A386063 Primes having only {0, 3, 5, 8} as digits.

3, 5, 53, 83, 353, 383, 503, 853, 883, 3083, 3533, 3583, 3803, 3833, 3853, 5003, 5303, 5333, 5503, 8053, 8353, 8803, 30553, 30803, 30853, 33053, 33083, 33353, 33503, 33533, 35053, 35083, 35353, 35533, 35803, 38053, 38083, 38303, 38333, 38803, 38833, 50033, 50053

Offset: 1

Author

Jason Bard, Jul 15 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 A260223, A260226, A261434.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 5, 8]];

Mathematica

Select[FromDigits /@ Tuples[{0, 3, 5, 8}, n], PrimeQ]

PARI

primes_with(, 1, [0, 3, 5, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("0358"), 41))) # uses function/imports in A385776