Number which is simultaneously sum of 2 and 3 squares – math.stackexchange.com

Number which is simultaneously sum of 2 and 3 squares – math.stackexchange.com

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Is there positive integer $m$ such $m=x_1^2+x_2^2$ and $m=y_1^2+y_2^2+y_3^2$ where $x_i, y_j$ are nonzero integers. I have tried by hand for the ten natural numbers but I was not able to find such ...

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