A142793 Primes congruent to 37 mod 60.

37, 97, 157, 277, 337, 397, 457, 577, 757, 877, 937, 997, 1117, 1237, 1297, 1597, 1657, 1777, 2017, 2137, 2377, 2437, 2557, 2617, 2677, 2797, 2857, 2917, 3037, 3217, 3457, 3517, 3637, 3697, 3877, 4057, 4177, 4297, 4357, 4597, 4657, 4957, 5077, 5197, 5437

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 37 ]; // Vincenzo Librandi, Sep 04 2012

Mathematica

Select[Prime[Range[800]], MemberQ[{37}, Mod[#, 60]] &] (* Vincenzo Librandi, Sep 04 2012 *)
Select[Range[37,6000,60],PrimeQ] (* Harvey P. Dale, Sep 14 2019 *)

PARI

is(n)=isprime(n) && n%60==37 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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