A386162 Primes having only {2, 5, 7, 8} as digits.

2, 5, 7, 227, 257, 277, 557, 577, 587, 727, 757, 787, 827, 857, 877, 887, 2287, 2557, 2777, 2857, 2887, 5227, 5527, 5557, 5827, 5857, 7577, 7727, 7757, 7877, 8287, 8527, 8887, 22277, 22727, 22777, 22787, 22877, 25577, 27277, 27527, 27827, 28277, 52727, 52757

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, A260830, A385789.

Cf. A000040, A030432, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 5, 7, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 5, 7, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 5, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("2578"), 41))) # uses function/imports in A385776