A386193 Primes having only {4, 6, 7, 8} as digits.

7, 47, 67, 467, 487, 647, 677, 787, 877, 887, 4447, 4787, 4877, 7477, 7487, 7687, 7867, 7877, 8447, 8467, 8647, 8677, 8747, 8867, 8887, 44647, 44687, 44777, 44867, 44887, 46447, 46477, 46687, 46747, 46867, 46877, 47777, 48487, 48647, 48677, 48767, 48787, 48847

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 A385794, A385795, A385799.

Cf. A000040, A030432, A051416, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{4, 6, 7, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [4, 6, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("4678"), 41))) # uses function/imports in A385776