A386172 Primes having only {3, 4, 5, 9} as digits.

3, 5, 43, 53, 59, 349, 353, 359, 433, 439, 443, 449, 499, 593, 599, 953, 3343, 3359, 3433, 3449, 3499, 3533, 3539, 3559, 3593, 3943, 4339, 4349, 4493, 4549, 4933, 4943, 4993, 4999, 5333, 5393, 5399, 5443, 5449, 5939, 5953, 9343, 9349, 9433, 9439, 9533, 9539, 9949

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 A199345, A199349, A260227, A385793.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 5, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 4, 5, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 4, 5, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("3459"), 41))) # uses function/imports in A385776