A386344 Primes without {3, 9} as digits.

2, 5, 7, 11, 17, 41, 47, 61, 67, 71, 101, 107, 127, 151, 157, 167, 181, 211, 227, 241, 251, 257, 271, 277, 281, 401, 421, 457, 461, 467, 487, 521, 541, 547, 557, 571, 577, 587, 601, 607, 617, 641, 647, 661, 677, 701, 727, 751, 757, 761, 787, 811, 821, 827, 857

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 A038611 and A038617.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 4, 5, 6, 7, 8]];

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 3] == 0 && DigitCount[#, 10, 9] == 0 &]

PARI

primes_with(, 1, [0, 1, 2, 4, 5, 6, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("01245678"), 41))) # uses function/imports in A385776