# JEE Novice - (10)

Algebra Level 3

$\Large n^5-5n^3+4n$

If $$n$$ is a natural number and the above expression can always be expressed as the product of $$k$$ consecutive positive integers, then find the value of $$k$$.

• If you think that there is no largest value of $$k$$, input 999 as your answer.
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