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

1,1

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

Maple

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

Crossrefs

Cf. A176470, A176557.

Sequence in context: A034476 A030517 A048502 * A144235 A180041 A042061

Adjacent sequences: A177074 A177075 A177076 * A177078 A177079 A177080

Keyword

nonn

Author

Giovanni Teofilatto, May 02 2010

Status

approved