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

Home > Numbers
Pandigital and square (Posted on 2017-04-15) Difficulty: 3 of 5
There are 87 square numbers that use every digit (base 10, no leading zeroes)) exactly once.

List them.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Pencil and Paper solution (spoiler) | Comment 4 of 6 |
(In reply to re: Pencil and Paper solution (spoiler) by broll)

Interesting question, broll.


One observation:

A necessary condition for a number to be pandigital is that it must = 0 mod 9.  Well, only 1/9 of all integers equal 0 mod 9, but fully 1/3 of all squares equal 0 mod 9.  So I would not be surprised if there were 67 pandigitals in the range.

Maybe the difference between 67 expected and 87 actual is not significant.

  Posted by Steve Herman on 2017-04-16 16:53:29
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information