A386061 Primes having only {0, 3, 5, 6} as digits.

3, 5, 53, 353, 503, 563, 653, 3533, 5003, 5303, 5333, 5503, 5563, 5653, 6053, 6353, 6553, 6563, 6653, 30553, 33053, 33353, 33503, 33533, 33563, 35053, 35353, 35363, 35533, 35603, 36353, 36563, 36653, 50033, 50053, 50333, 50363, 50503, 53003, 53353, 53503, 53633

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, A260225.

Cf. A000040, A030431, A385776.

Programs

Magma

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

Mathematica

Select[FromDigits/@Tuples[{0,3,5,6},5],PrimeQ]

PARI

primes_with(, 1, [0, 3, 5, 6]) \\ uses function in A385776

Python

print(list(islice(primes_with("0356"), 41))) # uses function/imports in A385776

Extensions

Mathematica program corrected by Harvey P. Dale, Aug 03 2025