A386085 Primes having only {1, 2, 3, 4} as digits.

2, 3, 11, 13, 23, 31, 41, 43, 113, 131, 211, 223, 233, 241, 311, 313, 331, 421, 431, 433, 443, 1123, 1213, 1223, 1231, 1321, 1423, 1433, 2111, 2113, 2131, 2141, 2143, 2213, 2221, 2243, 2311, 2333, 2341, 2411, 2423, 2441, 3121, 3221, 3313, 3323, 3331, 3343, 3413

Offset: 1

Author

Jason Bard, Jul 16 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 A036956, A036958.

Supersequence of A062350, A199341, A199342, A260267.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 2, 3, 4]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 2, 3, 4}, n], PrimeQ], {n, 7}]]

PARI

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

Python

print(list(islice(primes_with("1234"), 41))) # uses function/imports in A385776