# Some $$a^n \pm b^n$$ Problems in Number Theory

by Mihai Manea (Harvard University)

Mathematics Magazine
April, 2006

Subject classification(s): Algebra and Number Theory | Number Theory
Applicable Course(s): 4.3 Number Theory

Several tricks useful in mathematical competitions are discussed.

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Capsule Course Topic(s):
Number Theory | Divisibility
Number Theory | Numbers With Special Forms or Properties, Sums of Powers
Number Theory | Primes and Composites, Factorization