A386327 Primes without {0, 9} as digits.

2, 3, 5, 7, 11, 13, 17, 23, 31, 37, 41, 43, 47, 53, 61, 67, 71, 73, 83, 113, 127, 131, 137, 151, 157, 163, 167, 173, 181, 211, 223, 227, 233, 241, 251, 257, 263, 271, 277, 281, 283, 311, 313, 317, 331, 337, 347, 353, 367, 373, 383, 421, 431, 433, 443, 457, 461

Offset: 1

Author

Jason Bard, Jul 19 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 A038617 and A038618.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 2, 3, 4, 5, 6, 7, 8]];

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 0] == 0 && DigitCount[#, 10, 9] == 0 &]

PARI

primes_with(, 1, [1, 2, 3, 4, 5, 6, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("12345678"), 41))) # uses function/imports in A385776