A386025 Primes having only {0, 1, 3, 7} as digits.

3, 7, 11, 13, 17, 31, 37, 71, 73, 101, 103, 107, 113, 131, 137, 173, 307, 311, 313, 317, 331, 337, 373, 701, 733, 773, 1013, 1031, 1033, 1103, 1117, 1171, 1301, 1303, 1307, 1373, 1733, 1777, 3001, 3011, 3037, 3137, 3301, 3307, 3313, 3331, 3371, 3373, 3701, 3733

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

Supersequence of A199327, A260044, A260379.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 3, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 3, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 1, 3, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0137"), 41))) # uses function/imports in A385776