Determining consecutive integers

Reference no: EM13117801

Question:

a) Show that if x is an odd integer then x^2 = 1 (mod 8).

b) Use the previous fact to show that Fermat's equation x^n + y^n = z^n has no integer solutions when n>/= 2 is even and both x and y are odd,

Reference no: EM13117801

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