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.

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A358895 Numbers k such that p(k)^p(k + 1) < p(k + 2)^p(k), where p(k) = prime(k).

Original entry on oeis.org

1, 2, 3, 10, 33, 41, 45, 52, 60, 98, 113, 120, 262, 294, 296, 318, 343, 377, 408, 428, 444, 475, 477, 486, 572, 601, 673, 700, 774, 837, 870, 913, 934, 936, 944, 984, 1050, 1115, 1169, 1182, 1230, 1232, 1287, 1391, 1445, 1456, 1550, 1584, 1647, 1653, 1674
Offset: 1

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Author

Clark Kimberling, Dec 06 2022

Keywords

Examples

			For k = 3, we have 78125 = p(3)^p(4) < p(5)^p(3) = 161051.
		

Crossrefs

Programs

  • Mathematica
    p[n_] := Prime[n];
    u = Select[Range[3000], p[#]^p[# + 1] < p[# + 2]^p[#] &]  (* A358895 *)
    Prime[u]  (* A358896 *)
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