A347200 Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number, and for each digit pair (d_i, d_j), dropping all the digits d_i and all the digits d_j from p also produces a prime number. Leading 0's are not allowed.

1531, 2113, 2131, 2311, 10531

Offset

1,1

Comments

a(6) > 10^10.

a(6) <= 2111111111111111111111113 (25 digits). - Jon E. Schoenfield, Aug 22 2021

Links

Table of n, a(n) for n=1..5.

Example

With 2113, omitting all instances of 1's gives 23, 2's gives 113, 3's gives 211, 1's and 2's gives 3, 1's and 3's gives 2, and 2's and 3's gives 11. All of these are prime numbers.

Crossrefs

Cf. A057876.

Sequence in context: A333721 A030061 A122707 * A057327 A057328 A110022

Adjacent sequences: A347197 A347198 A347199 * A347201 A347202 A347203

Keyword

nonn,base,more

Author

Musab Akbas, Aug 22 2021

Status

approved