Show that no integer u=4n+3 can be written as u = a^2 + b^2 where a,b are integers.
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Hello, Originally Posted by mpryal Show that no integer u=4n+3 can be written as u = a^2 + b^2 where a,b are integers. Fact : For any integer m, Proof : A number m can only be even or odd. If it's even, it can be written m=2k, in which case, If it's odd, it can be written , in which case, Now, is it possible that when and can only ?
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