perplexus.info :: Numbers : Mixed square

Home > Numbers

Mixed square (Posted on 2021-06-18)

Find all positive integers n such that (n² + 11n - 4)n! + 33*13ⁿ + 4 is a perfect square.

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

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

partial answer

| Comment 1 of 5

When n=1, f(n) equals 21^2.

When n=2, f(n) equals 75^2.

In my computer run, testing any n larger than 168 led to a crashed program due to OverflowError.

So, 1 and 2 are solutions, beyond that I am not sure, but apparently no solutions for 2 < n < 169

Posted by Larry on 2021-06-18 12:47:26

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (13)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info