A177077 Primes of the form 5*x^2 - 2*y^2, where x and y are successive natural numbers.

2, 13, 53, 317, 613, 797, 1237, 1493, 3533, 4877, 12413, 16573, 17477, 20333, 26693, 30197, 32653, 37853, 40597, 44893, 50957, 54133, 59077, 60773, 64237, 71453, 81013, 82997, 87037, 99733, 108677, 115637, 120397, 127717, 145637, 159157

Offset: 1

Author

Giovanni Teofilatto, May 02 2010

Keywords

• nonn

Comments

a(n) is congruent 1 mod 4.

Primes of the form 3*n^2-4*n-2, with n>1. [Vincenzo Librandi, Aug 06 2010]

Links

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

Crossrefs

Cf. A176470, A176557.

Programs

Maple

select(isprime, [seq(3*n^2-4*n-2,n=2..1000)]); # Robert Israel, Aug 14 2018