A214703 Primes that contain only the digits (2, 3, 5).

2, 3, 5, 23, 53, 223, 233, 353, 523, 2333, 3253, 3323, 3533, 5233, 5323, 5333, 23333, 25253, 25523, 32233, 32323, 32353, 32533, 33223, 33353, 33533, 35323, 35353, 35533, 52223, 52253, 52553, 53233, 53323, 53353, 55333, 222323, 222533, 222553, 223253, 225223

Offset

1,1

Comments

The digits are prime numbers excluding 7.

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Vincenzo Librandi)

Mathematica

Flatten[Table[Select[FromDigits/@Tuples[{2, 3, 5}, n], PrimeQ], {n, 7}]]

Prog

(Magma) [p: p in PrimesUpTo(300000) | Set(Intseq(p)) subset [2, 3, 5]];
(Python)
from sympy import isprime
from itertools import count, islice, product
def agen(): yield from (k for d in count(1) for k in (int("".join(p)) for p in product("235", repeat=d)) if isprime(k))
print(list(islice(agen(), 41))) # Michael S. Branicky, Dec 04 2022

Crossrefs

Subsequence of A019546.

Cf. A087363 (primes with only prime digits excluding 2).

Sequence in context: A153477 A080016 A171432 * A327700 A182976 A042363

Adjacent sequences: A214700 A214701 A214702 * A214704 A214705 A214706

Keyword

nonn,base,easy

Author

Vincenzo Librandi, Jul 28 2012

Status

approved