A386064 Primes having only {0, 3, 5, 9} as digits.

3, 5, 53, 59, 353, 359, 503, 509, 593, 599, 953, 3359, 3533, 3539, 3559, 3593, 5003, 5009, 5039, 5059, 5099, 5303, 5309, 5333, 5393, 5399, 5503, 5903, 5939, 5953, 9059, 9533, 9539, 30059, 30509, 30539, 30553, 30559, 30593, 33053, 33353, 33359, 33503, 33533, 33599

Offset: 1

Author

Jason Bard, Jul 15 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 A260223, A260227, A385769.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 5, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 3, 5, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 3, 5, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0359"), 41))) # uses function/imports in A385776