Each of α and β is a nonzero digit of base n from 1 to n-1 inclusively.
Determine all possible triplets (α, β, n) such that:
(α*β)base n ----------- is a positive integer. (α.β)base n### For example, in base ten corresponding to (α, β) = (4, 5), we observe that:
(4*5)/(4.5) = 40/9, which is NOT a positive integer.