1849

Number
$1849$ (one thousand eight hundred and forty-nine) is:


 * $43^2$


 * The $43$rd square number after $1, 4, 9, 16, 25, 36, \ldots, 1296, 1369, 1444, 1521, 1600, 1681, 1764$:
 * $1849 = 43 \times 43$


 * The $37$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $1024$, $1089$, $1225$, $1255$, $1351$, $1414$, $1444$, $1521$, $1681$, $1849$, $\ldots$