A179336 Primes containing at least one prime digit in base 10.

2, 3, 5, 7, 13, 17, 23, 29, 31, 37, 43, 47, 53, 59, 67, 71, 73, 79, 83, 97, 103, 107, 113, 127, 131, 137, 139, 151, 157, 163, 167, 173, 179, 193, 197, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337

Offset: 1

Author

Reinhard Zumkeller, Jul 11 2010

Keywords

• base
• nonn

Comments

a(n) = A080608(n) for n<28; A080608 is a subsequence;

A179335(n) < 10 iff prime(n) is in this sequence;

A109066(n) > 0 iff prime(n) is in this sequence. [Corrected by M. F. Hasler, Aug 27 2012]

Links

• R. Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Intersection of A118950 and A000040; relative complement A000040 \ A034844.

Cf. A019546, A108419.

Programs

Haskell

a179336 n = a179336_list !! (n-1)
a179336_list = filter (any (`elem` "2357") . show ) a000040_list
-- Reinhard Zumkeller, Jul 19 2011

Formula

a(n) ~ n log n. - Charles R Greathouse IV, Nov 01 2022