>
> > It is generally admitted than observable Universe
> > has about 10^80 particules [sic].
> > So, a computer with the size of observable universe
> > can make a sieve with numbers of 80 decimal digits
> > maximum.
>
> I don't think so, because you only store the prime numbers, not every
> number. This will make room for more prime numbers. So we return to our
> original problem. How many primes are less than a given n?
>
>
Easy, use the prime number theorem.  And your grand total jumps by leaps and
bounds to..... ~10^82, About eighty-two digits.

And please, no one try and dispute the prime number theorem for such a low
number of primes.
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