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.

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Chapter2: Second-order Linear Odes
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Need help with these two Intro to Elementary Number Theory Homework problems.

 

Consider the congruence
5x 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.
Transcribed Image Text:Consider the congruence 5x 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)
Transcribed Image Text:How many solutions (modulo n = 945) does the following linear congruence have? 546x357 (mod 945)
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