A386145 Primes having only {2, 3, 5, 8} as digits.

2, 3, 5, 23, 53, 83, 223, 233, 283, 353, 383, 523, 823, 853, 883, 2333, 2383, 2833, 3253, 3323, 3533, 3583, 3823, 3833, 3853, 5233, 5323, 5333, 8233, 8353, 22283, 22853, 23333, 23833, 25253, 25523, 25583, 28283, 32233, 32323, 32353, 32533, 32833, 33223, 33353

Offset: 1

Author

Jason Bard, Jul 17 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, A260127, A260226.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 5, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 5, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 5, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("2358"), 41))) # uses function/imports in A385776