A141129 a(n) = prime(n^2) - n^2.

1, 3, 14, 37, 72, 115, 178, 247, 338, 441, 540, 683, 840, 997, 1202, 1363, 1590, 1819, 2076, 2341, 2642, 2977, 3274, 3635, 4012, 4375, 4790, 5223, 5640, 6097, 6612, 7137, 7648, 8185, 8706, 9331, 9952, 10605, 11222, 11899, 12646, 13337, 14028, 14811

Offset

1,2

Links

Table of n, a(n) for n=1..44.

Formula

a(n) = A014689(n^2) = A014689(A000290(n)). - Michel Marcus, Feb 02 2015

Example

a(1) = prime(1^2) - 1^2 = prime(1) - 1 = 2 - 1 = 1;
a(2) = prime(2^2) - 2^2 = prime(4) - 4 = 7 - 4 = 3.

Mathematica

Table[n2=n^2; Prime[n2]-n2, {n, 50}] (* Harvey P. Dale, Apr 20 2012 *)

Prog

(PARI) a(n) = prime(n^2) - n^2; \\ Michel Marcus, Feb 18 2021

Crossrefs

Cf. A000290, A014689.

Sequence in context: A167858 A179132 A068044 * A143941 A162147 A319791

Adjacent sequences: A141126 A141127 A141128 * A141130 A141131 A141132

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jul 31 2008

Extensions

Corrected and extended by D. S. McNeil, Mar 21 2009

Status

approved