A260224 Primes that contain only the digits (1, 3, 5).

3, 5, 11, 13, 31, 53, 113, 131, 151, 311, 313, 331, 353, 1151, 1153, 1511, 1531, 1553, 3313, 3331, 3511, 3533, 5113, 5153, 5333, 5351, 5531, 11113, 11131, 11311, 11351, 11353, 11551, 13151, 13313, 13331, 13513, 13553, 15131, 15313, 15331, 15511, 15551

Offset

1,1

Comments

A020451, A020453 and A020462 are subsequences.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[3 10^3]], Complement[IntegerDigits[#], {3, 5, 1}]=={} &]
Select[Flatten[Table[FromDigits/@Tuples[{1, 3, 5}, n], {n, 5}]], PrimeQ] (* Harvey P. Dale, Mar 03 2020 *)

Prog

(Magma) [p: p in PrimesUpTo(40000) | Set(Intseq(p)) subset [3, 5, 1]];
(Python)
from gmpy2 import is_prime, mpz
from itertools import product
A260224_list = [int(''.join(x)) for n in range(1, 10) for x in product('135', repeat=n) if is_prime(mpz(''.join(x)))] # Chai Wah Wu, Jul 21 2015

Crossrefs

Cf. Similar sequences listed in A260223.

Cf. A020451, A020453, A020462.

Sequence in context: A216553 A250298 A361575 * A105071 A089251 A147568

Adjacent sequences: A260221 A260222 A260223 * A260225 A260226 A260227

Keyword

nonn,easy,base

Author

Vincenzo Librandi, Jul 21 2015

Status

approved