A386174 Primes having only {3, 4, 6, 8} as digits.

3, 43, 83, 383, 433, 443, 463, 643, 683, 863, 883, 3343, 3433, 3463, 3643, 3833, 3863, 4363, 4463, 4483, 4643, 4663, 6343, 6833, 6863, 6883, 8363, 8443, 8663, 8863, 33343, 33863, 34483, 34843, 34883, 36343, 36383, 36433, 36643, 36683, 36833, 38333, 38833, 43633

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 A199346, A199348, A385791.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 6, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 4, 6, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 4, 6, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("3468"), 41))) # uses function/imports in A385776