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

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(17000) | p mod 43 eq 13 ]; // Vincenzo Librandi, Aug 25 2012 *)
(PARI) is(n)=isprime(n) && n%43==13 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A101004 A340936 A142931 * A364243 A163155 A183515

Adjacent sequences: A142259 A142260 A142261 * A142263 A142264 A142265

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved