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Fermat's Last Theorem asserts that the well-known [[Pythagorean Theorem]] has no solutions for higher powers. That is,  
 
Fermat's Last Theorem asserts that the well-known [[Pythagorean Theorem]] has no solutions for higher powers. That is,  
 
:<math>a^2 + b^2 = c^2</math>
 
:<math>a^2 + b^2 = c^2</math>
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has hundreds of solutions, such as {3, 4, 5} or {5, 12, 13}}; but
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has infinitely many solutions, such as {3, 4, 5} or {5, 12, 13}; but
    
:<math>a^3 + b^3 = c^3</math>
 
:<math>a^3 + b^3 = c^3</math>
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