No. I won’t give the full details, so as not to spoil it for everyone else, but this follows easily from working mod 4. Are you teaching competition math now? I am preparing for the AMC8 and I think you could really help. I find your videos very useful and really inspiring to see what an expert is able to do.

## One thought on “Is it possible to have the sum of 6 uneven integers squared equal a squared integer?”

No. I won’t give the full details, so as not to spoil it for everyone else, but this follows easily from working mod 4. Are you teaching competition math now? I am preparing for the AMC8 and I think you could really help. I find your videos very useful and really inspiring to see what an expert is able to do.