A243891 Primes of the form 2*n^2 + 62*n + 29.

233, 389, 653, 953, 1061, 1289, 1409, 2069, 2213, 4253, 4649, 5273, 6869, 8933, 9209, 10061, 10949, 13829, 15569, 16661, 17033, 17789, 24413, 26693, 28109, 32573, 35729, 36269, 37361, 42473, 44249, 46061, 48533, 51713, 52361, 55661, 56333, 57689, 59753

Offset: 1

Author

Vincenzo Librandi, Jun 16 2014

Keywords

• nonn
• easy

Comments

Subsequence of A040117.

Conjecture: except 4253, 2^a(n) - 1 is not prime; in other words, these primes are included in A054723.

2*a(n) + 903 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+62*n+29];

Mathematica

Select[Table[2 n^2 + 62 n + 29, {n, 200}], PrimeQ]