A243957 Primes of the form 2*n^2+66*n+31.

499, 787, 1471, 1867, 2767, 3271, 4999, 5647, 8599, 13099, 14107, 16231, 19687, 22171, 24799, 33547, 40099, 43591, 52951, 63211, 65371, 67567, 79087, 88951, 94099, 99391, 104827, 107599, 116131, 119047, 124987, 131071, 153499, 160231, 167107, 177691, 192307

Offset: 1

Author

Vincenzo Librandi, Jun 16 2014

Keywords

• nonn
• easy

Comments

Primes of the form 36*A056115(k)+31.

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

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A056115, A142110 (supersequence).

Cf. similar sequences listed in A243888.

Programs

Magma

[a: n in [1..500] | IsPrime(a) where a is 2*n^2+66*n+31];

Mathematica

Select[Table[2 n^2 + 66 n + 31, {n, 800}], PrimeQ]