A386045 Primes having only {0, 2, 3, 8} as digits.

2, 3, 23, 83, 223, 233, 283, 383, 823, 883, 2003, 2083, 2203, 2333, 2383, 2803, 2833, 3023, 3083, 3203, 3323, 3803, 3823, 3833, 8233, 8803, 20023, 20233, 20323, 20333, 22003, 22283, 22303, 23003, 23203, 23333, 23833, 28283, 30203, 30223, 30323, 30803, 32003, 32083

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 A260125, A260127.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 3, 8]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 3, 8}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 3, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("0238"), 41))) # uses function/imports in A385776