Prove that the equation
[tex]x^{2}+y^{2}+z^{2}=2^{m}[/tex]
has no natural solutions [tex]x,y,z[/tex] for any natural number m. (the problem for m=9 was proposed on second round of the bulgarian mathematical olympiad for seven grade in 2005)
MM wrote:Prove that the equation
[tex]x^{2}+y^{2}+z^{2}=2^{m}[/tex]
has no natural solutions [tex]x,y,z[/tex] for any natural number m. (the problem for m=9 was proposed on second round of the bulgarian mathematical olympiad for seven grade in 2005)
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