A386345 Primes without {4, 5} as digits.

2, 3, 7, 11, 13, 17, 19, 23, 29, 31, 37, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 367

Offset: 1

Author

Jason Bard, Jul 20 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

Intersection of A038612 and A038613.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 3, 6, 7, 8, 9]];

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 4] == 0 && DigitCount[#, 10, 5] == 0 &]

PARI

primes_with(, 1, [0, 1, 2, 3, 6, 7, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("01236789"), 41))) # uses function/imports in A385776