cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A111937 Integers k such that ceiling(Pi^k) is prime.

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%I A111937 #17 Feb 16 2025 08:32:58
%S A111937 5,29,88,948,1071,1100,1578,14357
%N A111937 Integers k such that ceiling(Pi^k) is prime.
%H A111937 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Phi-Prime.html">Phi-Prime</a>
%e A111937 a(1)=5: ceiling(3.14159265...^5) = ceiling(306.0196847...) = 307, which is prime.
%t A111937 $MaxExtraPrecision = 2^20; Do[ If[ PrimeQ[ Ceiling[Pi^n]], Print[n]], {n, 10000}] (* _Robert G. Wilson v_, Nov 28 2005 *)
%Y A111937 Cf. A001673.
%K A111937 nonn,more
%O A111937 1,1
%A A111937 _Ray G. Opao_, Nov 27 2005
%E A111937 a(5)-a(7) from _Robert G. Wilson v_, Nov 28 2005
%E A111937 a(8) from _Donovan Johnson_, Feb 04 2008