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.

A358899 Numbers k such that p(k)^p(k) > p(k-1)^p(k+1), where p(k) = prime(k).

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%I A358899 #11 Jul 17 2024 08:56:15
%S A358899 3,5,10,35,190,206,294,296,320,332,336,430,458,463,530,558,608,616,
%T A358899 636,726,805,837,870,891,1117,1171,1198,1230,1232,1275,1328,1371,1391,
%U A358899 1410,1445,1571,1634,1651,1709,1832,1880,1987,2028,2066,2075,2244,2249,2311
%N A358899 Numbers k such that p(k)^p(k) > p(k-1)^p(k+1), where p(k) = prime(k).
%e A358899 For k = 3, we have prime(2) = 2, prime(3) = 5, prime(4) = 7, and 3125 = 5^5 > 3^7 = 2187.
%t A358899 p[n_] := Prime[n];
%t A358899 u = Select[1 + Range[3000], p[#]^p[#] > p[# - 1]^p[# + 1] &]  (* A358899 *)
%t A358899 Prime[u]  (* A358900 *)
%Y A358899 Cf. A000040, A053089, A358900.
%K A358899 nonn
%O A358899 1,1
%A A358899 _Clark Kimberling_, Dec 06 2022