A386152 Primes having only {2, 3, 8, 9} as digits.

2, 3, 23, 29, 83, 89, 223, 229, 233, 239, 283, 293, 383, 389, 823, 829, 839, 883, 929, 983, 2239, 2293, 2333, 2339, 2383, 2389, 2393, 2399, 2833, 2939, 2999, 3229, 3299, 3323, 3329, 3389, 3823, 3833, 3889, 3923, 3929, 3989, 8233, 8293, 8329, 8389, 8839, 8893

Offset: 1

Author

Jason Bard, Jul 18 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 A260127, A260128, A385790, A385792.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 8, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 8, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("2389"), 41))) # uses function/imports in A385776