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

Author

Omar E. Pol, Aug 15 2007

Keywords

• nonn
• easy

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.

Crossrefs

Cf. A000040, A039949, A132230-A132236.

Programs

Magma

[p: p in PrimesUpTo(3000) | p mod 30 eq 19 ]; // Vincenzo Librandi, Aug 14 2012

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 *)

PARI

is(n)=isprime(n) && n%30==19 \\ Charles R Greathouse IV, Jul 01 2016

Formula

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

Intersection of A030433 and A002476. - Chandler

Extensions

Extended by Ray Chandler, Apr 07 2009