k) Prove that x = 5108 = 179 (mod 433) is a solution to the equation x² + 1 = 0 (mod 433), and use it to find x, y such that 433 = x² + y? using Fermat's Descent.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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k) Prove that x =
5108
= 179 (mod 433) is a solution to the equation
x² + 1 = 0 (mod 433), and use it to find x, y such that 433 = x² + y²
using Fermat's Descent.
Transcribed Image Text:k) Prove that x = 5108 = 179 (mod 433) is a solution to the equation x² + 1 = 0 (mod 433), and use it to find x, y such that 433 = x² + y² using Fermat's Descent.
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