A132234 Primes congruent to 19 (mod 30).

19, 79, 109, 139, 199, 229, 349, 379, 409, 439, 499, 619, 709, 739, 769, 829, 859, 919, 1009, 1039, 1069, 1129, 1249, 1279, 1399, 1429, 1459, 1489, 1549, 1579, 1609, 1669, 1699, 1759, 1789, 1879, 1999, 2029, 2089, 2179, 2239, 2269, 2389, 2539, 2659, 2689

Offset

1,1

Comments

Also primes congruent to 4 (mod 15). - N. J. A. Sloane, Jul 11 2008

Primes ending in 9 with (SOD-1)/3 integer where SOD is sum of digits. - Ki Punches

Links

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

C. K. Caldwell, The Prime Pages.

Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.

Formula

a(n) = A158806(n)*30 + 19. - Chandler

Intersection of A030433 and A002476. - Chandler

Mathematica

Select[Prime[Range[1000]], MemberQ[{19}, Mod[#, 30]]&] (* Vincenzo Librandi, Aug 14 2012 *)
Select[Range[19, 2700, 30], PrimeQ] (* Harvey P. Dale, Dec 26 2014 *)

Prog

(Magma) [p: p in PrimesUpTo(3000) | p mod 30 eq 19 ]; // Vincenzo Librandi, Aug 14 2012
(PARI) is(n)=isprime(n) && n%30==19 \\ Charles R Greathouse IV, Jul 01 2016

Crossrefs

Cf. A000040, A039949, A132230-A132236.

Sequence in context: A213832 A350194 A372757 * A074822 A139871 A142789

Adjacent sequences: A132231 A132232 A132233 * A132235 A132236 A132237

Keyword

nonn,easy

Author

Omar E. Pol, Aug 15 2007

Extensions

Extended by Ray Chandler, Apr 07 2009

Status

approved