A386042 Primes having only {0, 2, 3, 5} as digits.

2, 3, 5, 23, 53, 223, 233, 353, 503, 523, 2003, 2053, 2203, 2333, 2503, 3023, 3203, 3253, 3323, 3533, 5003, 5023, 5233, 5303, 5323, 5333, 5503, 20023, 20233, 20323, 20333, 20353, 20533, 22003, 22303, 23003, 23053, 23203, 23333, 25033, 25253, 25303, 25523, 30203

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 A214703, A260125.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 3, 5]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 3, 5}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 3, 5]) \\ uses function in A385776

Python

print(list(islice(primes_with("0235"), 41))) # uses function/imports in A385776