A386046 Primes having only {0, 2, 3, 9} as digits.

2, 3, 23, 29, 223, 229, 233, 239, 293, 929, 2003, 2029, 2039, 2099, 2203, 2239, 2293, 2309, 2333, 2339, 2393, 2399, 2903, 2909, 2939, 2999, 3023, 3203, 3209, 3229, 3299, 3323, 3329, 3923, 3929, 9029, 9203, 9209, 9239, 9293, 9323, 9923, 9929, 20023, 20029, 20233

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, A260128, A261268.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 3, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 3, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 3, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0239"), 41))) # uses function/imports in A385776