A386186 Primes having only {3, 6, 8, 9} as digits.

3, 83, 89, 383, 389, 683, 839, 863, 883, 983, 3389, 3833, 3863, 3889, 3989, 6389, 6689, 6833, 6863, 6869, 6883, 6899, 6983, 8363, 8369, 8389, 8663, 8669, 8689, 8693, 8699, 8839, 8863, 8893, 8933, 8963, 8969, 8999, 9689, 9833, 9839, 9883, 33863, 33889, 33893, 36383

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 A385791, A385792, A385800.

Cf. A000040, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 6, 8, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 6, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("3689"), 41))) # uses function/imports in A385776