A386030 Primes having only {0, 1, 4, 8} as digits.

11, 41, 101, 181, 401, 811, 881, 1181, 1481, 1801, 1811, 4001, 4111, 4441, 4481, 4801, 8011, 8081, 8101, 8111, 10111, 10141, 10181, 11411, 11801, 14011, 14081, 14401, 14411, 18041, 18181, 18401, 18481, 40111, 40801, 40841, 41011, 41081, 41141, 41411, 41801, 44041

Offset: 1

Author

Jason Bard, Jul 14 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

Subsequence of A030430.

Supersequence of A061247, A260266, A260270.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 4, 8]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 4, 8}, n], PrimeQ]

PARI

primes_with(, 1, [0, 1, 4, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("0148"), 41))) # uses function/imports in A385776