A386070 Primes having only {0, 4, 5, 7} as digits.

5, 7, 47, 457, 547, 557, 577, 757, 4007, 4057, 4447, 4457, 4507, 4547, 5077, 5407, 5477, 5507, 5557, 7057, 7457, 7477, 7507, 7547, 7577, 7757, 40507, 40577, 44507, 44777, 45007, 45077, 45557, 45707, 45757, 47057, 47407, 47507, 47777, 50047, 50077, 50707, 50777

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 A217039, A260827, A384449.

Cf. A000040, A030432, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 4, 5, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 4, 5, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 4, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0457"), 41))) # uses function/imports in A385776