A142799 Primes congruent to 59 mod 60.

59, 179, 239, 359, 419, 479, 599, 659, 719, 839, 1019, 1259, 1319, 1439, 1499, 1559, 1619, 1979, 2039, 2099, 2339, 2399, 2459, 2579, 2699, 2819, 2879, 2939, 2999, 3119, 3299, 3359, 3539, 3659, 3719, 3779, 4019, 4079, 4139, 4259, 4679, 4799, 4919, 5039, 5099

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

Supersequence of A230809. Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 60 eq 59 ]; // Vincenzo Librandi, Sep 04 2012

Mathematica

Select[Prime[Range[900]], MemberQ[{59}, Mod[#, 60]] &] (* Vincenzo Librandi, Sep 04 2012 *)
Select[Range[59,5250,60],PrimeQ] (* Harvey P. Dale, Jun 09 2024 *)

PARI

is(n)=isprime(n) && n%60==59 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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