After doing some reading on the subject I am now firmly convinced

that prime constellations with densities exceeding that of the early

primes do exist. And perhaps with quantum computing they shall be

found.

But I am also convinced that the densities will never exceed a

certain amount, as follows:

For instance, there are exactly 168 primes from 1 to 1,000. I

wouldn't be surprised at all now if a prime constellation waaaay up

there somewhere exeeds 168 primes in an interval of 1,000.

*But*, there are exactly 95 primes from 0 to 1000/2. If we include

negative numbers as primes, that makes 190 primes from -500 to 500.

So to my intuition, no interval of 1,000 could ever surpass this 190

count.

Mark

--- In

primenumbers@yahoogroups.com, "Mark Underwood"

<mark.underwood@s...> wrote:

> Anyways, after actually doing the tuple thing, I am now seriously

> doubting my belief that the earilest primes will never be surpassed

> in density, go figure. :)

>

> Mark