Solving the First IMO Question Ever | Prove (14n+3)/(21n+4) is Irreducible | Number Theory Question
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Solving the First IMO Question Ever | Prove (14n+3)/(21n+4) is Irreducible | Number Theory Question
1 528 просмотров · 3 года назад
Anon Math
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1 528 просмотров · 3 года назад
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🔴Solving the First IMO Question Ever | Prove (14n+3)/(21n+4) is Irreducible | Solving Number Theory IMO Question |
Hey there.
Today, we are looking at the very first IMO question ever, in which we are asked to prove that
(14n+3)/(21n+4) is an irreducible fraction.
To do that, we should first know what an irreducible fraction is.
A fraction is irreducible if and only if the greatest common divisor (gcd) of the numerator and the denominator is equal to 1. Meaning that the numerator and the denominator don't have a common factor greater than one. Because if there is a common divisor greater than one, then we can reduce the fraction by canceling the common divisor.
🔴I hope you enjoy watching this video on the really nice and interesting first IMO qeustion ever.🔴
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topics covered in this video:
Solving the very first IMO question ever
Solving a number theory question
Solving an IMO question
greatest common divisors
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