erdos.sdslabs problem Let $n$ be the largest positive integer, such that $n!$ can be expressed as the product of $(n−2014^{2015})$ consecutive integers. 
Let $x$ be equal to $n$ mod $38980715857$. Find x mod $8037517$ ?
Question source is this.
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as we know that value of n is equal to(by solving it with number theory)
n=(2014^2015!)+1
now,
given that x=n mod38980715857.
by solving it with help of wolfram alpha we get,
x=38980715856,
further xmod8037517is equal to:
6795923
