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2 cards from this section. Quick, good the night before a test.
What does Bezout's theorem state?
Think about expressing GCD in terms of a linear combination.
What does Euclid's lemma suggest about prime numbers?
Consider prime factors when multiplying numbers.
What does Bezout's theorem relate to?
Look for the theorem's key term.
True or False: Euclid's lemma states a prime must divide all factors in a product.
Remember its definition regarding primes.
Prove the uniqueness of the solution in CRT when given two congruences a ≡ x (mod m) and b ≡ x (mod n) with m and n coprime.
Use the properties we discussed in specifics.
Using a set of numbers with primes, prove that for any number k, if p divides the product of k numbers, p must divide at least one number.
Break it down with induction steps.
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