How to prepare for Number Theory at Math Competitions and the International Math Olympiad?

The list of topics a number theory book has to cover:
Divisibility
Remainders and Modular Arithmetic
Fundamental Theory of Arithmetic
Primes
Euclidean Algorithm
Residues

Quadratic Residues
Euler's Totient Function
Fermat's Little theorem
Bounding and Squeezing
Chinese Remainder Theorem
Multiplicative Inverse
Greatest Common Denominator
Least Common Multiple

The two books I mentioned were:
- "Olympiad Number Theory Through Challenging Problems" by Justin Stevens
- "104 Number Theory Problems" by Titu Andreescu, Dorin Andrica, Zuming Feng

[laurynastruskauskas]

This channel is a gold mind Im really greatful for finding it. I haven't been taking math extremely seriously I usually did from 3 to 5hours a week consistently and I have improved very much. A couple of weeks ago I placed 1st in my national maths olympiad and althought the problems were favourable for me with hard combinatorics and algebra and easy geometry it still showed me that I can achieve smth in math. Im a 10th grader but I skipped a grade so Im 15 and I still have two years in student math olympiads. If I managed to do this much in a year I think I might even place something in the IMO in a couple of years if I dedicate more time to math. Thanks for this amazing and informative content.

[ShefsofProblemSolving]

The list of topics a number theory book has to cover:
Divisibility
Remainders and Modular Arithmetic
Fundamental Theory of Arithmetic
Primes
Euclidean Algorithm
Residues
Quadratic Residues
Euler's Totient Function
Fermat's Little theorem
Bounding and Squeezing
Chinese Remainder Theorem
Multiplicative Inverse
Greatest Common Denominator
Least Common Multiple


The two books I mentioned were:
-> "Olympiad Number Theory Through Challenging Problems" by Justin Stevens
-> "104 Number Theory Problems" by Titu Andreescu, Dorin Andrica, Zuming Feng

[piandinfinity]

Elegant. Although I'm in college now and not anymore eligible for the School math olympiads, but my passion for learning more about math (especially number theory) is e^x, x->∞.

[zadsar]

Great video! Will you do similar ones for algebra, combinatorics and/or geometry?

[twistzzzz]

Sir, is it possible for me for winning math competition for high school (AMO) in Asia? I only get bronze medal a year a go in SASMO. And also sir, do u know what website to train my math skill?

[ishansahasec-broll-]

sir please teach the concepts of olympiads structurally without solving random problems please
teach nt, geometry and algebra combinatorics accordingly

[Miguel-xdxp]

Will you do your next videos on a blackboard? :0

[AtulKumar-qzpn]

I have Elementary number theory by David M Burton us this good ?

[thearitroshome]

Does 104 Problems in Number Theory have Theory coz I intend to self learn?

[sarthak]

I guess titu Nt structures is also very good

[neomoguel]

What do you recommend to someone that wants to start learning number theory olympiad but doesn’t know where to start

[castor]

Me after studying congruence modulo and other stuffs number theory complete😅😅