A386111 Primes having only {1, 3, 5, 7} as digits.

3, 5, 7, 11, 13, 17, 31, 37, 53, 71, 73, 113, 131, 137, 151, 157, 173, 311, 313, 317, 331, 337, 353, 373, 557, 571, 577, 733, 751, 757, 773, 1117, 1151, 1153, 1171, 1373, 1511, 1531, 1553, 1571, 1733, 1753, 1777, 3137, 3313, 3331, 3371, 3373, 3511, 3517, 3533

Offset: 1

Author

Jason Bard, Jul 17 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 A087363, A260224, A260379, A260828.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 3, 5, 7]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 3, 5, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 3, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("1357"), 41))) # uses function/imports in A385776