A142790 Primes congruent to 23 mod 60.

23, 83, 263, 383, 443, 503, 563, 683, 743, 863, 983, 1103, 1163, 1223, 1283, 1523, 1583, 1823, 2003, 2063, 2243, 2423, 2543, 2663, 2843, 2903, 2963, 3023, 3083, 3203, 3323, 3623, 3803, 3863, 3923, 4283, 4463, 4523, 4583, 4643, 4703, 4943, 5003, 5303, 5483

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(6000) | p mod 60 eq 23 ]; // Vincenzo Librandi, Sep 04 2012

Mathematica

Select[Prime[Range[800]], MemberQ[{23}, Mod[#, 60]] &] (* Vincenzo Librandi, Sep 04 2012 *)

PARI

is(n)=isprime(n) && n%60==23 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 02 2016