Two problems on the greatest prime factor of \(n^2+1\) (Q6547206)
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scientific article; zbMATH DE number 7856597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two problems on the greatest prime factor of \(n^2+1\) |
scientific article; zbMATH DE number 7856597 |
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Two problems on the greatest prime factor of \(n^2+1\) (English)
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30 May 2024
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Let \(P^+(m)\) denote the greatest prime factor of the positive integer \(m\). In the paper under review, the author shows that\N\[\N\#\{n\leq x : P^+(n^2+1)<x^\alpha\}\gg x\N\]\Nfor \(\alpha\geq 0.567\).
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prime
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quadratic polynomial
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