Question

Asked Oct 16, 2019

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Show directly that for p a prime integer,

p can be written as p=(a)^2 - d(b)^2 then d is a perfect square in Z/pZ.

Hint: Are a and b elements of Z/pZ? Are a and b elements of Z/pZ*?

Step 1

From the given statement, *p* be the prime factor and *p* can be written as *p* = *a*2 – *db*2.

To s...

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