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Exercise #6. (a) Use prime factorization to demonstrate that 621 and 82 are relatively primes. Explain. (b) Use the Euclidean Algorithm to demonstrate that

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Exercise #6. (a) Use prime factorization to demonstrate that 621 and 82 are relatively primes. Explain. (b) Use the Euclidean Algorithm to demonstrate that 621 and 82 are relative primes. Show al the steps. (c) The numbers 2221, 2237, 2239 and 2243 are primes. Explain why 2221 - 2243 and 2237 2239 cannot be equal. Do this without evaluating the products, even partially (no arguments based on certain digits in the product being unequal, etc.)

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