Everyone knows about the Pythagoras theorem right ?
Well you might not have heard of Fermat's last theorem. have you ?
what does Pythagoras theorem say ? well simple "In a right angled triangle the square of the largest side is equal to the sum of the other two sides".
Fermat's last theorem extends it a bit by saying that it is false for all powers greater than two.well to put it simply we can say Fermat's equation, x^n + y^n = z^n with positive integer solutions, is not true for n greater than 2.the equation also called a diophantine equation.Around 1637, Fermat wrote his Last Theorem in the margin of his copy of the Arithmetica next to Diophantus’ sum-of-squares problem.
He famously wrote the following sentence in his book.
"It is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers. I have discovered a truly marvelous proof of this, which this margin is too narrow to contain".
why did he write that thing and what was that marvelous proof soon became a hot topic among mathematicians. there were even rewards offered to whoever who gave the proof.
Why did this theorem came to be known as Fermat's last theorem. the answer is simple. as it was the last of Fermat’s asserted theorems to remain unproven hence the name, one that eluded the mathematicians for nearly three and a half centuries.
Was the conjecture proven ? yes it was !! It was proven in 1994 by Andrew wiles who spent his entire life devoted to it. the proof was many pages long and used too complicated methods not possible to be known to Fermat at that time.
That's all folks,,,and yes Simon Singh wrote a book covering the entire origin and study of the proof..
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