A386153 Primes having only {2, 4, 5, 7} as digits.

2, 5, 7, 47, 227, 257, 277, 457, 547, 557, 577, 727, 757, 2447, 2477, 2557, 2777, 4447, 4457, 4547, 5227, 5477, 5527, 5557, 7247, 7457, 7477, 7547, 7577, 7727, 7757, 22247, 22277, 22447, 22727, 22777, 24247, 24527, 24547, 25247, 25447, 25457, 25577, 25747, 27277

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 A214705, A217039, A385784.

Cf. A000040, A030432, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 4, 5, 7]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 4, 5, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 4, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("2457"), 41))) # uses function/imports in A385776