A386180 Primes having only {3, 5, 6, 9} as digits.

3, 5, 53, 59, 353, 359, 563, 569, 593, 599, 653, 659, 953, 3359, 3533, 3539, 3559, 3593, 3659, 5333, 5393, 5399, 5563, 5569, 5639, 5653, 5659, 5669, 5693, 5939, 5953, 6353, 6359, 6553, 6563, 6569, 6599, 6653, 6659, 6959, 9533, 9539, 33353, 33359, 33533, 33563

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 A260225, A260227, A385797.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 5, 6, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{3, 5, 6, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [3, 5, 6, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("3569"), 41))) # uses function/imports in A385776