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N=a^2+b^2+c^2,

a.b.c.N are all integers(>0),I am wondering how many solves for each N.

Have this problem been solved in Number Theory?

This problem is originate from a quantum mechanics question I met.

thanks for any advice.

neptunecs

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# N=a^2+b^2+c^2, a.b.c.N are all integers(>0)

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