

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.


0




OFFSET

1,1


COMMENTS

a(6) > 10^10.


LINKS



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



KEYWORD

nonn,base,more


AUTHOR



STATUS

approved



