A142262 Primes congruent to 13 mod 43.

13, 271, 443, 701, 787, 1217, 1303, 1733, 2593, 2851, 3023, 3109, 3539, 3797, 4657, 5087, 5431, 5689, 5861, 7151, 7237, 7753, 8011, 8269, 8527, 8699, 9043, 9473, 9817, 10247, 10333, 11279, 12569, 13171, 13687, 13859, 14461, 14633, 14891, 15149, 15493, 15923

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(17000) | p mod 43 eq 13 ]; // Vincenzo Librandi, Aug 25 2012

Mathematica

Select[Prime[Range[5000]],MemberQ[{13},Mod[#,43]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[13,16000,43],PrimeQ] (* Harvey P. Dale, Aug 05 2019 *)

PARI

is(n)=isprime(n) && n%43==13 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 42n log n. - Charles R Greathouse IV, Jul 03 2016