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Dirichlet inverse and the Mobius inversion formula.

Euler's totient function: Properties.

Relation between Mobius function and the Euler's totient function.

Arithmetic Functions: Euler's Totient function.

Past AMC 10 paper discussion with Avi: Part 2.

Arithmetic Functions: Mobius Function

Prove that gcd(a^m-1,a^n-1) = a^gcd(m,n)-1.

If the sum of two numbers is 5264 and their l.c.m. is 200340, find the numbers.

The consecutive terms of the Fibonacci sequence are co-prime.

Inequalities: Linear Optimization Problems Part 2

Inequalities: Linear Optimization Problems Part 1

Recurrence relation: Problem Solving Techniques.

Which one is bigger 63^45 or 33^54? #math #matholympiad #mathematical #olympiads #trending

Past AMC 10 paper discussion with Avi.

Inequalities: A Gentle Introduction Part - 3.

Inequalities: A Gentle Introduction Part - 2.

Inequalities: A Gentle Introduction Part - 1.

Past AMC 10 paper discussion with Avi: Part 1.

Prove that n^4+4 is composite if n is greater than 1.

Prove that for every n, there exists unique a, b such that n = a^2*b, where b is square free.

Outerplanar Graphs.

Dual Graphs: A more detailed study.

Which is larger 2^81 or 3^49? #explore #mathematics #mathematical #olympiad

A problem related to Euler's phi function.