A142291 Primes congruent to 42 mod 43.

257, 601, 773, 859, 1031, 1117, 1289, 2063, 2579, 2837, 3181, 3697, 4127, 4643, 4729, 4987, 5417, 5503, 6277, 6449, 6793, 7309, 7481, 8513, 8599, 9029, 9631, 9803, 10061, 10663, 11093, 11351, 11437, 11867, 11953, 12211, 12641, 12899, 13759, 13931, 14447

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(18000) | p mod 43 eq 42 ]; // Vincenzo Librandi, Aug 25 2012

Mathematica

Select[Prime[Range[5000]],MemberQ[{42},Mod[#,43]]&] (* Vincenzo Librandi; Aug 25 2012 *)
Select[Range[42,15000,43],PrimeQ] (* Harvey P. Dale, Sep 11 2019 *)

PARI

is(n)=isprime(n) && n%43==42 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 42n log n. - Charles R Greathouse IV, Jul 02 2016