self Maths Puzzle

Find the sum of all positive integers n such that 1!×2!×3!×⋯×200!/n! is a perfect square.

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self Other Question

Find the least positive integer d for which there exists an arithmetic progression satisfying the following properties:

Each term of the progression is a positive integer.

The common difference of the progression is d.

No term of the progression appears in the Fibonacci sequence.
Gwen can run up one flight of stairs in 8 seconds and run down in 3 seconds. How long (in seconds) will it take her to run up and down 5 flights of stairs?