Is it Pythagoras Theorem?

Number Theory Level 2

Find the number of ordered triplets (a,b,c) which satisfies the given equation:

a 3 + b 3 = c 3 a^{3}+b^{3}=c^{3}

Note:

a, b and c are natural numbers.


The answer is 0.

Akshay Yadav by Akshay Yadav , 20, India

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2 solutions

Akshay Yadav
Sep 11, 2015

Andrew Wiles is most well known for his proof of Fermat’s Last Theorem: That no positive integers, a, b and c can satisfy the equation :

a n + b n = c n a^{n}+b^{n}=c^{n}

Where, n > 2 n>2

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Akshat Sharda
Sep 10, 2015

There are no such values , I just thought for trying 0 0 and got my answer right ^_^

@AkshayYadav can you give me a proof why is it so ?

I'll eagerly wait for your reply.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

This is one example of Fermat's Last Theorem in play. https://www.brilliant.org/wiki/fermats-last-theorem/

tytan le nguyen - 5 years, 9 months ago

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