Excel in math, science, and engineering

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When Madin learnt about factorials, he was delighted that they had so many factors since \( k! = 1 \times 2 \times 3 \times \ldots \times k \). He knew that \(k!\) would ...

For a composite positive integer \(x\), denote by \(pd(x)\) the smallest positive difference between any two prime divisors of \(x.\) Find the smallest possible value of \(pd(x)\) for ...

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