A386076 Primes having only {0, 4, 8, 9} as digits.

89, 409, 449, 499, 809, 4049, 4099, 4409, 4889, 4909, 4999, 8009, 8089, 8849, 8999, 9049, 9949, 40009, 40099, 40499, 40849, 40949, 44089, 44449, 44809, 44909, 48049, 48409, 48449, 48809, 48889, 48989, 49009, 49409, 49499, 49999, 80449, 80489, 80809, 80849, 80909

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

Subsequence of A030433.

Supersequence of A385768, A385772, A385796.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 4, 8, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 4, 8, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 4, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0489"), 41))) # uses function/imports in A385776