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HOMEWORK II THEORY OF NUMBERS due on September, 21, 2017, by 3.30pm submit by email to [email protected]
1. Prove that the product of any three consecutive integers is divisible by 6.
2. Use the Euclidean algorithm to compute gcd(54321,9876).
3. Find one integer solution of the equation 62x+ 34y= 2.
4. Find all integer solutions of the equation 15x+ 33y= 7.
5. Find all integer solutions of the equation 19x+ 99y= 3.
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