In the above examples, the number that must be added to each factorial to reach the first perfect square beyond it is itself a perfect square. (With the exception of 2! and 3!)

Make a conjecture about whether the observed pattern continues before you try to prove it or find a counterexample.

So now your question is : Is every factorial number a difference of two square numbers?

Edited on October 20, 2017, 11:32 am

Edited on October 20, 2017, 11:35 am

Posted by chun on 2017-10-20 11:30:50