Perfect squares have at most five divisors close to its square root
classification
🧮 math.NT
keywords
sqrtperfectsquaredivisorsfivecloseconjectureconsider
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In this paper, we consider a conjecture of Erd\H{o}s and Rosenfeld when the number is a perfect square. In particular, we show that every perfect square $n$ can have at most five divisors between $\sqrt{n} - c \sqrt[4]{n}$ and $\sqrt{n} + c \sqrt[4]{n}$.
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