A361822 Primes that have digits consisting only of line segments {1, 4, 7} or curved digits {0, 3, 6, 8, 9}.

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

1,1

Comments

These primes contain all digits except for 2 and 5.

Subsequence of primes that are in A361780.

Links

Table of n, a(n) for n=1..61.

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 *)

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}).

Sequence in context: A226014 A023236 A038920 * A091633 A166559 A177193

Adjacent sequences: A361819 A361820 A361821 * A361823 A361824 A361825

Keyword

nonn,base

Author

Bernard Schott, Mar 26 2023

Status

approved