A386143 Primes having only {2, 3, 4, 9} as digits.

2, 3, 23, 29, 43, 223, 229, 233, 239, 293, 349, 433, 439, 443, 449, 499, 929, 2239, 2243, 2293, 2333, 2339, 2393, 2399, 2423, 2939, 2999, 3229, 3299, 3323, 3329, 3343, 3433, 3449, 3499, 3923, 3929, 3943, 4229, 4243, 4339, 4349, 4423, 4493, 4933, 4943, 4993, 4999

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, A199349, A260128, A385785.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 4, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 4, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 4, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("2349"), 41))) # uses function/imports in A385776