Andrew Wiles vs. Pierre de Fermat

Number Theory Level 1

If x , y , z x,y,z and n n are positive integers satisfying x n + y n = z n x^n + y^n =z^n , what is the maximum value of n n ?


The answer is 2.

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Bloons Qoth by Bloons Qoth , 21, USA

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3 solutions

Viki Zeta
Jul 14, 2016

There exists numbers such that : x + y = z x 2 + y 2 = z 2 But the same cannot be true for x 3 + y 3 = z 3 , or any integer for n > 2. \text{There exists numbers such that : } \\ x + y = z \\ x^2 + y^2 = z^2 \\ \text{But the same cannot be true for} \\ x^3 + y^3 = z^3, \text{ or any integer for n > 2.}

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Prove it.

Just kidding you don't have to lol

Bloons Qoth - 4 years, 11 months ago

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Lol ok. Actually that is because of fermats last theorem

Viki Zeta - 4 years, 11 months ago
Ku John
Aug 4, 2016

if you want to find out about the solution, i advice you to google out Andrew Wiles.

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Theodore Lietz
Jul 17, 2016

Fermat's last theorem.

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