A386055 Primes having only {0, 2, 8, 9} as digits.

2, 29, 89, 229, 809, 829, 929, 2029, 2089, 2099, 2909, 2999, 8009, 8089, 8209, 8929, 8999, 9029, 9209, 9829, 9929, 20029, 20089, 20809, 20899, 20929, 22229, 28099, 28229, 28289, 28909, 29009, 29209, 29989, 80209, 80809, 80909, 80929, 80989, 82009, 82889, 88289

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 A261268, A385772, A385790.

Cf. A000040, A030432, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 8, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 2, 8, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 2, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0289"), 41))) # uses function/imports in A385776