Subsets of an interval whose product is a power (Q1301641)
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scientific article; zbMATH DE number 1334446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subsets of an interval whose product is a power |
scientific article; zbMATH DE number 1334446 |
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Subsets of an interval whose product is a power (English)
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20 December 1999
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A well known result of Erdős and Selfridge states that the product of consecutive integers is never a non-trivial power. In the present paper the authors investigate related questions. They prove it can be chosen a subset of a short interval \([n,n+x_n]\) including \(n\) such that the product of elements of the subset is a square. They give upper bounds for \(x_n\). Some related questions are also discussed and many conjectures are stated.
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squares in products
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