Sums of Squares

pi_kid

I'm having some trouble with a particular question brought up in class. It says given F(n)= to the total # of integer solutions what is the smallest n such that F(n)=24. I know how to find F(n) given n, but i can't figure out how to work backwards. Any hints would help.

mathman

"integer solutions" to what????

galoisjr

By sums of squares it depends on the amount of terms your adding. There is no answer for 2 squares to equal 24 but for 3 squares theres 4^2+2^2+2^2 and then for 6 squares it could be 2^2+2^2+2^2+2^2+2^2+2^2 so i would guess 2? Please fully explain the problem though.

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pi_kid	Sums of Squares Tweet I'm having some trouble with a particular question brought up in class. It says given F(n)= to the total # of integer solutions what is the smallest n such that F(n)=24. I know how to find F(n) given n, but i can't figure out how to work backwards. Any hints would help.

mathman Recognitions: Science Advisor	"integer solutions" to what????

galoisjr	By sums of squares it depends on the amount of terms your adding. There is no answer for 2 squares to equal 24 but for 3 squares theres 4^2+2^2+2^2 and then for 6 squares it could be 2^2+2^2+2^2+2^2+2^2+2^2 so i would guess 2? Please fully explain the problem though.