Re: Trends in Euler's phi function

I.N. Galidakis wrote:
I.N. Galidakis wrote:
Some results which appear to be in the space half between number
theory and statistics.

Trends in Euler's phi function.

Enjoy:

http://ioannis.virtualcomposer2000.com/math/totient.html

I have also added some Maple code today (which was absent yesterday
during the announcement) to calculate some approximate probabilities
for the sample space [1..N]. The results for the prime trend seem to
agree with the Prime Number Theorem.

And the inevitable conclusion:

lim_{N->oo}P(N=2^{k_1}*3^{k_2}*5^{k_3}*...*p^{k_p})*Product(q<N;q:prime,q)=1
--
I.N. Galidakis

.

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