A386040 Primes having only {0, 1, 8, 9} as digits.

11, 19, 89, 101, 109, 181, 191, 199, 809, 811, 881, 911, 919, 991, 1009, 1019, 1091, 1109, 1181, 1801, 1811, 1889, 1901, 1999, 8009, 8011, 8081, 8089, 8101, 8111, 8191, 8819, 8999, 9001, 9011, 9091, 9109, 9181, 9199, 9811, 9901, 10009, 10091, 10099, 10111, 10181

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 A061247, A199329, A385783.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 8, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 8, 9}, n], PrimeQ]

PARI

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

Python

print(list(islice(primes_with("0189"), 41))) # uses function/imports in A385776