Number theory is the branch of mathematics that deals with properties and relationships of numbers, particularly integers. It focuses on studying patterns, divisibility, prime numbers, and other number-related concepts.
Imagine number theory as solving puzzles with numbers. You explore patterns in numbers just like solving puzzles requires finding patterns in pieces to complete the picture.
Prime Numbers: Prime numbers are positive integers greater than 1 that have no divisors other than 1 and themselves.
Modular Arithmetic: Modular arithmetic involves working with remainders when dividing by a fixed integer called the modulus.
Diophantine Equations: Diophantine equations are polynomial equations where only integer solutions are sought.
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