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?

In my recent posting, I posted 327680 for the highest palindrome, but that was just for the ghi factor.  The correct total was 327723, as others have already posted, using the same assignments.

My small dictionary gives 'tautonym" only under some obscure botanical reference, and I decided not to google it.  Factoring to detect large primes (without a software "prime" function) is quite a task (dividing by every prime up to the square root of the target) -- CACM (I believe) recently cited this supporting the negative side of the P=NP issue.

 

Posted by ed bottemiller on 2010-03-23 21:33:10