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

Home > Numbers
Prime Squares (Posted on 2009-04-09) Difficulty: 3 of 5
Consider two 5-digit perfect squares, the first two digits of each of which form a 2-digit prime number, and the last three digits form a 3-digit prime number.

For sake of discussion, let the digits be called ABCDE and VWXYZ. The two squares I'm thinking of can form, from those digits, another 5-digit square: ABXYZ. It is of the same type as the other two as AB is prime as is XYZ.

The use of different letters does not imply that all the letters represent different digits; any two may be the same or different, but the combined square does share its first two digits with those of one of the two original squares and its last three with the last three of the other.

What are the three squares?

See The Solution Submitted by Charlie    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): computer solution (spoiler)Daniel2009-04-09 16:59:59
SolutionSolutionDej Mar2009-04-09 16:48:55
re: computer solution (spoiler)Charlie2009-04-09 12:28:07
computer solution (spoiler)Daniel2009-04-09 11:42:29
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 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information