Question 1050524
.
I am wandering what a person can learn from such a problem?


From such a solution?
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Below is another "solution"


n*(n-1)*(n-2) + P(n)*(n-13)*(n-14)*(n-15)*(n-16)*(n-18),


where P(x) is any polynomial with integer coefficients.


It will give you the same values at the assigned points (13, 14, 15, 16, 18) and totally different value at the "17" point.


And what?


Such problems relate to the category "puzzles", but not to the category "math".