Squares in \((1^2+1)\dots(n^2+1)\) (Q1024424)
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scientific article; zbMATH DE number 5565662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Squares in \((1^2+1)\dots(n^2+1)\) |
scientific article; zbMATH DE number 5565662 |
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Squares in \((1^2+1)\dots(n^2+1)\) (English)
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17 June 2009
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Here the author proves that the product \(\prod _{k=1}^n(k^2 +1)\) is a square only for \(n=3\). The proof is completely elementary and uses the Chebyshev upper bound inequality for prime numbers.
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quadratic polynomials
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squares
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powerful numbers
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0.88377583
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