A122566 a(n) = prime(n^2 + n + 1).

2, 5, 17, 41, 73, 127, 191, 269, 367, 467, 607, 751, 919, 1093, 1297, 1523, 1753, 2027, 2309, 2621, 2909, 3299, 3623, 4007, 4421, 4861, 5303, 5749, 6257, 6763, 7307, 7867, 8447, 9041, 9643, 10273, 10979, 11719, 12421, 13121, 13883, 14723, 15467, 16319

Offset: 0

Author

Miklos Kristof, Sep 21 2006

Keywords

• nonn

Comments

Union of A054553 and A054568. Primes appearing on the northeast and southwest spokes of the (clockwise) prime number spiral. - Vincenzo Librandi, Nov 06 2024

Examples

			a(2) = 17 = P(2^2+2+1) = P(7).
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000

Crossrefs

Even bisection gives A054568; odd bisection gives A054553(n>0).

Cf. A000040.

Programs

Magma

[NthPrime(n^2+n+1): n in [0..60]]; // G. C. Greubel, Oct 29 2024

Maple

seq(ithprime(k^2+k+1),k=0..60);

Mathematica

Table[Prime[k^2+k+1],{k,0,50}] (* Harvey P. Dale, Apr 01 2013 *)

SageMath

[nth_prime(n^2+n+1) for n in range(61)] # G. C. Greubel, Oct 29 2024

Formula

a(n) = prime(n^2+n+1). - Wesley Ivan Hurt, Nov 28 2021