A030096 Primes whose digits are all odd.

3, 5, 7, 11, 13, 17, 19, 31, 37, 53, 59, 71, 73, 79, 97, 113, 131, 137, 139, 151, 157, 173, 179, 191, 193, 197, 199, 311, 313, 317, 331, 337, 353, 359, 373, 379, 397, 557, 571, 577, 593, 599, 719, 733, 739, 751, 757, 773, 797, 911, 919, 937, 953, 971, 977, 991

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000 (terms 1..1000 from T. D. Noe)

Mathematica

Select[Prime[Range[500]], And@@OddQ[IntegerDigits[#]]&] (* Harvey P. Dale, Jan 28 2013 *)

Prog

(Haskell)
a030096 n = a030096_list !! (n-1)
a030096_list = filter f a000040_list where
   f x = odd d && (x < 10 || f x') where (x', d) = divMod x 10
-- Reinhard Zumkeller, Apr 07 2014, Jan 29 2013
(PARI) is(n)=isprime(n) && #setintersect([0, 2, 4, 6, 8], Set(digits(n)))==0 \\ Charles R Greathouse IV, Feb 07 2017
(Magma) [p: p in PrimesUpTo(1000) | forall{d: d in [0, 2, 4, 6, 8] | d notin Set(Intseq(p))}]; // Vincenzo Librandi, Apr 29 2019

Crossrefs

Intersection of A000040 and A014261. Subsequence of A066640 and hence A014261. Subsequence of A038604. A091633 is a subsequence.

Cf. A076704 = odd-digit prime powers of prime numbers; A091296 = odd-digit semiprimes; A000040 = prime numbers; A001358 = semiprimes.

Sequence in context: A269326 A163422 A155055 * A045394 A264030 A070739

Adjacent sequences: A030093 A030094 A030095 * A030097 A030098 A030099

Keyword

nonn,base,nice

Author

Patrick De Geest

Extensions

Edited by N. J. A. Sloane at the suggestion of T. D. Noe and Jonathan Vos Post, Sep 15 2007

Status

approved