A386058 Primes having only {0, 3, 4, 7} as digits.

3, 7, 37, 43, 47, 73, 307, 337, 347, 373, 433, 443, 733, 743, 773, 3037, 3307, 3343, 3347, 3373, 3407, 3433, 3733, 4003, 4007, 4073, 4337, 4373, 4447, 4703, 4733, 7043, 7307, 7333, 7433, 7477, 7703, 30047, 30307, 30347, 30403, 30703, 30707, 30773, 33037, 33073

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, A199347, A260378, A384449.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 4, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 3, 4, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 3, 4, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0347"), 41))) # uses function/imports in A385776