perplexus.info :: Numbers : Center Six Digits

Center Six Digits (Posted on 2023-07-15)

A 6-digit positive integer N is squared to form a 12-digit number. The center six digits of N^2 constitute N. Determine all possible values of N.

(If 'abcdef' was the 6-digit number, then the 12-digit number would look like 'uvwabcdefxyz'.)

Will there be any further solution(s) if N contained a leading zero?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

376000-> 141376000000 495475-> 245495475625 625000-> 390625000000 971582 -> 943971582724
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	petrophysicsnet	2023-07-20 02:16:35
my program	Charlie	2023-07-15 10:33:28
Solution two ways	Larry	2023-07-15 07:57:26

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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info