A386049 Primes having only {0, 2, 5, 7} as digits.

2, 5, 7, 227, 257, 277, 557, 577, 727, 757, 2027, 2207, 2557, 2707, 2777, 5077, 5227, 5507, 5527, 5557, 7027, 7057, 7207, 7507, 7577, 7727, 7757, 20507, 20707, 22027, 22277, 22727, 22777, 25057, 25577, 27077, 27277, 27527, 50077, 50207, 50227, 50527, 50707, 50777

Offset: 1

Author

Jason Bard, Jul 15 2025

Keywords

• nonn
• base
• easy

Comments

Primes with decimal digits only in the set {0,2} mod 5.

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, A260827, A261267.

Cf. A000040, A030432, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 5, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 5, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0257"), 41))) # uses function/imports in A385776