A paper appeared in arXiv.org, physics/0511145.

The compression factor can be quite large.

--- In

primenumbers@yahoogroups.com, "gordon_as_number"

<gordon_as_number@y...> wrote:

>

> Here is a comment about the utility of your

> prime factorizations.

>

> First what is the probability of a random sequence

> being prime.

>

> Second what is the probability of a subsequence of those

> digits being prime.

>

> The probability grows to unity, the longer the sequence

> is. So, after finding a subsequence and after

> labeling the prime numbers with the integers, you will

> find a compression factor on that information contained

> in that sequence, which grows without bound.

>