A141871 Primes congruent to 6 mod 19.

101, 139, 367, 443, 557, 709, 823, 937, 1013, 1051, 1279, 1583, 1621, 1697, 1811, 2039, 2153, 2267, 2381, 2609, 2647, 2837, 3217, 3331, 3407, 3559, 3673, 3863, 4091, 4129, 4243, 4357, 4547, 4813, 4889, 5003, 5231, 5573, 5801, 5839, 5953, 6029, 6067, 6143

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, A105854, A141881, A141882, A141883.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 19 eq 6 ]; // Vincenzo Librandi, Aug 15 2012

Mathematica

Select[Range[6,5000,19],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011*)
Select[Prime[Range[1000]],Mod[#,19]==6&] (* Harvey P. Dale, Sep 12 2020 *)

PARI

is(n)=isprime(n) && n%19==6 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 18n log n. - Charles R Greathouse IV, Jul 03 2016