A385798 Primes having only {5, 8, 9} as digits.

5, 59, 89, 599, 859, 8599, 8999, 9859, 55589, 55889, 58889, 59999, 85889, 85999, 88589, 89599, 89899, 89959, 89989, 95959, 95989, 98899, 98999, 99559, 99859, 99989, 555589, 558599, 559859, 585889, 585899, 585989, 589859, 598999, 599899, 599959, 599999, 855889

Offset: 1

Author

Jason Bard, Jul 14 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 A020468, A020472.

Cf. A000040, A030433, A385776.

Programs

Magma

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

Mathematica

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

PARI

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

Python

print(list(islice(primes_with("589"), 41))) # uses function/imports in A385776