A385781 Primes having only {1, 5, 9} as digits.

5, 11, 19, 59, 151, 191, 199, 599, 911, 919, 991, 1151, 1511, 1559, 1951, 1999, 5119, 5519, 5591, 9151, 9199, 9511, 9551, 11119, 11159, 11519, 11551, 11959, 15199, 15511, 15551, 15559, 15919, 15959, 15991, 19559, 19919, 19991, 51151, 51199, 51511, 51551

Offset: 1

Author

Jason Bard, Jul 13 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 A020453, A020457, A020468.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 5, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 5, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 5, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("159"), 41))) # uses function/imports in A385776