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OpenStudy (anonymous):
Prove that N= 996x997x998x999+1 is perfect squat.
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OpenStudy (nikvist):
\[N=m(m+1)(m+2)(m+3)+1=(m^2+3m)(m^2+3m+2)+1=\]\[=(m^2+3m+1-1)(m^2+3m+1+1)+1=\]\[=(m^2+3m+1)^2-1+1=(m^2+3m+1)^2\]
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