A386328 Primes without {1, 2} as digits.

3, 5, 7, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 307, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 409, 433, 439, 443, 449, 457, 463, 467, 479, 487, 499, 503, 509, 547, 557, 563, 569, 577, 587, 593, 599, 607, 643, 647, 653, 659, 673, 677, 683, 709

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 A038603 and A038604.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 4, 5, 6, 7, 8, 9]];

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 1] == 0 && DigitCount[#, 10, 2] == 0 &]

PARI

primes_with(, 1, [0, 3, 4, 5, 6, 7, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("03456789"), 41))) # uses function/imports in A385776