A386139 Primes having only {2, 3, 4, 5} as digits.

2, 3, 5, 23, 43, 53, 223, 233, 353, 433, 443, 523, 2243, 2333, 2423, 2543, 3253, 3323, 3343, 3433, 3533, 4243, 4253, 4423, 4523, 5233, 5323, 5333, 5443, 22343, 22433, 22453, 22543, 23333, 24223, 24443, 24533, 25243, 25253, 25343, 25423, 25453, 25523, 32233, 32323

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 A199342, A199345, A214703.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 4, 5]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 4, 5}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 4, 5]) \\ uses function in A385776

Python

print(list(islice(primes_with("2345"), 41))) # uses function/imports in A385776