Three Basic Rules of Mathematics

Pierre de Fermat, a famous mathematician of the 17th century thought that the function N = 2^(2^k) + 1 always produced prime numbers. But a hundred years later his assumption was thrashed by a budding Swiss mathematician named Leonhard Euler. Euler in his later years assumed that there are no positive integers to satisfy an equation of the form a^4 + b^4 + c^4 = d^4. But his conjecture was disproved almost two and a half centuries later. What is the take away from this story? We examine three major rules of mathematics in this episode of Junior Tesla.

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