A385795 Primes having only {4, 7, 8} as digits.

7, 47, 487, 787, 877, 887, 4447, 4787, 4877, 7477, 7487, 7877, 8447, 8747, 8887, 44777, 44887, 47777, 48487, 48787, 48847, 74747, 74887, 77447, 77477, 77747, 78487, 78787, 78877, 78887, 84787, 87877, 87887, 88747, 444487, 444877, 444887, 447877, 474787, 474847

Offset: 1

Author

Jason Bard, Jul 13 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

Subsequence of A030432.

Supersequence of A020465, A020470.

Cf. A000040, A385776.

Programs

Magma

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

Mathematica

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

PARI

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

Python

print(list(islice(primes_with("478"), 41))) # uses function/imports in A385776