Abstract
Let be two sets of n ≥ 1 consecutive integers with s ≤ t . In this note we are concerned with one-to-one mappings of Γ onto II. If i → f ( i ) is such a mapping then for i ∈ Γ we write F i for the highest common factor ( i, f(i) ), and if F i = 1 for all i ∈ Γ we say that f is a coprime mapping. Our principal result is THEOREM 1. If Γ = {1, 2, …, n } and Π = { n +1, n +2, …, 2 n } then a one-to-one coprime mapping of Γ onto II can be constructed .
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