4104

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Number

$4104$ (four thousand, one hundred and four) is:

$2^3 \times 3^3 \times 19$


The $2$nd positive integer which can be expressed as the sum of $2$ cubes in $3$ different ways:
$4104 = 16^3 + 2^3 = 15^3 + 9^3 = \paren {-12}^3 + 18^3$


The $2$nd taxicab number after $1729$: a positive integer which can be expressed as the sum of $2$ positive cubes in $2$ different ways:
$4104 = 15^3 + 9^3 = 16^3 + 2^3$


Also see


Sources

  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4104$