Maths Olympiad Daily Problems
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This channel is created for maths lovers and maths Olympiad aspirants who loves to solve daily some good level of thinking problems in maths.also we discuss those problems https://t.me/mathproblemsdiscussiongroup and we can send our doubts in maths.
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🚀 #ProblemMODP 75
Very interesting question
Solve and send ur solutions:)
Question of the century:
Prove π^π is transcendental.
_______
What is transcendental?
-> Number that cannot be found as a result of an algebraic equation with integer coefficients
Example:- π, e, etc.
_______
Note: You cannot just say by common sense, π^ π is transcendental because π is transcendental. You have to prove this mathematically.
_______
So let
S=1!+2!+3!+4!…………n!
S=(n+1)!-1
So find all positive integers satisfying n
If a is the sum of digit of (7777)^7777 .and b is the sum of digits of a .find b
