Let x, y, z be a primitive Pythagorean triple with y even. Prove
that x+y ?...
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Let x, y, z be a primitive Pythagorean triple with y even. Provethat x+y ? x?y ? ±1 mod 8.
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Since is even we know thatone of the following must holdNote that this meansThus either or Since isprimitive they have no common divisor other than Thus at least one ofmust be odd else will divide all threeSay isodd then is odd too
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