A386041 Primes having only {0, 2, 3, 4} as digits.

2, 3, 23, 43, 223, 233, 433, 443, 2003, 2203, 2243, 2333, 2423, 3023, 3203, 3323, 3343, 3433, 4003, 4243, 4423, 20023, 20233, 20323, 20333, 20443, 22003, 22303, 22343, 22433, 23003, 23203, 23333, 24023, 24043, 24203, 24223, 24443, 30203, 30223, 30323, 30403, 32003

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 A199342, A260125.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 3, 4]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 3, 4}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 3, 4]) \\ uses function in A385776

Python

print(list(islice(primes_with("0234"), 41))) # uses function/imports in A385776