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A217498 Primes of the form 2*n^2 + 58*n + 27. 10

%I #23 Sep 08 2022 08:46:04

%S 151,367,619,907,1231,1987,2887,3391,3931,4507,5119,6451,7927,8719,

%T 9547,11311,13219,15271,17467,21031,22291,24919,27691,29131,32119,

%U 35251,36871,41947,43711,55051,59119,63331,76831,81619,84067,89071,94219,96847,104947

%N Primes of the form 2*n^2 + 58*n + 27.

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

%C 2*a(n) + 787 is a square. - _Vincenzo Librandi_, Apr 10 2015

%H Vincenzo Librandi, <a href="/A217498/b217498.txt">Table of n, a(n) for n = 1..3000</a>

%t Select[Table[2 n^2 + 58 n + 27, {n, 500}], PrimeQ]

%o (Magma) [a: n in [1..500] | IsPrime(a) where a is 2*n^2+58*n+27];

%Y Cf. A054723, A176549, A217494.

%Y Subsequence of A002145.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Oct 09 2012

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Last modified May 8 11:12 EDT 2024. Contains 372332 sequences. (Running on oeis4.)