A142746 Primes congruent to 19 mod 59.

19, 137, 373, 491, 727, 1553, 1789, 1907, 2143, 2851, 2969, 3323, 3559, 3677, 4621, 5683, 5801, 6037, 6863, 8161, 9341, 9931, 10639, 10993, 11701, 12409, 12527, 12763, 14533, 14887, 15241, 15359, 16067, 16421, 16657, 17011, 17483, 17837, 18191, 18427, 18899

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, A142742, A142744.

Programs

Magma

[p: p in PrimesUpTo(19000) | p mod 59 eq 19 ]; // Vincenzo Librandi, Sep 03 2012

Mathematica

Select[Range[19, 30000, 118], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)
Select[Prime[Range[2300]], MemberQ[{19}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 03 2012 *)

PARI

is(n)=isprime(n) && n%59==19 \\ Charles R Greathouse IV, Jul 03 2016

Formula

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