perplexus.info :: Numbers : 2013 and Perfect Square Settlement

2013 and Perfect Square Settlement (Posted on 2023-06-25)

We know that 2025 = 45². Therefore, 2025 is a perfect square in base ten.

Determine all positive integer value of N greater than 3, for which 2013 _{base N} is a perfect square.

Provide valid reasoning for your answer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required positive integer base >3 is 6.
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
solution	Larry	2023-06-26 11:49:15
solution	xdog	2023-06-26 08:12:21
computer solution	Charlie	2023-06-25 16:42:37

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:


perplexus dot info