A092178 Primes congruent to 8 mod 13.

47, 73, 151, 229, 281, 307, 359, 463, 541, 593, 619, 827, 853, 983, 1009, 1061, 1087, 1217, 1321, 1373, 1399, 1451, 1607, 1789, 1867, 1997, 2153, 2179, 2309, 2543, 2621, 2647, 2699, 2777, 2803, 3011, 3037, 3089, 3167, 3271, 3323, 3557, 3583, 3739, 3947

Offset: 1

Author

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 01 2004

Keywords

• nonn
• easy

Comments

Primes congruent to 21 mod 26. - Chai Wah Wu, Apr 28 2025

Links

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

Programs

Magma

[p: p in PrimesUpTo(4500) | p mod 13 eq 8 ]; // Vincenzo Librandi, Aug 14 2012

Mathematica

lst={};Do[p=Prime[n];If[Mod[p,13]==8,AppendTo[lst,p]],{n,7!}];lst (* Vladimir Joseph Stephan Orlovsky, Feb 26 2009 *)
Select[Prime@Range[600], MemberQ[{8}, Mod[#, 13]] &] (* Vincenzo Librandi, Aug 14 2012 *)
Select[Range[8, 4000, 13], PrimeQ] (* Bruno Berselli, Aug 17 2012 *)

PARI

is(n)=isprime(n) && n%13==8 \\ Charles R Greathouse IV, Jul 01 2016

Extensions

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 25 2004