A140511 -id:A140511 - cp's OEIS frontend

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

Karl-Heinz Hofmann, Nov 24 2021

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

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

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

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

a(n) = prime(n) + prime(n+1)^2; \\ Michel Marcus, Nov 24 2021

from sympy import sieve;
for n in range(1,10001): print(sieve[n] + sieve[n+1]**2)

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

A352851 a(n) = prime(n)^2 + prime(n+1).

Original entry on oeis.org

7, 14, 32, 60, 134, 186, 308, 384, 558, 872, 998, 1410, 1724, 1896, 2262, 2868, 3542, 3788, 4560, 5114, 5408, 6324, 6978, 8018, 9510, 10304, 10716, 11558, 11994, 12896, 16260, 17298, 18908, 19470, 22352, 22958, 24812, 26736, 28062, 30108, 32222, 32952, 36674, 37446, 39008, 39812, 44744, 49956

Offset: 1

Robert Israel, Apr 05 2022

nonn

			a(3) = 5^2 + 7 = 32.

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A000040, A001248, A140511, A349660.

seq(ithprime(i)^2+ithprime(i+1), i=1..100);

a[n_] := Prime[n]^2 + Prime[n + 1]; Array[a, 50] (* Amiram Eldar, Apr 07 2022 *)

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

a(n) = 2*A140511(n), for n>1. - Michel Marcus, Mar 25 2023

cp's OEIS Frontend

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

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