Fermat's Last TheoremNumber Theory Level 5
Andrew Wiles, pictured above, was just awarded the 2016 Abel Prize for his 1994 proof of Fermat's Last Theorem.
Suppose \(n=2016\) and \(|x|,|y|,|z|\) are all less than 10. How many solutions in integers are there to the equation on the chalkboard?
Note: A solution here refers to an ordered triple \((x,y,z).\)