A note on the twin primes (Q2918834)
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scientific article; zbMATH DE number 6089055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the twin primes |
scientific article; zbMATH DE number 6089055 |
Statements
1 October 2012
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Clement theorem
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twin primes
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additive theory
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A note on the twin primes (English)
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The author proves the following variant of Clement's theorem for twin primes: \(n+2\) and \(n+4\) are both primes iff \((n+2)(n+4)\) divides \(n(n+1)!-2\). We note that this result follows from Clement's theorem from the following identity: \(n[4(n+1)!+ n+6]= 4[n(n+1)!-2]+ (n+2)(n+4)\), by remarking that \(n\) must be odd.
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0.7834500074386597
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