mathematics tst problem

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  • #18462

    prove that for all odd prime numbers $p$ there exist a natural number $m<p$ and integers $x_1, x_2, x_3$ such that:

    \[mp=x_1^2+x_2^2+x_3^2.\]

    #21621
    Tarit Goswami
    Moderator

    Check this out(the last solution). Let me know if face any problem to understand.

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