+46 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! 
+46 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!
