Solutions to p^2 Divides 10^p - 10

Theorem
The known prime numbers $p$ which satisfy the equation:
 * $p^2 \divides \paren {10^p - 10}$

where $\divides$ denotes divisibility, are:


 * $3, 487, 56 \, 598 \, 313$

Also see

 * Definition:Wieferich Prime