A386081 Primes having only {0, 5, 8, 9} as digits.

5, 59, 89, 509, 599, 809, 859, 5009, 5059, 5099, 8009, 8059, 8089, 8599, 8999, 9059, 9859, 50599, 50909, 50989, 55009, 55589, 55889, 58099, 58889, 58909, 59009, 59509, 59809, 59999, 80599, 80809, 80909, 80989, 85009, 85889, 85909, 85999, 88589, 89009, 89599, 89809

Offset: 1

Author

Jason Bard, Jul 16 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 A385769, A385772, A385798.

Cf. A000040, A030433, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 5, 8, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 5, 8, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 5, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0589"), 41))) # uses function/imports in A385776