Post Reply 
OEIS A212558: Proof of Unproven Conjecture? Proven!
12-18-2017, 12:00 PM
Post: #5
RE: OEIS A212558: Proof of Unproven Conjecture?
(12-18-2017 10:21 AM)stored Wrote:  (n - s)^2 = (n + s)^2 - 4 n s = (n + s)^2 - 4 s (n + s) + 4 s^2
(n + s)^2 = (n - s)^2 + 4 n s = (n - s)^2 + 4 s (n - s) + 4 s^2

Then source problem is equivalent
4 s^2 mod (n+s) = 4 s^2 mod (n-s)

This is true for all s, that
4 s^2 < n-s.

Bravo, stored!

A short study in algebra - I hope you enjoyed resolving the question as much as I enjoyed reading your analysis.
Find all posts by this user
Quote this message in a reply
Post Reply 


Messages In This Thread
RE: OEIS A212558: Proof of Unproven Conjecture? - Gerald H - 12-18-2017 12:00 PM



User(s) browsing this thread: 1 Guest(s)