A045457 Primes congruent to {0, 4} mod 5.

5, 19, 29, 59, 79, 89, 109, 139, 149, 179, 199, 229, 239, 269, 349, 359, 379, 389, 409, 419, 439, 449, 479, 499, 509, 569, 599, 619, 659, 709, 719, 739, 769, 809, 829, 839, 859, 919, 929, 1009, 1019, 1039, 1049, 1069, 1109, 1129, 1229, 1249, 1259, 1279

Offset

1,1

Comments

Being a subset of A141158, this is also a subset of the primes of form x^2 - 5*y^2. - Tito Piezas III, Dec 28 2008

Apparently primes p such that 5 | tau(p), where Ramanujan's tau is A000594. - Charles R Greathouse IV, Jul 08 2013

Links

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

Mathematica

Select[Prime@Range[210], MemberQ[{0, 4}, Mod[ #, 5]] &] (* Ray Chandler, Nov 07 2006 *)

Prog

(Magma) [ p: p in PrimesUpTo(1300) | p mod 5 in {0, 4} ]; // Vincenzo Librandi, Aug 13 2012
(PARI) is(n)=n==5 || (n%5==4 && isprime(n)) \\ Charles R Greathouse IV, Jul 08 2013

Crossrefs

Same as A030433 prefixed with 5.

Cf. A000040.

Sequence in context: A115167 A115103 A241043 * A165557 A138242 A163076

Adjacent sequences: A045454 A045455 A045456 * A045458 A045459 A045460

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Extended by Ray Chandler, Nov 07 2006

Status

approved