A217496 Primes of the form 2*n^2 + 50*n + 23.

23, 131, 191, 911, 1223, 1451, 1571, 1823, 3323, 3671, 3851, 5651, 6323, 6791, 7523, 8291, 9371, 10223, 12671, 15731, 16091, 16823, 25931, 28751, 29723, 39191, 43223, 50591, 53831, 55823, 60611, 62723, 64151, 64871, 68531, 73823, 77723, 80111, 87491, 90023

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)+579 is a square. - Vincenzo Librandi, Mar 04 2013

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 [0..200] | IsPrime(a) where a is 2*n^2 + 50*n + 23];

Mathematica

Select[Table[2 n^2 + 50 n + 23, {n, 0, 500}], PrimeQ]