Asked Oct 16, 2019

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*?


Expert Answer

Step 1

From the given statement, p be the prime factor and p can be written as p = a2 – db2.

To s...

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