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Tagged: #Number theory, sum of squares
prove that for all odd prime numbers there exist a natural number and integers such that:
Check this out(the last solution). Let me know if face any problem to understand.
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there exist a natural number 
and integers 
such that:![\[mp=x_1^2+x_2^2+x_3^2.\]](https://latex.artofproblemsolving.com/7/2/2/7222eee5c54342c4038576d5c98fc06f69d9ad5f.png)
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