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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A225892 Numbers of the form p^2 * (p^2 + 1) where p is in A225856.

Original entry on oeis.org

20, 90, 650, 14762, 28730, 83810, 130682, 280370, 708122, 924482, 1875530, 4881890, 7893290, 12120842, 13849562, 20155610, 25416722, 28403570, 38956322, 47465210, 62750162, 88538690, 104070602, 112561490, 141170042, 163060130, 260160770, 294517082, 352294130
Offset: 1

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Author

Rafael Parra Machio, May 20 2013

Keywords

Examples

			a(2) = 3^2(3^2+1) = 3^4+3^2 = 90.
a(5) = 13^2(13^2+1) = 13^4+13^2 = 28730.
		

Crossrefs

Cf. A071253, A225856 (primes p such that p^2+1 is squarefree).

Programs

  • Mathematica
    p = Select[Prime[Range[60]], SquareFreeQ[#^2+1]&]; p^2 * (p^2+1)
    #^2 (#^2+1)&/@Select[Prime[Range[50]],SquareFreeQ[#^2+1]&] (* Harvey P. Dale, Jun 17 2022 *)

Formula

a(n) = A071253(A225856(n)). - Amiram Eldar, Feb 23 2021
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