A141850 Primes congruent to 3 mod 11.

3, 47, 113, 157, 179, 223, 311, 421, 443, 487, 509, 619, 641, 751, 773, 839, 883, 971, 1103, 1213, 1279, 1301, 1367, 1433, 1499, 1543, 1609, 1697, 1741, 1873, 2027, 2137, 2203, 2269, 2357, 2423, 2467, 2621, 2687, 2731, 2753, 2797, 2819, 3061, 3083, 3259, 3347

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Primes congruent to 3 mod 22. - Chai Wah Wu, Apr 29 2025

Links

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

Crossrefs

Cf. A141849, A090187.

Programs

Magma

[ p: p in PrimesUpTo(5000) | p mod 11 eq 3 ]; // Vincenzo Librandi, Apr 19 2011

Mathematica

Select[Range[3,10000,11],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 18 2011 *)
Select[Prime[Range[500]],Mod[#,11]==3&] (* Harvey P. Dale, Jul 14 2021 *)

PARI

is(n)=isprime(n) && n%11==3 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 10n log n. - Charles R Greathouse IV, Jul 02 2016