A060844 Primes of the form 6*k^2 + 6*k + 31.

31, 43, 67, 103, 151, 211, 283, 367, 463, 571, 691, 823, 967, 1123, 1291, 1471, 1663, 1867, 2083, 2311, 2551, 2803, 3067, 3343, 3631, 3931, 4243, 4567, 4903, 6367, 6763, 7591, 8467, 8923, 9391, 9871, 10867, 11383, 12451, 13003, 13567, 14143, 14731

Offset: 1

Author

Tito Piezas III, May 03 2001

Keywords

• nonn
• easy

Comments

Prime for n=[0,28]. Discriminant is -708, which is class no. 4.

References

• Paulo Ribenboim, The Little Book of Bigger Primes, Springer-Verlag NY 2004. See p. 145.

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A060834.

Programs

Mathematica

Select[Table[6n^2+6n+31,{n,0,49}],PrimeQ] (* Stefano Spezia, Apr 17 2025 *)

PARI

{ n=0; for (m=0, 2136, f=6*m^2 + 6*m + 31; if (isprime(f), write("b060844.txt", n++, " ", f)); ) } \\ Harry J. Smith, Jul 13 2009

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001