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HOMEWORK II THEORY OF NUMBERS due on September, 21, 2017, by 3.30pm submit by email to pirutka@cims.nyu.edu
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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