A361822 Primes without {2, 5} as digits.

3, 7, 11, 13, 17, 19, 31, 37, 41, 43, 47, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 139, 149, 163, 167, 173, 179, 181, 191, 193, 197, 199, 307, 311, 313, 317, 331, 337, 347, 349, 367, 373, 379, 383, 389, 397, 401, 409, 419, 431, 433, 439, 443, 449, 461, 463

Offset: 1

Author

Bernard Schott, Mar 26 2023

Keywords

• nonn
• base

Comments

Subsequence of primes that are in A361780.

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 A000040 and A361780.

Cf. A079651 (primes with {1, 4, 7}), A079652 (primes with {0, 3, 6, 8, 9}).

Cf. A247052 (primes with {1, 2, 4, 5, 7}), A034470 (primes with {0, 2, 3, 5, 6, 8, 9}).

Cf. A106116, A154761, A386320 - A386358 (primes without two decimal digits).

Cf. A385776.

Programs

Maple

filter:= proc(n) convert(convert(n,base,10),set) intersect {2,5} = {} end proc:
select(filter, [seq(ithprime(i),i=1..1000)]); # Robert Israel, Mar 26 2023

Mathematica

Select[Prime[Range[100]], AllTrue[IntegerDigits[#], ! MemberQ[{2, 5}, #1] &] &] (* Amiram Eldar, Mar 26 2023 *)

Python

print(list(islice(primes_with("01346789"), 41))) # uses function/imports in A385776. Jason Bard, Jul 20 2025