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

1,1

Links

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(8000) | p mod 19 eq 6 ]; // Vincenzo Librandi, Aug 15 2012
(PARI) is(n)=isprime(n) && n%19==6 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040, A105854, A141881, A141882, A141883.

Sequence in context: A106994 A050672 A122531 * A238503 A050806 A243890

Adjacent sequences: A141868 A141869 A141870 * A141872 A141873 A141874

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved