A386142 Primes having only {2, 3, 4, 8} as digits.

2, 3, 23, 43, 83, 223, 233, 283, 383, 433, 443, 823, 883, 2243, 2333, 2383, 2423, 2833, 2843, 3323, 3343, 3433, 3823, 3833, 4243, 4283, 4423, 4483, 8233, 8243, 8423, 8443, 22283, 22343, 22433, 22483, 23333, 23833, 24223, 24443, 28283, 28433, 28843, 32233, 32323

Offset: 1

Author

Jason Bard, Jul 17 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 A199342, A199348, A260127.

Cf. A000040, A030431, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 4, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 4, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 4, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("2348"), 41))) # uses function/imports in A385776