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Number Theory
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Number Theory
1. Divisibility
1.1. Greatest Common Divisor
1.1.1. Important Problems On Greatest Common Divisor
1.2. Expressing Cubes As Differences Of Squares
2. Prime Numbers
2.1. Important Problems On Prime Numbers
2.2. Prime Number Theorem
2.2.1. The Prime Number Theorem Explained With Interpretation
3. Congruence
3.1. Linear Congruence
3.1.1. Important Applications On Linear Congruence
4. Number Theoretic Functions
4.1. Greatest Integer Functions
4.1.1. Divisibility Of Binomial Coefficients
5. Quadratic Reciprocity
5.1. Legendre Symbol
5.1.1. Legendre Symbol And Its Properties
6. Fermats Last Theorem
6.1. Proof Of Fermats Last Theorem
6.2. Pythagorean Triples
6.2.1. Important Problems On Pythagorean Triples
7. Integers As Sum Of Squares
7.1. Sum Of More Than Two Squares
7.1.1. Representation Of Integers As Sums Of Five Nonzero Squares For All Values Greater Than Or Equal To 170
7.2. Sum Of Two Squares
7.2.1. Perfect Squares In Pythagorean Triples
8. Encryption And Decryption
8.1. Linear Cipher
8.1.1. Important Applications On Linear Cipher
8.2. Hill Cipher
8.2.1. Hill Cipher Decryption In Number Theory Step By Step With Example
