A142110 Primes congruent to 31 mod 36.

31, 67, 103, 139, 211, 283, 463, 499, 571, 607, 643, 751, 787, 823, 859, 967, 1039, 1291, 1327, 1399, 1471, 1543, 1579, 1723, 1759, 1831, 1867, 2011, 2083, 2371, 2551, 2659, 2731, 2767, 2803, 3019, 3163, 3271, 3307, 3343, 3559, 3631, 3739, 3847, 3919, 4027

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(5000) | p mod 36 eq 31 ]; // Vincenzo Librandi, Aug 19 2012

Mathematica

Select[Range[31,4100,36],PrimeQ] (* Harvey P. Dale, Nov 26 2011 *)
Select[Prime[Range[1500]],MemberQ[{31},Mod[#,36]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PARI

is(n)=isprime(n) && n%36==31 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 02 2016