perplexus.info :: Numbers : Singular Squares II

Home > Numbers

Singular Squares II (Posted on 2022-08-06)

A duodecimal perfect square N has strictly ascending digits from left to right.
Determine the maximum value of N.

How about the maximum value of N when it has strictly descending duodecimal digits from left to right.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Observation

Comment 3 of 3 |

There are more members of the list of descending than of ascending.

This isn't surprising if you consider the last digits of duodecimal squares of the numbers 0 through B:

0,1,4,9,4,1,0,1,4,9,4,1

Posted by Jer on 2022-08-06 14:37:55

Please log in:

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

Chatterbox:


perplexus dot info