A142370 Primes congruent to 19 mod 47.

19, 113, 677, 1429, 1523, 1993, 2087, 2557, 3121, 3779, 3967, 4813, 5189, 5471, 5659, 6317, 6599, 7069, 7351, 7727, 8009, 8291, 8573, 8761, 9043, 9137, 9419, 10453, 11299, 11393, 11863, 12239, 13367, 13649, 13931, 14401, 14683, 16187, 16657, 17033, 17597

Offset

1,1

Links

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

Formula

a(n) ~ 46n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{19}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[19, 18000, 47], PrimeQ] (* Harvey P. Dale, Aug 06 2018 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 19]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==19 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A033655 A245753 A164604 * A084751 A041694 A220228

Adjacent sequences: A142367 A142368 A142369 * A142371 A142372 A142373

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved