A386176 Primes having only {3, 4, 7, 8} as digits.

3, 7, 37, 43, 47, 73, 83, 337, 347, 373, 383, 433, 443, 487, 733, 743, 773, 787, 877, 883, 887, 3343, 3347, 3373, 3433, 3733, 3833, 3847, 3877, 4337, 4373, 4447, 4483, 4733, 4783, 4787, 4877, 7333, 7433, 7477, 7487, 7873, 7877, 7883, 8377, 8387, 8443, 8447, 8737

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 A199347, A199348, A260381, A385795.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 7, 8]];

Mathematica

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

PARI

primes_with(, 1, [3, 4, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("3478"), 41))) # uses function/imports in A385776