Number Theory Taxicab Number How to prove that there are infinite taxicab numbers?
ok i was reading this http://en.wikipedia.org/wiki/Taxicab_number#Known_taxicab_numbers
and thought of this question..any ideas?

Use Ramanujan's identity that 
$$\left(x^2+7xy-9y^2\right)^3+\left(2x^2-4xy+12y^2\right)^3=\left(2x^2+10y^2\right)^3+\left(x^2-9xy-y^2\right)^3$$
Reference:
http://mathworld.wolfram.com/DiophantineEquation3rdPowers.html
