2021•Quaestiones MathematicaeOpen access
When the nontrivial, small divisors of a natural number are in arithmetic progression
Hùng Việt Chu
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Abstract
Iannucci considered the positive divisors of a natural number n that do not exceed and found all forms of numbers whose such divisors are in arithmetic progression. In this paper, we generalize Iannucci’s result by excluding the trivial divisors 1 and (when n is a square). Surprisingly, the length of our arithmetic progression cannot exceed 5.
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