A178494 Partial sums of A045699.

12, 29, 60, 93, 129, 181, 238, 314, 443, 577, 725, 875, 1049, 1226, 1422, 1668, 1962, 2259, 2575, 2922, 3274, 3642, 4011, 4399, 4791, 5205, 5669, 6155, 6667, 7204, 7760, 8392, 9046, 9750, 10599, 11467, 12339, 13305, 14274, 15262, 16348, 17532, 18836

Offset

1,1

Comments

Partial sums of numbers of the form p^2 + q^3, p,q primes. The subsequence of partial sums which are themselves of the form p^2 + q^3, p,q primes begins: 12, 129. The subsequence of partial sums which are themselves primes begins: 29, 181, 443, 577, 1049, 5669, 11467.

Links

Table of n, a(n) for n=1..43.

Formula

a(n) = SUM[i=1..n] A045699(i) = SUM[i=1..n] {p^2 + q^3, p,q primes}.

Example

a(5) = 12 + 17 + 31 + 33 + 36 = 129 = 2^2 + 5^3.

Crossrefs

Cf. A000040, A045699, A045700.

Sequence in context: A161452 A353872 A212867 * A049725 A183723 A247152

Adjacent sequences: A178491 A178492 A178493 * A178495 A178496 A178497

Keyword

nonn

Author

Jonathan Vos Post, May 28 2010

Status

approved