A142902 Primes congruent to 23 mod 63.

23, 149, 401, 653, 1031, 1283, 1409, 1787, 1913, 2039, 2417, 2543, 3299, 3677, 3803, 3929, 4937, 5189, 5441, 5693, 6197, 6323, 6449, 6701, 6827, 7079, 7331, 7457, 7583, 8087, 8969, 9221, 9473, 9851, 10103, 10607, 10733, 10859, 11489, 11867, 12119, 12497

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(13000) | p mod 63 eq 23 ] ; // Vincenzo Librandi, Sep 05 2012

Mathematica

Select[Prime[Range[1900]], MemberQ[{23}, Mod[#, 63]] &] (* Vincenzo Librandi, Sep 06 2012 *)
Select[Range[23,13000,63],PrimeQ] (* Harvey P. Dale, Oct 28 2015 *)

PARI

is(n)=isprime(n) && n%63==23 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 03 2016