A386175 Primes having only {3, 4, 6, 9} as digits.

3, 43, 349, 433, 439, 443, 449, 463, 499, 643, 3343, 3433, 3449, 3463, 3469, 3499, 3643, 3943, 4339, 4349, 4363, 4463, 4493, 4639, 4643, 4649, 4663, 4933, 4943, 4969, 4993, 4999, 6343, 6449, 6469, 6949, 9343, 9349, 9433, 9439, 9463, 9643, 9649, 9949, 33343, 33349

Offset: 1

Author

Jason Bard, Jul 18 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 A107666, A199346, A199349.

Cf. A000040, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 4, 6, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 4, 6, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("3469"), 41))) # uses function/imports in A385776