A386179 Primes having only {3, 5, 6, 8} as digits.

3, 5, 53, 83, 353, 383, 563, 653, 683, 853, 863, 883, 3533, 3583, 3833, 3853, 3863, 5333, 5563, 5653, 5683, 6353, 6553, 6563, 6653, 6833, 6863, 6883, 8353, 8363, 8563, 8663, 8863, 33353, 33533, 33563, 33863, 35353, 35363, 35533, 35863, 36353, 36383, 36563, 36583

Offset: 1

Author

Jason Bard, Jul 18 2025

Keywords

• nonn
• base
• easy

Links

• Jason Bard, Table of n, a(n) for n = 1..10000
• Index to entries for primes with digits in a given set

Crossrefs

Supersequence of A260225, A260226, A385791.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 5, 6, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 5, 6, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 5, 6, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("3568"), 41))) # uses function/imports in A385776