You Can Solve This USAMO Problem | Math Olympiad Number Theory | How to Start Thinking|USAMO 2024 P1

[@prasoonshrivastava9086]

12:30 there will exist a prime p>n then p does not divide n! suppose p lies b/w divisors Dk and Dk+1, this prime p will make a gap b/w these divisors of more than 1 16:00 inequality can be written as 3=< d+(d-1)k and for k>0 it is true for d>=2 and for k=0 true for d>=3 hence works for small d

[@amaldev5970]

15:56 for k=0, id d>=3 works

[@Cheenta]

What if k is not 0?

[@jortor2932]

3:20 what did u said here

[@Cheenta]

For number theory, combinatorics, algebra, diagram IS the example

[@Pr0xy0171]

For number theory , combinatories, Algebra this ''sort of'' stuff, diagram means example...

[@Expirationnear]

Which years usamo problem is this

[@Cheenta]

USAMO 2024 Problem 1

[@experimentingalgorithm1546]

Hey Cheenta, I am in my college now, but I wanna learn Olympiad Mathematics after my graduation. Will I be eligible in your program?

[@Cheenta]

Sure. However as a college student you may want to learn more exciting stuff related to research. You may join the college math program or research program. Additionally you may also attend olympiad classes for fun.

[@IzazAhmed1232]

Sir i want to learn geometry from you how i can i did

[@Cheenta]

You may check cheenta.com for program related information.

[@suganselva6209]

sir i am a dropper , i feel very bad to have missed the olypiads are there anything i am eligible for