Gaps between consecutive divisors of factorials (Q1313314)
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scientific article; zbMATH DE number 490686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gaps between consecutive divisors of factorials |
scientific article; zbMATH DE number 490686 |
Statements
Gaps between consecutive divisors of factorials (English)
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26 June 1994
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The set of all divisors of \(n!\), ordered according to increasing magnitude, is considered, and an upper bound on the gaps between consecutive ones is obtained. We are especially interested in the divisors nearest \(\sqrt{n!}\) and obtain a lower bound on their distance.
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consecutive divisors of factorials
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gaps between divisors
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divisor sequences
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upper bounds
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lower bounds
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0.7494083642959595
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0.7447341084480286
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0.7212163209915161
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0.710504949092865
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