A386032 Primes having only {0, 1, 5, 7} as digits.

5, 7, 11, 17, 71, 101, 107, 151, 157, 557, 571, 577, 701, 751, 757, 1051, 1117, 1151, 1171, 1511, 1571, 1777, 5011, 5051, 5077, 5101, 5107, 5171, 5501, 5507, 5557, 5701, 5711, 5717, 7001, 7057, 7151, 7177, 7507, 7517, 7577, 7717, 7757, 10007, 10111, 10151, 10177

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 A199325, A199327, A260828.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 5, 7]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 5, 7}, n], PrimeQ]

PARI

primes_with(, 1, [0, 1, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("0157"), 41))) # uses function/imports in A385776