A386173 Primes having only {3, 4, 6, 7} as digits.

3, 7, 37, 43, 47, 67, 73, 337, 347, 367, 373, 433, 443, 463, 467, 643, 647, 673, 677, 733, 743, 773, 3343, 3347, 3373, 3433, 3463, 3467, 3637, 3643, 3673, 3677, 3733, 3767, 4337, 4363, 4373, 4447, 4463, 4637, 4643, 4663, 4673, 4733, 6337, 6343, 6367, 6373, 6473

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, A199347, A260380, A385794.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 6, 7]];

Mathematica

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

PARI

primes_with(, 1, [3, 4, 6, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("3467"), 41))) # uses function/imports in A385776