|
%I #11 Sep 08 2022 08:46:08
%S 101,149,257,317,449,521,677,761,941,1697,1949,2081,2357,2801,2957,
%T 3449,3797,4349,4937,6221,6449,6917,7649,7901,8681,9221,9497,10061,
%U 10937,12161,13121,13781,15149,16217,17321,18077,18461,20441,20849,25601,26981,27449
%N Primes of the form 2*n^2+38*n+17.
%C Subsequence of A040117.
%C Conjecture: except 521, 2^a(n)-1 is not prime; in other words, these primes are included in A054723.
%C 2*a(n) + 327 is a square. - _Vincenzo Librandi_, Jun 29 2016
%H Vincenzo Librandi, <a href="/A243890/b243890.txt">Table of n, a(n) for n = 1..1000</a>
%t Select[Table[2 n^2 + 38 n + 17, {n, 800}], PrimeQ]
%o (Magma) [a: n in [1..200] | IsPrime(a) where a is 2*n^2+38*n+17];
%Y Cf. A040117.
%Y Cf. similar sequences listed in A243888.
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Jun 16 2014
|
