A386026 Primes having only {0, 1, 3, 9} as digits.

3, 11, 13, 19, 31, 101, 103, 109, 113, 131, 139, 191, 193, 199, 311, 313, 331, 911, 919, 991, 1009, 1013, 1019, 1031, 1033, 1039, 1091, 1093, 1103, 1109, 1193, 1301, 1303, 1319, 1399, 1901, 1913, 1931, 1933, 1993, 1999, 3001, 3011, 3019, 3109, 3119, 3191, 3301

Offset: 1

Author

Jason Bard, Jul 14 2025

Keywords

• nonn
• base
• easy

Comments

Primes that only contain digits that are 0 or integer powers of 3.

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 A199329, A260044, A329761.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 3, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 3, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 1, 3, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0139"), 41))) # uses function/imports in A385776