Primes Expressible as x^2 + n y^2 for all n from 1 to 10/Examples/1801
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Example of Prime Expressible as $x^2 + n y^2$ for all $n$ from $1$ to $10$
| \(\ds 1801\) | \(=\) | \(\ds 35^2 + 1 \times 24^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1^2 + 2 \times 30^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 37^2 + 3 \times 12^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 35^2 + 4 \times 12^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 26^2 + 5 \times 15^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 25^2 + 6 \times 14^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 3^2 + 7 \times 16^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1^2 + 8 \times 15^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 35^2 + 9 \times 8^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 19^2 + 10 \times 12^2\) |