A386060 Primes having only {0, 3, 4, 9} as digits.

3, 43, 349, 409, 433, 439, 443, 449, 499, 3049, 3343, 3433, 3449, 3499, 3943, 4003, 4049, 4093, 4099, 4339, 4349, 4409, 4493, 4903, 4909, 4933, 4943, 4993, 4999, 9043, 9049, 9343, 9349, 9403, 9433, 9439, 9949, 30403, 30449, 30493, 30949, 33049, 33343, 33349, 33403

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 A199340, A199349, A385768.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 4, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 3, 4, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 3, 4, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0349"), 41))) # uses function/imports in A385776