A386197 Primes having only {5, 6, 7, 9} as digits.

5, 7, 59, 67, 79, 97, 557, 569, 577, 599, 659, 677, 757, 769, 797, 967, 977, 997, 5557, 5569, 5657, 5659, 5669, 5779, 6569, 6577, 6599, 6659, 6679, 6779, 6959, 6967, 6977, 6997, 7559, 7577, 7669, 7699, 7757, 7759, 9677, 9679, 9697, 9767, 9769, 9967, 55579, 55667

Offset: 1

Author

Jason Bard, Jul 18 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 A260829, A260831, A261184, A385797.

Cf. A000040, A106111, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [5, 6, 7, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{5, 6, 7, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [5, 6, 7, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("5679"), 41))) # uses function/imports in A385776