FERMAT LAST THEOREM : NUMBER THEORY
FERMAT'S LAST THEOREM
HISTORY: Pierre de Fermat was a French lawyer at the Parliament of Toulouse, France. He was born in between 31 October and 6 december, 1607 and passed away in 12 january, 1665. His intelligence was not only bounded into the court room, he was also a successful mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. He had a great interest in number theory, and his research made number theory more easy. he also has a lot of contributions to Analytic geometry, Probability and optics. he is very famous for his Fermat's principle for light propagation and his Fermat's Last Theorem, which he described in a note at the margin of a copy of Diophantus' Arithmetica.
Short Description about him :
Born

Between 31 october  6 December 1607

Place of Birth

BeaumontdeLomagne, France

Education

College de Navarre, University of Orleans
(L.L.B. , 1626)

Famous for

Fermat's principle for light propagation, Fermat's Last Theorem etc.

Fields

Law and Mathematics

Died

12 January, 1665 , in Castres, France

THEOREM :
Note that the restriction is obviously necessary since there are a number of elementary formulas for generating an infinite number of Pythagorean triples satisfying the equation for ,
Diophantus' Arithmetica, 1670 edition 
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