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

Home > Numbers
2 neighbours create a square (Posted on 2021-08-19) Difficulty: 3 of 5
Concatenating two consecutive integers 183 and 184
we get a six-digit number 183184, equalling square of 428.
List similar pairs, below 500,000 (final product).

How about the same task with a pair of a consecutve numbers
in a decreasing order?
Please provide a similar list (same constraints).

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution + | Comment 1 of 9
It was relatively easy to use Google Sheets to go beyond the boundaries of the problem, so I did.  I also allowed leading zeros, which isn't strictly concatenating.

Two digits, descending:
91^2=8281

Three digits, ascending:
155^2=024025
274^2=075076
428^2=183184
573^2=328329
727^2=528529
846^2=715716

Four digits, ascending
2191^2=04800481
7810^2=60996100

Four digits, descending
922^2=00850084
9079^2=82428241
9901^2=98029801




  Posted by Jer on 2021-08-19 09:50:15
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 (8)
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