That's OK Navid, many of us have been there! We get so focused and

narrowed in on something that we loose sight of the obvious.

Now that I'm typing, I must say that I just love that little picture

at the Home page of this Yahoo Prime group! It shows two little

people standing before an awesomely big statue of the number '2'.

Now, about generating primes. I'm currently investigating a very

simple function, call it P(p,x,y), which is very good at generating

primes of all kinds. In fact on cursory examination it seems that if

one, say, doubles the range of x covered, the number of primes

produced almost doubles. If one doubles the range of y covered, the

number of primes produced almost doubles as well. For example for one

particular (and typical) p, if x ranges from 1 to 10 and y ranges

from 1 to 70, 83 primes are produced by the function. If the range of

y is allowed to double, that is from 1 to 140, 161 primes are

generated. In the first case when y ranges from 1 to 70, the lowest

prime produced is 379 and the highest is 15196639291. Most of the

numbers are over 7 digits.

Is this ordinary, good, or too good to be true?

Mark

--- In

primenumbers@yahoogroups.com, "navid_altaf" <navid.altaf@g...>

wrote:

>

> Oh dear. Its finally dawned on me I'm just stating the obvious

> by definition. Sorry. I'm going to try to stop thinking about

> prime nos for some time (I can almost hear your collective sigh of

> relief).