Let n ≥ 2 be an integer. Given numbers a₁, a₂, ..., a₂n such that LCM(aᵢ, aⱼ) > 2n.

a) n is a prime number.
b) All aᵢ are even.
c) All aᵢ are odd.
d) aⱼ = 2 for some j.