Science Forums 2

[Don Blazys]

To:Buffy,

While I don't know all of the consequences of my formula, I do know some of them.

For instance, I know that there is an extraordinarily surprising connection between the entire sequence of primes and the numbers Pi and e.

I also know that it shares a very important property with the logarithmic integral Li(x), which would make it "of interest" to mathematicians who are studying or working on related problems such as the Riemann Hypothesis.

Good point about the usefullness of my formula with regards as to how far todays computers can use it to generate the sequence of primes.

In order to estimate that "usefullness", I first had to do a little "Google searching" to find these facts.

(1) The number Pi has been calculated to approximately 10^12 decimal places.

(2) The number e has been calculated to approximately 10^11 decimal places.

(3) The number of known primes is approximately 2(10^21).

Now, my biggest problem is that until very recently, I never even touched a computer, so I don't know much about about them, or their "number crunching" capabilities. However, since my formula involves both Pi and e, it is clear that the number of primes that my formula will generate in sequence is clearly limited to about 10^11.

Thus, I need not worry about it's being used to compromise encryption codes.

Moreover, even relatively "simple" calculations that involve sines and natural logarithms (as my formula does) can become extraordinarily cumbersome if accuracy to more than a dozen or so decimal places is required. For instance, using the best and fastest computer available to you... to how many decimal places can you or any of the "math denizens" here at Hypography calculate the root of:

sin(x^(1/2))-ln(ln(x)) which is approximately x= 6.2207156287787... .

As you can see, the best that I can do with my TI-89 is only 13 decimal places, and I can't even be sure that the last several digits are correct!

I would definitely be interested in exploring my formula with anyone who can do significantly better than my measly 13 digit calculation.

So there it is. Your most exellent point has resulted in the conclusion that I can definitely publish my formula in this and in other forums because at present, it can't possibly be used for nefarious purposes and security companies will not be interested in buying it.

I'm sure that my wife will be disappoined, but after three months, the mathematicians at Princeton have yet to point out a flaw in my proof of the BC, and there are now four more very good mathematicians who have verified it, so she and I can still hope for a somewhat smaller, yet substantial windfall.

Thanks for making, what turned out to be, a most enlightening and helpfull point. I will talk about how to present my discovery to the public with my wife, and a friend of mine who happens to be a retired judge.

I really want every math lover to see it soon, maybe real soon!

Don.