Make a list of distinct positive integers that are obtained by assigning a different base ten digit from 1 to 9 to each of the capital letters in this expression.

                            (A+B)*C + (D–E)/F + (G^H)*I

What are the respective minimum and maximum positive palindromes from amongst the elements that correspond to the foregoing list?

As a bonus, what are the respective minimum and maximum positive tautonymic numbers that are included in the list? How about the respective maximum and minimum prime numbers?

The minimum positive palindrome is 33 = (5+9)*2 + (3-7)/4 + (1^8)*6.

The maximum positive palindrome is 327,723 = (6+7)*3 + (9-1)/2 + (4^8)*5.

Posted by Jim Keneipp on 2010-03-23 12:22:12