87,539,319
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Number
$87 \, 539 \, 319$ is:
- $3^3 \times 7 \times 31 \times 67 \times 223$
- The $3$rd Hardy-Ramanujan number after $2$, $1729$: the smallest positive integer which can be expressed as the sum of $2$ cubes in $3$ different ways:
\(\ds \qquad \ \ \) | \(\ds 87 \, 539 \, 319 = \map {\operatorname {Ta} } 3\) | \(=\) | \(\ds 167^3 + 436^3\) | |||||||||||
\(\ds \) | \(=\) | \(\ds 228^3 + 423^3\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 255^3 + 414^3\) |
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $87,539,319$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $87,539,319$