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A217494 Primes of the form 2*n^2 + 34*n + 15. 14

%I #21 Sep 08 2022 08:46:04

%S 631,883,1171,2251,2683,8191,9811,12511,20071,25183,30871,33931,38791,

%T 40483,57331,61471,70183,81883,94483,105211,125371,150571,157231,

%U 167491,188983,292483,315883,340183,360271,423991,440731,469351,481051,510931

%N Primes of the form 2*n^2 + 34*n + 15.

%C Conjecture: 2^a(n)-1 is not prime; in other words, these primes are included in A054723.

%C 2*a(n)+259 is a square. - _Vincenzo Librandi_, Mar 04 2013

%H Vincenzo Librandi, <a href="/A217494/b217494.txt">Table of n, a(n) for n = 1..3000</a>

%t Select[Table[2 n^2 + 34 n + 15, {n, 500}], PrimeQ]

%o (Magma) [a: n in [1..500] | IsPrime(a) where a is 2*n^2+34*n+15];

%Y Cf. A054723, A176549.

%Y Subsequence of A002145.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Oct 08 2012

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Last modified April 25 10:51 EDT 2024. Contains 371967 sequences. (Running on oeis4.)