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

1,1

Links

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 60 eq 37 ]; // Vincenzo Librandi, Sep 04 2012
(PARI) is(n)=isprime(n) && n%60==37 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A033222 A098025 A256602 * A139939 A159231 A180518

Adjacent sequences: A142790 A142791 A142792 * A142794 A142795 A142796

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved