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Q.

What is Ferma's last theorem? Who solved it?

Asked by orebaba, 15 May '09 07:49 pm
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Answers (2)

1.

The Diophantine equation x^n + y^n = z^n where x, y, z and n are integers, has no non-zero solutions for n>2 has come to be known as Fermat\'s Last Theorem. It was called a \"theorem\" on the strength of Fermat\'s statement, \"It is impossible for a cube to be the sum of two cubes, a fourth power to be the sum of two fourth powers, or in general for any number that is a power greater than the second to be the sum of two like powers. I have discovered a truly marvelous demonstration of this proposition that this margin is too narrow to contain.\" (Note that the restriction n>2 is obviously necessary since there are a number of elementary formulas for generating an infinite number of Pythagorean triples (x, y, z) satisfying the equation for x^2 + y^2 = z^2.) Andrew Wiles provided a partial proof in 1993 which was then updated by Wiles and R. Taylor in late 1994. Most mathematicians seem satisfied that the theorem has been proved. (Sir Andrew ...more
Answered by Shahryar Pax, 16 May '09 06:46 pm

 
  
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2.

Did you mean Fermat's last theorem?Fermat's last theorem states that no three positive integers a,b,and c can satisfy the equation an+bn=cn(where 'n' is the power of a,b,c)for any integer value of n>2.The equation is a Diophantine equation named after 3rd century alexandrian mathematicianDiophantus.Fermat provedwith n=4 by the method of infinite descent,which reduced the problem to solveonly for all odd prime exponents.In 18th & 19th centuries,Leonhard Euler,Carl Freidrich Gauss,Adrien-Marie legendre,Peter Dirichletand Gabriel Lame provided proofs for n=3,5,and7.
Answered by deepthi, 15 May '09 09:22 pm

 
  
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