A142779 Primes congruent to 52 mod 59.

229, 347, 701, 937, 1291, 1409, 1999, 2707, 3061, 3533, 3769, 4241, 4831, 5303, 5657, 6011, 6247, 6719, 7309, 8017, 9433, 9551, 9787, 10141, 10259, 10613, 11321, 12619, 12973, 13327, 13681, 13799, 14153, 14389, 15451, 15569, 15923, 16631, 17929, 18047

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(19000) | p mod 59 eq 52 ]; // Vincenzo Librandi, Sep 04 2012

Mathematica

Select[Prime[Range[2300]], MemberQ[{52}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 04 2012 *)

PARI

is(n)=isprime(n) && n%59==52 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 03 2016