A138430 a(n) = (prime(n)^5 - prime(n))/30.

1, 8, 104, 560, 5368, 12376, 47328, 82536, 214544, 683704, 954304, 2311464, 3861872, 4900280, 7644832, 13939848, 23830808, 28153208, 45004168, 60140976, 69102384, 102568544, 131301352, 186135312, 286244672, 350336680, 386424688, 467517240, 512874648

Offset: 1

Author

Artur Jasinski, Mar 19 2008

Keywords

• nonn
• easy

Comments

a(n) = Sum_{i+j=p} (i^2)*(j^2) where p = prime(n). - Michel Lagneau, May 21 2012

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A000040, A138404, A138426.

Programs

Magma

[(NthPrime((n))^5 - NthPrime((n)))/30: n in [1..30]]; // Vincenzo Librandi, Jun 18 2011

Mathematica

Table[p = Prime[n]; (p^5 - p)/30, {n, 50}]

PARI

forprime(p=2,1e3,print1((p^5-p)/30", ")) \\ Charles R Greathouse IV, Jul 15 2011

Formula

a(n) = A138404(n)/30. - R. J. Mathar, Oct 15 2017

a(n) = A138426(n)/6. - Bernard Schott, Feb 28 2023