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

151, 367, 619, 907, 1231, 1987, 2887, 3391, 3931, 4507, 5119, 6451, 7927, 8719, 9547, 11311, 13219, 15271, 17467, 21031, 22291, 24919, 27691, 29131, 32119, 35251, 36871, 41947, 43711, 55051, 59119, 63331, 76831, 81619, 84067, 89071, 94219, 96847, 104947

Offset: 1

Author

Vincenzo Librandi, Oct 09 2012

Keywords

• nonn
• easy

Comments

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

2*a(n) + 787 is a square. - Vincenzo Librandi, Apr 10 2015

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..3000

Crossrefs

Cf. A054723, A176549, A217494.

Subsequence of A002145.

Programs

Magma

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

Mathematica

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