Number Theory
Definition and Basic Properties
Quadratic Non-residues
Examples and Computations
Definition and Notation
Basic Properties
Computational Rules
Multiplicativity
Statement and Proof
Connection to Fermat's Little Theorem
Applications to Quadratic Reciprocity
Quadratic Character of -1
Quadratic Character of 2
Definition and Properties
Relationship to Legendre Symbol
Computational Advantages
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8. Diophantine Equations
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10. Prime Number Theory