Need help with these two Intro to Elementary Number Theory Homework problems. Consider the congruence5x 504 (mod 1,504),for some integer x. Find the least residue x modulo 1504 satisfying the congruence above or enter -999 if no such integer exists. How many solutions (modulo n =945) does the following linear congruence have?546x357 (mod 945)

Answered: Image /qna-images/answer/9aee0ddc-730c-4976-9f16-a502323cab01.jpg

Answered: Consider the congruence 52 = 504 (mod…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the congruence 52 = 504 (mod 1,504), or some integer x. Find the least residue x modulo 1504 satisfying the congruence above or enter -999 if no such integer exists.