A142792 Primes congruent to 31 mod 60.

31, 151, 211, 271, 331, 571, 631, 691, 751, 811, 991, 1051, 1171, 1231, 1291, 1471, 1531, 1831, 1951, 2011, 2131, 2251, 2311, 2371, 2551, 2671, 2731, 2791, 2851, 2971, 3271, 3331, 3391, 3511, 3571, 3631, 3691, 3931, 4051, 4111, 4231, 4591, 4651, 4831, 4951

Offset

1,1

Links

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

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[1000]], Mod[#, 60]==31&]  (* Harvey P. Dale, Mar 14 2011 *)
Select[Prime[Range[800]], MemberQ[{31}, Mod[#, 60]] &] (* Vincenzo Librandi, Sep 04 2012 *)
Select[Range[31, 5000, 60], PrimeQ] (* Faster because it tests fewer numbers than the programs above *) (* Harvey P. Dale, Nov 13 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 60 eq 31 ]; // Vincenzo Librandi, Sep 04 2012
(PARI) is(n)=isprime(n) && n%60==31 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A124994 A126418 A347109 * A201964 A226890 A104049

Adjacent sequences: A142789 A142790 A142791 * A142793 A142794 A142795

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved