A386329 Primes without {1, 3} as digits.

2, 5, 7, 29, 47, 59, 67, 79, 89, 97, 227, 229, 257, 269, 277, 409, 449, 457, 467, 479, 487, 499, 509, 547, 557, 569, 577, 587, 599, 607, 647, 659, 677, 709, 727, 757, 769, 787, 797, 809, 827, 829, 857, 859, 877, 887, 907, 929, 947, 967, 977, 997, 2027, 2029, 2069

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 A038611.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 4, 5, 6, 7, 8, 9]];

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 1] == 0 && DigitCount[#, 10, 3] == 0 &]

PARI

primes_with(, 1, [0, 2, 4, 5, 6, 7, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("02456789"), 41))) # uses function/imports in A385776