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

Home > Numbers
A square 2 (Posted on 2022-11-26) Difficulty: 3 of 5
A number AABCBC is the square of an integer. Find all possible values of AABCBC.

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts More than expected | Comment 4 of 8 |
1/100 of all numbers with more than 5 digits end with the BCBC pattern.  There are only 70 squares that fit the AA**** pattern (So few that I solved the problem by just scanning a table on my calculator.)  

We would expect to have zero or maybe 1 number to fit the pattern and yet there are 3.  

The probability of 3 or more such numbers if they were random is about 0.0333 so something more is going on here.

  Posted by Jer on 2022-11-26 12:48:11
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information