The prime P=13 reverses to the prime 31, and its square 169 reverses to 961, which is the square of 31.

Find additional examples where R(P)^2 = R(P^2).

Extra credit for any solution containing a digit larger than 3.

Notes:
. No palindromes like 101 or 10201.
. No modification of an existing solution by stuffing it with zeros, such as 113 modified to 1103 or 11003.

This was a good puzzle for Halloween because it is 10-31, and 1031 and 1301 are both prime. 1031^2=1062961, the reverse of 1301^2=1692601.

Posted by Math Man on 2023-11-01 17:49:23