All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Palindromic and Tautonymic III (Posted on 2010-03-23) Difficulty: 3 of 5
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 + (DE)/F + (GH)*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?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
correction | Comment 10 of 11 |

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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information