Question 1199406
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Write 17! as the difference of two integer perfect squares.
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See the solutions under this link


https://www.quora.com/How-do-you-write-17-as-the-difference-of-two-integer-perfect-squares



It can be done in several different ways,  so different answers are possible.


You will find all necessary explanations/formulas under the referred link.



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One possible/particular solution is


           17! =  (n+2)^2 - n^2,


where    n = {{{17!/4-1}}} = 88921857024000 - 1 = 88921857023999,    so  


          17! = 88921857024001^2 - 88921857023999^2.



As you may find in the referred source,  there are many other possible solutions/presentations.