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Search: id:A059792
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| A059792 |
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Numbers n such that floor(pi^n) is prime. |
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+0
4
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| 1, 3, 4, 12, 73, 317, 2728, 6826, 7683, 7950, 14417, 44436, 63698
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Pi-Prime
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EXAMPLE
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pi^3 =31.0062766... floor(pi^3) = 31 is prime hence 3 is a term.
floor(pi^317)=39492046894389575314518015275156522234256325244858662\
9384386892199657951784561879730228789865483929643927422740165980523\
92448365675861748301474339092198412631 is prime.
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MATHEMATICA
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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}] (Propper)
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CROSSREFS
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Cf. A100800, A077547.
Sequence in context: A109771 A052626 A122903 this_sequence A018930 A127689 A127690
Adjacent sequences: A059789 A059790 A059791 this_sequence A059793 A059794 A059795
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KEYWORD
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hard,nonn
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AUTHOR
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Naohiro Nomoto (6284968128(AT)geocities.co.jp), Feb 22 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 24 2001. One more term from Robert G. Wilson v (rgwv(AT)rgwv.com), May 09 2001
a(8)-a(11) from Ryan Propper (rpropper(AT)stanford.edu), Oct 21 2005
a(12)-a(13) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 05 2008
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