A142042 Primes congruent to 19 mod 32.

19, 83, 179, 211, 307, 467, 499, 563, 659, 691, 787, 883, 947, 1171, 1427, 1459, 1523, 1619, 1747, 1811, 1907, 2003, 2099, 2131, 2579, 2707, 2803, 2963, 3187, 3251, 3347, 3539, 3571, 3923, 4019, 4051, 4211, 4243, 4339, 4691, 4723, 4787, 5011, 5107, 5171

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(6000) | p mod 32 eq 19 ]; // Vincenzo Librandi, Aug 18 2012

Mathematica

Select[Range[19,20000,32],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 02 2011 *)
Select[Prime[Range[700]], MemberQ[{19}, Mod[#, 32]] &] (* Vincenzo Librandi, Aug 18 2012 *)

PARI

is(n)=isprime(n) && n%32==19 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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