A+B=C Conjecture And Fermat’s Last Theorem

1/17/26

That is like a pythagorean theorem, but I don't think a+b=c is the same as a^n+b^n=c^n. Basic algebra shows that you can't transpose exponents through addition. You can through multiplication, but they need to retain the same coefficient. You did create something like a pythagorean theorem, but in things like Heron's Formula, you see how when you multiply the numbers, it becomes different, and stops working. So, I think it's basic algebra to say that those two equations are different, and can't have the same number theory applied to them. Just because of how exponents work.

I also think to derive formulas, you have to do them through observing structures. A math formula is like a sentence. It describes a shape of some kind--which is why we use them in science--so I think the logic of a^n+b^n=c^n where n equals 2 is describing a specific pattern, where we discovered it through looking at a square. What a^3+b^3=c^3 would be, we don't know, but the logic is still valid, but it describes a specific shape. That's all our formulas are doing.

1/18/26

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I mean, if it's just saying arithmetic works, we just know it does. It's actually slightly different than a^n+b^n=c^n, if you want to get into the nitty gritty. But, if it's just validating the logic of algebra, we already knew this. It's just something we already knew. It's actually counterproductive to say we don't. You'd invalidate all of math doing that. And I think math works well enough, that we know it's valid.

But generally, exponentiation is a bit different than addition. Is what I'm saying. When you exponentiate, you do something a little bit different. Just like all four operations are different from one another. But, we know they work with absolute certainty, because they produce testable results. It's just something like division, where we see math work in all places, we know it doesn't need to be changed and take the leap into trusting it.

1/20/26

a + b = c has something to do with prime numbers. It's not about validating addition or arithmetic. I have no idea what it means. And I'm okay with that.