Re: Unprovability

From: scerir (
Date: Wed Apr 04 2001 - 14:23:36 MDT

> > His name is Pál Erdös ....

Once Erdos commented "God may not play dice
with the universe, but something strange is going on
with the prime numbers".

Actually P. Erdos and M. Kac published a (little
known) theorem. This theorem states that if we plot
the number of prime factors of *very large* numbers,
we get a *bell* curve ! Almost as these numbers were
choosing their prime factors *at random*.

[The Gaussian law of errors in the theory of additive
number theoretic functions, Am. Journ. of Math., 1940,
p. 738].

An anthropic principle (also) for the number theory?

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