The answer is?

Number Theory Level 4

Find the value of integer xx such that

1! 2! 3! 4! ⋯ 99! 100!x! \dfrac{1! \ 2! \ 3! \ 4! \ \cdots \ 99! \ 100!}{x!}

is a perfect square.

Keshav Bassi by Keshav Bassi
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