Primes Expressible as x^2 + n y^2 for all n from 1 to 10/Examples/1201
Jump to navigation
Jump to search
Example of Prime Expressible as $x^2 + n y^2$ for all $n$ from $1$ to $10$
| \(\ds 1201\) | \(=\) | \(\ds 24^2 + 1 \times 25^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 7^2 + 2 \times 24^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1^2 + 3 \times 20^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 25^2 + 4 \times 12^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 34^2 + 5 \times 3^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 5^2 + 6 \times 14^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 33^2 + 7 \times 4^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 7^2 + 8 \times 12^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 25^2 + 9 \times 8^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 29^2 + 10 \times 6^2\) |