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Let ϕ(n)\phi(n)ϕ(n) be the Euler phi function. If 1≤n≤10001 \leq n \leq 10001≤n≤1000, what is the smallest integer value of nnn that minimizes ϕ(n)n?\frac{\phi(n)}{n}?nϕ(n)?
You may choose to read Euler's theorem.
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