* Ryan Propper *) CROSSREFS Cf. A100800, A077547. Sequence in context: A336687 A298115 A122903 * A018930 A127689 A307077 Adjacent sequences:  A059789 A059790 A059791 * A059793 A059794 A059795 KEYWORD hard,nonn AUTHOR Naohiro Nomoto, Feb 22 2001 EXTENSIONS More terms from Vladeta Jovovic, Feb 24 2001 One more term from Robert G. Wilson v, May 09 2001 a(8)-a(11) from Ryan Propper, Oct 21 2005 a(12)-a(13) from Donovan Johnson, Feb 05 2008 STATUS approved

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Last modified September 30 12:21 EDT 2020. Contains 337439 sequences. (Running on oeis4.)