A386196 Primes having only {5, 6, 7, 8} as digits.

5, 7, 67, 557, 577, 587, 677, 757, 787, 857, 877, 887, 5557, 5657, 5857, 5867, 6577, 6857, 7577, 7687, 7757, 7867, 7877, 8677, 8867, 8887, 55667, 55787, 56687, 56767, 56857, 57557, 57587, 57667, 57787, 58567, 58657, 58687, 58757, 58787, 65557, 65587, 65657, 65677

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 A260829, A260830, A385799.

Cf. A000040, A030432, A106111, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [5, 6, 7, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{5, 6, 7, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [5, 6, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("5678"), 41))) # uses function/imports in A385776