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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Is following theorem known?''
by MakotoKohno on 2007-06-22 08:47:38 |
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| Let $ S$ be the set of odd positive integers.
We define $R:S \longrightarrow \ S $ such that $R(n) = (3n+1)/2^r$, with $ r$ as large as possible.
Next we define $ M(n)=sup(n,R(n),R(Rn)),...}$ for every odd positive integer.
Then
THEOREM
Let $ K$ be a positive number.
Then there exist odd integer $ n$ such that $ M(n)/n > K$ . |
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