A386071 Primes having only {0, 4, 5, 9} as digits.

5, 59, 409, 449, 499, 509, 599, 4049, 4099, 4409, 4549, 4909, 4999, 5009, 5059, 5099, 5449, 9049, 9059, 9949, 40009, 40099, 40459, 40499, 40559, 40949, 44059, 44449, 44549, 44909, 44959, 45599, 45949, 45959, 49009, 49409, 49459, 49499, 49549, 49559, 49999, 50459

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 A385758, A385769, A385793.

Cf. A000040, A030433, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 4, 5, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 4, 5, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 4, 5, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0459"), 41))) # uses function/imports in A385776