4104

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Number

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

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

The $1$st 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

• Integer as Sum of 2 Cubes in 3 Ways

• Previous  ... Next: Taxicab Number

Sources

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