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Primes of the form 5*x^2 - 2*y^2, where x and y are successive natural numbers.
1

%I #10 Aug 14 2018 21:04:14

%S 2,13,53,317,613,797,1237,1493,3533,4877,12413,16573,17477,20333,

%T 26693,30197,32653,37853,40597,44893,50957,54133,59077,60773,64237,

%U 71453,81013,82997,87037,99733,108677,115637,120397,127717,145637,159157

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

%C a(n) is congruent 1 mod 4.

%C Primes of the form 3*n^2-4*n-2, with n>1. [_Vincenzo Librandi_, Aug 06 2010]

%H Robert Israel, <a href="/A177077/b177077.txt">Table of n, a(n) for n = 1..10000</a>

%p select(isprime, [seq(3*n^2-4*n-2,n=2..1000)]); # _Robert Israel_, Aug 14 2018

%Y Cf. A176470, A176557.

%K nonn

%O 1,1

%A _Giovanni Teofilatto_, May 02 2010