Suppose that ( n ) is a positive integer with the properties: for any integers ( a ) and ( b ), ( n ) is not prime and ( aⁿ - bⁿ ) is divisible by ( n ), where ( pₙ ) is the ( n )th prime (i.e., ( p₁ = 2 ), ( p₂ = 3 ), etc.). What is the smallest possible value of ( n )?
a) 1
b) 2
c) 3
d) 4
