A142742 Primes congruent to 15 mod 59.

251, 487, 1549, 1667, 2729, 3083, 3319, 3673, 4027, 5443, 6151, 6269, 6977, 7213, 7331, 8039, 8629, 8747, 9337, 10163, 10399, 10753, 11579, 11933, 12641, 14057, 14293, 14411, 15473, 16063, 16417, 16889, 17597, 18541, 19013, 19249, 19603, 21019, 21491, 21727

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, A142738, A142740.

Programs

Magma

[p: p in PrimesUpTo(22000) | p mod 59 eq 15 ]; // Vincenzo Librandi, Sep 02 2012

Mathematica

Select[Range[15, 30000, 118], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)
Select[Prime[Range[2600]], MemberQ[{15}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 02 2012 *)

PARI

is(n)=isprime(n) && n%59==15 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 02 2016