A184935 Primes of the form k^2 + prime(k).

3, 7, 23, 83, 181, 239, 563, 1013, 1447, 1607, 2129, 2729, 3167, 3881, 4673, 5849, 6481, 7489, 8563, 9719, 11813, 18713, 21563, 25247, 27197, 29221, 33469, 36467, 47977, 50683, 51599, 56237, 69257, 71389, 75731, 96893, 107119, 115163

Offset: 1

Author

Jonathan Vos Post, Feb 02 2011

Keywords

• nonn
• easy

Comments

Primes in A004232. Sequence A064711 has the values of k.

Examples

			3167 is here because 54^2 + prime(54) = 54^2 + 251 = 3167, which is prime.
		

Links

• Carmine Suriano, Table of n, a(n) for n = 1..82

Crossrefs

Cf. A000040, A000290, A004232, A064711.

Programs

Magma

[ a: k in [0..10000] | IsPrime(a) where a is k^2 + NthPrime(k) ]; // Vincenzo Librandi, Apr 14 2011

Mathematica

Select[Table[k^2 + Prime[k], {k, 1000}], PrimeQ] (* Harvey P. Dale, Feb 16 2011 *)

Extensions

Better name from Zak Seidov, Apr 12 2011