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The product of four consecutive positive integers is \(1\) less than \(461^2\). What is the least of these four numbers?

 

I've tried writing equations but that didn't work. Can someone help? Thank you! smiley

 Feb 29, 2024
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Actually, I solved it! If anyone needs help? Here a hint: Use difference of squares: \(x^2-y^2=(x+y)(x-y)\) and prime factorization! smiley

 Feb 29, 2024

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