A386096 Primes having only {1, 2, 5, 7} as digits.

2, 5, 7, 11, 17, 71, 127, 151, 157, 211, 227, 251, 257, 271, 277, 521, 557, 571, 577, 727, 751, 757, 1117, 1151, 1171, 1217, 1277, 1511, 1571, 1721, 1777, 2111, 2221, 2251, 2521, 2551, 2557, 2711, 2777, 5171, 5227, 5521, 5527, 5557, 5711, 5717, 7121, 7127, 7151

Offset: 1

Author

Jason Bard, Jul 16 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 A214705, A260828, A260889, A385773.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 2, 5, 7]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 2, 5, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 2, 5, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("1257"), 41))) # uses function/imports in A385776