Question 17
Find the least positive integer $a$ such that the expression
$$
\frac{n^8 + n^6 + n^4 + n^2 + a}{n^2 - 1}
$$
for $n = 2014$ is an integer divisible by $3$. (Mea Bombardelli)
$$
\frac{n^8 + n^6 + n^4 + n^2 + a}{n^2 - 1}
$$
for $n = 2014$ is an integer divisible by $3$. (Mea Bombardelli)