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Parity

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Parity refers to whether a number is even or odd.

While this may seem highly basic, checking the parity of numbers is often an useful tactic for solving problems, especially with proof by contradictions and casework.

Problems

Introductory

  • Find \gcd(a+b,a^2+b^2) if \gcd(a,b) = 1.

Intermediate

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Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
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