A142302 Primes congruent to 23 mod 44.

23, 67, 199, 331, 419, 463, 683, 727, 859, 947, 991, 1123, 1607, 1783, 1871, 2003, 2179, 2267, 2311, 2399, 2531, 2663, 2707, 2927, 2971, 3191, 3323, 3499, 3631, 3719, 3851, 4027, 4159, 4423, 4643, 4951, 5039, 5171, 5303, 5347, 5479, 5743, 6007, 6271, 6359

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Subsequence of A141849. - Zak Seidov, Sep 22 2020

Links

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

Crossrefs

Cf. A000040, A141849.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 44 eq 23]; // Vincenzo Librandi, Aug 25 2012

Mathematica

Select[Prime[Range[2500]],MemberQ[{23},Mod[#,44]]&] (* Vincenzo Librandi, Aug 25 2012 *)

PARI

is(n)=isprime(n) && n%44==23 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 02 2016