A386112 Primes having only {1, 3, 5, 8} as digits.

3, 5, 11, 13, 31, 53, 83, 113, 131, 151, 181, 311, 313, 331, 353, 383, 811, 853, 881, 883, 1151, 1153, 1181, 1381, 1511, 1531, 1553, 1583, 1811, 1831, 3181, 3313, 3331, 3511, 3533, 3581, 3583, 3833, 3851, 3853, 3881, 5113, 5153, 5333, 5351, 5381, 5531, 5581, 5813

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 A260224, A260226, A385778, A385780.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 3, 5, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 3, 5, 8}, n], PrimeQ], {n, 7}]]

PARI

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

Python

print(list(islice(primes_with("1358"), 41))) # uses function/imports in A385776