A386129 Primes having only {1, 5, 6, 7} as digits.

5, 7, 11, 17, 61, 67, 71, 151, 157, 167, 557, 571, 577, 617, 661, 677, 751, 757, 761, 1117, 1151, 1171, 1511, 1567, 1571, 1657, 1667, 1777, 5167, 5171, 5557, 5651, 5657, 5711, 5717, 6151, 6551, 6571, 6577, 6661, 6761, 7151, 7177, 7517, 7561, 7577, 7717, 7757

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 A260828, A260829, A260891, A385779.

Cf. A000040, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 5, 6, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 5, 6, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("1567"), 41))) # uses function/imports in A385776