A four digit number is squared to form an eight digit number. The center four digits of that square form the four digit number. Find all possible four digit numbers.

(If 'abcd' was the four digit number, then the eight digit number would look like 'wxabcdyz'.)

I only found two ... but nothing slicker than a computer search to find them (sorry)

3792 and 7600

Posted by owl on 2004-11-28 16:13:01