Decomposition of a number: N = p^2 + q^2, and I have tried to factorize N

Blackshark29

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Jul 15, 2023
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Hello, I am currently trying to solve a problem. I am given a huge number N, and I know the following equation holds:
[math]N=p^2+q^2[/math]Furthermore, I know p and q are primes. I tried factorizing the number N given as input, and I got some numbers but I cannot really figure out how to extract p and q from them.
 
Please post the value of N and the numbers you got when factoring it.
 
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