11.2 - Uniqueness Proof of the CRT
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Practice Questions
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What is Euclid's Lemma?
💡 Hint: Think about primes and their properties.
Explain divisibility in simple terms.
💡 Hint: Consider how many times one number fits into another.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Euclid's Lemma state?
💡 Hint: Think about the definition of prime numbers.
True or False: The Chinese Remainder Theorem guarantees unique solutions under all modulus conditions.
💡 Hint: Consider what kind of moduli we discussed.
1 more question available
Challenge Problems
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Demonstrate through an example why Euclid's Lemma holds true by picking random integers and checking their products.
💡 Hint: Use simple calculations to verify your findings.
Find the unique solution of the following system: x ≡ 1 (mod 12), x ≡ 3 (mod 18).
💡 Hint: Test values sequentially based on given equations.
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