Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question

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*?

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