A045414 Primes congruent to {0, 3} mod 5.

3, 5, 13, 23, 43, 53, 73, 83, 103, 113, 163, 173, 193, 223, 233, 263, 283, 293, 313, 353, 373, 383, 433, 443, 463, 503, 523, 563, 593, 613, 643, 653, 673, 683, 733, 743, 773, 823, 853, 863, 883, 953, 983, 1013, 1033, 1063, 1093, 1103, 1123, 1153, 1163, 1193

Offset

1,1

Comments

Because 5 is the only prime congruent to zero mod 5, it is far more efficient to insert 5 and search only for primes congruent to 3 mod 5. - Harvey P. Dale, Jun 24 2017

Links

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

Mathematica

Select[Prime@Range[200], MemberQ[{0, 3}, Mod[ #, 5]] &] (* Ray Chandler, Nov 07 2006 *)
Insert[Select[Prime[Range[200]], Mod[#, 5]==3&], 5, 2] (* See comment above *) (* Harvey P. Dale, Jun 24 2017 *)

Prog

(Magma) [ p: p in PrimesUpTo(1200) | p mod 5 in {0, 3} ]; // Vincenzo Librandi, Aug 12 2012

Crossrefs

Same as A030431 with addition of primes congruent to 0 mod 5, i.e., 5.

Cf. A000040.

Sequence in context: A104222 A309703 A240070 * A089067 A339888 A026733

Adjacent sequences: A045411 A045412 A045413 * A045415 A045416 A045417

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Extended by Ray Chandler, Nov 07 2006

Status

approved