A256585 Primes of the form 3n^2 + 39n + 37.

37, 79, 127, 181, 241, 307, 379, 457, 541, 631, 727, 829, 937, 1051, 1171, 1297, 1429, 1567, 1861, 2017, 2179, 2347, 2521, 2887, 3079, 3691, 3907, 4129, 4357, 4591, 4831, 5077, 5851, 6121, 6397, 6679, 6967, 7561, 7867, 8179, 8821, 9151, 9829, 10177, 10531

Offset: 1

Author

S. J. Vincent, Apr 02 2015

Keywords

• nonn
• less

Comments

Primes of the form 6*m+1 such that 8*m + 121 is a square. - Bruno Berselli, Apr 18 2016

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Prime-Generating Polynomial

Crossrefs

Cf. A271980, A005846, A007635, A007641, A048988, A050265 - A050268.

Programs

Maple

select(isprime, [3*k*(k+13)+37$k=0..100])[];  # Alois P. Heinz, Apr 16 2025

Mathematica

Select[(3 #^2 + 39 # + 37) & /@ Range[0, 100], PrimeQ] (* Robert Price, Apr 16 2025 *)