A386198 Primes having only {5, 6, 8, 9} as digits.

5, 59, 89, 569, 599, 659, 859, 5569, 5659, 5669, 5689, 5869, 6569, 6599, 6659, 6689, 6869, 6899, 6959, 8599, 8669, 8689, 8699, 8969, 8999, 9689, 9859, 55589, 55889, 56569, 56599, 56659, 56989, 56999, 58699, 58889, 59659, 59669, 59699, 59999, 65599, 65699, 65899

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 A385797, A385798, A385800.

Cf. A000040, A030433, A106111, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [5, 6, 8, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{5, 6, 8, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [5, 6, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("5689"), 41))) # uses function/imports in A385776