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Number Theory

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A field of mathematics sometimes called "higher arithmetic" consisting of the study of the properties of integers. Primes and prime factorization are especially important concepts in number theory.

Number theory is a college-level concept and course.

Prerequisites

Prime Factorization: Prime factorization is the factorization of a number into its constituent primes. Also called prime decomposition.
Prime Number: A prime number is a positive integer that has exactly one positive integer divisor other than 1 (i.e., no factors other than 1 and itself). Prime numbers are often simply called primes.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
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  • Perfect Number
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  • Continued Fraction
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  • Prime Counting Function
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  • Convergent
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  • Prime Factorization Algorithms
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  • Diophantine Equation
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  • Prime Number Theorem
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  • Divisor Function
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  • Quadratic Reciprocity Theorem
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  • Euclidean Algorithm
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  • Squarefree
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  • Euler-Mascheroni Constant
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  • Totient Function
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  • Fermat's Last Theorem
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  • Transcendental Number
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  • Partition
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