Reply to post: Re: Nice.

Finally! A solution to 42 – the Answer to the Ultimate Question of Life, The Universe, and Everything

Anonymous Coward
Headmaster

Re: Nice.

Fermat's Last Theorem required a and b (and therefore c) to be positive integers greater than zero, and n to be greater than two.

I realised some years ago that the general theorem which states that the following has no solution:

a^n + b^n = c^n

can be simplified to the following true algorithm:

(a-1)^n + a^n < (a+1)^n

for all n greater than two.

Which I would assume (I'm no mathematician) is easier to prove in a mathematical sense than the original theorem. Which would then also prove Fermat.

(I like to think this is the simple proof Fermat alluded to in his infamous margin, but I guess we'll never know.)

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