A386169 Primes having only {3, 4, 5, 6} as digits.

3, 5, 43, 53, 353, 433, 443, 463, 563, 643, 653, 3343, 3433, 3463, 3533, 3643, 4363, 4463, 4643, 4663, 5333, 5443, 5563, 5653, 6343, 6353, 6553, 6563, 6653, 33343, 33353, 33533, 33563, 34543, 35353, 35363, 35533, 35543, 36343, 36353, 36433, 36563, 36643, 36653

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, A199346, A260225.

Cf. A000040, A030431, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 4, 5, 6}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 4, 5, 6]) \\ uses function in A385776

Python

print(list(islice(primes_with("3456"), 41))) # uses function/imports in A385776