A243958 Primes of the form 2*n^2+86*n+41.

317, 521, 857, 977, 1229, 1361, 1637, 2081, 2237, 2729, 3257, 3821, 4217, 4421, 5501, 6197, 8501, 9341, 9629, 12401, 13397, 14081, 15137, 15497, 16229, 18521, 18917, 20129, 21377, 22229, 23537, 23981, 26261, 26729, 29129, 31121, 32141, 35837, 36929, 39161

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.

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..300] | IsPrime(a) where a is 2*n^2+86*n+41];

Mathematica

Select[Table[2 n^2 + 86 n + 41, {n, 800}], PrimeQ]