A386062 Primes having only {0, 3, 5, 7} as digits.

3, 5, 7, 37, 53, 73, 307, 337, 353, 373, 503, 557, 577, 733, 757, 773, 3037, 3307, 3373, 3533, 3557, 3733, 5003, 5077, 5303, 5333, 5503, 5507, 5557, 5573, 5737, 7057, 7307, 7333, 7507, 7537, 7573, 7577, 7703, 7753, 7757, 30307, 30553, 30557, 30577, 30703, 30707

Offset: 1

Author

Jason Bard, Jul 15 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 A087363, A260223, A260378, A260827.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 5, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 3, 5, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 3, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0357"), 41))) # uses function/imports in A385776