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The set of numbers 1,3,8,120 has a remarkable property: the product of
any two numbers is a perfect square minus one. Find a fifth number
that could be added to the set preserving its property. 


Please do not post comments containing clues, hints, or anything that might be considered as a hint to others. All such comments will be deleted. If you have a question, you can contact a moderator by clicking the button "Submit your solution".

idler_ 

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alan 

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