A142091 Primes congruent to 23 mod 35.

23, 163, 233, 373, 443, 653, 863, 1213, 1283, 1423, 1493, 1913, 2053, 2333, 2473, 2543, 2683, 2753, 2963, 3313, 3593, 3733, 3803, 3943, 4013, 4153, 4363, 4643, 4783, 4993, 5273, 5413, 5483, 5623, 5693, 5903, 6043, 6113, 6323, 6673, 6883, 7583, 7723, 7793

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(9000) | p mod 35 eq 23 ]; // Vincenzo Librandi, Aug 19 2012

Mathematica

Select[Range[23, 20000, 35], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 29 2011 *)
Select[Prime[Range[3000]],MemberQ[{23},Mod[#,35]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PARI

is(n)=isprime(n) && n%35==23 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 02 2016