The number of prime divisors of a product of consecutive integers (Q2880120)
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scientific article; zbMATH DE number 6023065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of prime divisors of a product of consecutive integers |
scientific article; zbMATH DE number 6023065 |
Statements
12 April 2012
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prime divisors
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Schinzel's Hypothesis
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consecutive integers
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The number of prime divisors of a product of consecutive integers (English)
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In the paper the authors investigate the number of prime divisors of a product of consecutive integers. They proved that under Schinzel's Hypothesis that for a given \(l\geq 1\), there are infinitely many \(k\) such that a product of \(k\) consecutive integers each exceeding \(k\) is divisible by exactly \(\pi(2k)-l\) prime divisors.
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