> On Sunday 01 October 2006 07:22, [EMAIL PROTECTED] wrote:

> > Large prime numbers seems to appear randomly to us because they would
> > require computers and time as big as our Universe.
>
> Sorry but I don't understand this. In fact the universe is finite in content
> and time whereas the set of positive integers (and primes) is infinite so I
> don't see how any computer could possibly be big or fast enough to tabulate
> all primes. Not even a quantum computer.

I meant to say: Large prime numbers like Mersenne ones seem to appear randomly
to us because we cannot use the Eratosthem algorithm here: that would require
so LARGE computers. (I've not done the computation, but my guess is that a
computer smaller than Universe could be enough to find M45.)
However, for primes larger than a limit, that's not possible.

Tony
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