MathDB
Let's use nu (n) instead of pi (n)! [ILL 1971]

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January 1, 2011
inductionlogarithmsnumber theory proposednumber theory

Problem Statement

Let mm and nn denote integers greater than 11, and let ν(n)\nu (n) be the number of primes less than or equal to nn. Show that if the equation nν(n)=m\frac{n}{\nu(n)}=m has a solution, then so does the equation nν(n)=m−1\frac{n}{\nu(n)}=m-1.
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