A386163 Primes having only {2, 5, 7, 9} as digits.

2, 5, 7, 29, 59, 79, 97, 227, 229, 257, 277, 557, 577, 599, 727, 757, 797, 929, 977, 997, 2297, 2557, 2579, 2729, 2777, 2797, 2927, 2957, 2999, 5227, 5279, 5297, 5527, 5557, 5779, 5927, 7229, 7297, 7529, 7559, 7577, 7727, 7757, 7759, 7927, 9227, 9257, 9277, 9929

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, A260831, A261182, A385786.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 5, 7, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 5, 7, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 5, 7, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("2579"), 41))) # uses function/imports in A385776