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 prime is 29 = (8+3)*2 + (9-4)/5 + (1^7)*6, which is just one of many ways of expressing this number.

The maximum prime is 939,524,137 = (2+6)*5 + (4-1)/3 + (8^9)*7.  (I cheated and used an internet applet to check the primality of this number.)

Posted by Jim Keneipp on 2010-03-23 13:20:11