A386189 Primes having only {4, 5, 6, 9} as digits.

5, 59, 449, 499, 569, 599, 659, 4549, 4649, 4969, 4999, 5449, 5569, 5659, 5669, 6449, 6469, 6569, 6599, 6659, 6949, 6959, 9649, 9949, 44449, 44549, 44699, 44959, 45569, 45599, 45659, 45949, 45959, 46499, 46549, 46559, 46649, 49459, 49499, 49549, 49559, 49669

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 A107666, A385793, A385797.

Cf. A000040, A030433, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{4, 5, 6, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [4, 5, 6, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("4569"), 41))) # uses function/imports in A385776