Is there a solution to $x^2+y^2=1992$ for positive integers $x$ and $y$?

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SUMMARY

The equation $x^2 + y^2 = 1992$ has been proven to have no positive integer solutions. This conclusion is derived from the properties of sums of squares and modular arithmetic. Specifically, the analysis shows that 1992 cannot be expressed as a sum of two squares, confirming the impossibility of finding positive integers $x$ and $y$ that satisfy the equation.

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Albert1
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$x^2+y^2=1992---(A)$
pove $(A)$ has no positive integer solution
 
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Albert said:
$x^2+y^2=1992---(A)$
pove $(A)$ has no positive integer solution

repeat question http://mathhelpboards.com/challenge-questions-puzzles-28/prove-x-y-1992-no-solution-13109.html?highlight=1992
 

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