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!

greenplanet2050 Feb 29, 2024

#1**0 **

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!

greenplanet2050 Feb 29, 2024