$$36$$ is a square number because it can be written $$6\times6$$.  Similarly, $$64=8\times8$$ is a square number.  $$1000$$ is a cube number because it can be written $$10\times10\times10$$  Similarly, $$343=7\times7\times7$$ is a cube number.  The French mathematician Pierre de Fermat claimed correctly that there is only one square number that is $$2$$ less than a cube number.  It is less than $$50$$.  What is it?  ANSWER~\uline{~~~~~~~~~~}~ 
Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers