A386044 Primes having only {0, 2, 3, 7} as digits.

2, 3, 7, 23, 37, 73, 223, 227, 233, 277, 307, 337, 373, 727, 733, 773, 2003, 2027, 2203, 2207, 2237, 2273, 2333, 2377, 2707, 2777, 3023, 3037, 3203, 3307, 3323, 3373, 3727, 3733, 7027, 7207, 7237, 7307, 7333, 7703, 7723, 7727, 20023, 20233, 20323, 20327, 20333

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 A214704, A260125, A261267.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 3, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 3, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 3, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0237"), 41))) # uses function/imports in A385776