A386024 Primes having only {0, 1, 3, 5} as digits.

3, 5, 11, 13, 31, 53, 101, 103, 113, 131, 151, 311, 313, 331, 353, 503, 1013, 1031, 1033, 1051, 1103, 1151, 1153, 1301, 1303, 1511, 1531, 1553, 3001, 3011, 3301, 3313, 3331, 3511, 3533, 5003, 5011, 5051, 5101, 5113, 5153, 5303, 5333, 5351, 5501, 5503, 5531, 10103

Offset: 1

Author

Jason Bard, Jul 14 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

Subsequence of A036958.

Supersequence of A199325, A260044, A260224.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 3, 5]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 3, 5}, n], PrimeQ]

PARI

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

Python

print(list(islice(primes_with("0135"), 41))) # uses function/imports in A385776