Am I a Secondary Taxicab?
Jelly, 9 bytes

Credits to Erik the Outgolfer.

Œċ*3S€ċ&gt;1


Try it online!

This is too slow that it won't even work for 1729 online.

Much faster, 12 bytes

Credits to Dennis.

R*3fRŒċS€ċ&gt;1


Try it online!