A349660 Numbers which are the sum of a prime and the square of the next prime.

11, 28, 54, 128, 180, 302, 378, 548, 864, 990, 1400, 1718, 1890, 2252, 2856, 3534, 3780, 4550, 5108, 5400, 6314, 6968, 8004, 9498, 10298, 10710, 11552, 11988, 12878, 16242, 17288, 18900, 19458, 22340, 22950, 24800, 26726, 28052, 30096, 32214, 32940, 36662

Offset

1,1

Links

Karl-Heinz Hofmann, Table of n, a(n) for n = 1..10000

Formula

a(n) = prime(n) + prime(n+1)^2.

a(n) = A000040(n) + A001248(n+1).

a(n) = A036690(n+1) - A001223(n).

a(n) = A001043(n) + A036689(n+1). - Michel Marcus, Nov 24 2021

Example

a(2) = 3 + 5^2 = 28; a(3) = 5 + 7^2 = 54.

Mathematica

nterms=100; Table[Prime[n]+Prime[n+1]^2, {n, nterms}] (* Paolo Xausa, Nov 24 2021 *)

Prog

(Python) from sympy import sieve;
for n in range(1, 10001): print(sieve[n] + sieve[n+1]**2)
(PARI) a(n) = prime(n) + prime(n+1)^2; \\ Michel Marcus, Nov 24 2021

Crossrefs

Cf. A140511, A000040, A001248, A036690, A001223, A001043, A036689, A349661, A124129.

Sequence in context: A140677 A264443 A364893 * A242941 A018944 A061086

Adjacent sequences: A349657 A349658 A349659 * A349661 A349662 A349663

Keyword

nonn,easy

Author

Karl-Heinz Hofmann, Nov 24 2021

Status

approved