1129

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Number

$1129$ (one thousand, one hundred and twenty-nine) is:

The $189$th prime number


The $2$nd prime number after $1009$ which can be expressed in the form $x^2 + n y^2$ for all values of $n$ from $1$ to $10$
\(\displaystyle 1129\) \(=\) \(\displaystyle 20^2 + 1 \times 27^2 = 27^2 + 1 \times 20^2\)
\(\displaystyle \) \(=\) \(\displaystyle 29^2 + 2 \times 12^2\)
\(\displaystyle \) \(=\) \(\displaystyle 19^2 + 3 \times 16^2\)
\(\displaystyle \) \(=\) \(\displaystyle 27^2 + 4 \times 10^2\)
\(\displaystyle \) \(=\) \(\displaystyle 2^2 + 5 \times 15^2\)
\(\displaystyle \) \(=\) \(\displaystyle 23^2 + 6 \times 10^2\)
\(\displaystyle \) \(=\) \(\displaystyle 11^2 + 7 \times 12^2\)
\(\displaystyle \) \(=\) \(\displaystyle 29^2 + 8 \times 6^2\)
\(\displaystyle \) \(=\) \(\displaystyle 20^2 + 9 \times 9^2\)
\(\displaystyle \) \(=\) \(\displaystyle 33^2 + 10 \times 2^2\)


Also see