A243890 Primes of the form 2*n^2+38*n+17.

101, 149, 257, 317, 449, 521, 677, 761, 941, 1697, 1949, 2081, 2357, 2801, 2957, 3449, 3797, 4349, 4937, 6221, 6449, 6917, 7649, 7901, 8681, 9221, 9497, 10061, 10937, 12161, 13121, 13781, 15149, 16217, 17321, 18077, 18461, 20441, 20849, 25601, 26981, 27449

Offset: 1

Author

Vincenzo Librandi, Jun 16 2014

Keywords

• nonn
• easy

Comments

Subsequence of A040117.

Conjecture: except 521, 2^a(n)-1 is not prime; in other words, these primes are included in A054723.

2*a(n) + 327 is a square. - Vincenzo Librandi, Jun 29 2016

Links

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

Crossrefs

Cf. A040117.

Cf. similar sequences listed in A243888.

Programs

Magma

[a: n in [1..200] | IsPrime(a) where a is 2*n^2+38*n+17];

Mathematica

Select[Table[2 n^2 + 38 n + 17, {n, 800}], PrimeQ]