A386347 Primes without {4, 7} as digits.

2, 3, 5, 11, 13, 19, 23, 29, 31, 53, 59, 61, 83, 89, 101, 103, 109, 113, 131, 139, 151, 163, 181, 191, 193, 199, 211, 223, 229, 233, 239, 251, 263, 269, 281, 283, 293, 311, 313, 331, 353, 359, 383, 389, 503, 509, 521, 523, 563, 569, 593, 599, 601, 613, 619, 631

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 A038615.

Cf. A000040, A020465, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 3, 5, 6, 8, 9]];

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 4] == 0 && DigitCount[#, 10, 7] == 0 &]

PARI

primes_with(, 1, [0, 1, 2, 3, 5, 6, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("01235689"), 41))) # uses function/imports in A385776