A132236 Primes congruent to 29 (mod 30).

29, 59, 89, 149, 179, 239, 269, 359, 389, 419, 449, 479, 509, 569, 599, 659, 719, 809, 839, 929, 1019, 1049, 1109, 1229, 1259, 1289, 1319, 1409, 1439, 1499, 1559, 1619, 1709, 1889, 1949, 1979, 2039, 2069, 2099, 2129, 2309, 2339, 2399, 2459, 2549, 2579

Offset: 1

Author

Omar E. Pol, Aug 15 2007

Keywords

• nonn
• easy

Comments

Primes ending in 9 with (SOD-1)/3 non-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-A132235.

Programs

Magma

[p: p in PrimesUpTo(3000) | p mod 30 eq 29 ]; // Vincenzo Librandi, Aug 14 2012

Mathematica

Select[Prime[Range[400]],Mod[#,30]==29&] (* Harvey P. Dale, Dec 25 2011 *)
Select[Prime[Range[1000]],MemberQ[{29},Mod[#,30]]&] (* Vincenzo Librandi, Aug 14 2012 *)

PARI

is(n)=isprime(n) && n%30==29 \\ Charles R Greathouse IV, Jul 01 2016

Formula

a(n) = A158850(n)*30 + 29. - Chandler

Intersection of A030433 and A007528. - Chandler

Extensions

Extended by Ray Chandler, Apr 07 2009