A number theory problem by కార్తిక్ పుల్లురు

Number Theory Level 2

If a , b a, b and c c are three positive integers , then which of the following can never be true?

a 2 + b 2 = c 3 a^2 + b^2 = c^3 a 3 + b 3 = c 3 a^3 + b^3 = c^3 a 2 − b 2 = c 2 a^2 - b^2 = c^2 a 3 + b 3 = c 2 a^3 + b^3 = c^2

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కార్తిక్ పుల్లురు by కార్తిక్ పుల్లురు , 22, India

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1 solution

Sabhrant Sachan
May 26, 2016

Relevant wiki: Fermat's Last Theorem

no three positive integers a , b , c a,b,c satisfy a n + b n = c n a^n+b^n=c^n for any integer n > 2 n>2

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