Number Theory

    

Why Perfect Squares Cannot Make a Perfect Square

Authors: Lincoln French

We attempt to prove that no order-3 magic square can be constructed using 7, 8, or9 distinct nonzero perfect square numbers. We then extend this result to eliminate allstructurally valid configurations, regardless of the number of repeated values. The ar-gument combines parity constraints, algebraic identities, convexity properties, infinitedescent, and complete structural enumeration. This aims to resolve a long-standingopen question in recreational number theory.

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2025-03-21 21:02:36
[v2] 2025-04-04 13:13:48

Unique-IP document downloads: 470 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus