Tuesday, February 02, 2010


JSH: Random, politics and money

The twin primes probability result helped me over three years ago when I was still wondering if mathematicians were deliberate frauds or not. It was the result that helped me to conclude that mathematicians knowingly fake it, lie about math, and have no concern about the harm to the world, as random is actually a very valuable concept.

Ok, so what do we know? It's long been established that the prime distribution is NOT random. But a simple idea I call the prime residue axiom allows you to see that primes have random behavior anyway, just not with the distribution.

But if you naively wrap up the question of twin primes probability with the count of prime numbers you can pretend that the count of twin primes has something to do with the prime distribution and is not random.

What I showed—over three years ago—was that if you remove the prime distribution from the picture, you DO find random behavior, and I did that by noting that you find probability from the primes less than the sqrt(x+2), where x+2 is the top of your interval.

For example:

Between 5^2 and 7^2, there are 6 primes. The probability then is given by:

prob = ((5-2)/(5-1))*((3-2)/(3-1) = (3/4)*(1/2) = 0.375

And 6*0.375 = 2.25 so you expect 2 twin primes in that interval.

The primes are 29, 31, 37, 41, 43, 47 and you'll notice, two twin primes as predicted: 29,31 and 41, 43.

That probability is the probability that if x+2 does NOT equal 2 mod 3 or 5 as those are the only primes for which you care.

Notice for instance with 29 that 27 does have 3 as a factor. and with 37, 35 has 5 as a factor.

It's not rocket science.

Clearly the probability is determined by the primes less than sqrt(x+2), as to whether or not a particular residue is picked, and that's about probability, and if the primes do not care, it's random.

If you wish to lie though, you can wrap the count of primes here with the probability of primeness and it can appear to be about the prime distribution which is NOT random.

So an easy charlatan's trick is available for the wily mathematician who needs funding.

Now what gives my opinion punch here is that, yup, I noted the random behavior over THREE YEARS AGO.

And posters argued with me back then so you can go back in the record and see!

So your field IS corrupt. By ignoring this easy way to split the prime distribution which is not random from the prime behavior which is, governments around the world have funded fakes to do, nothing of value at all.

I call it, white collar welfare.

So of course I have contempt for the modern math field. No true mathematician would stoop to such tricks, especially with a prized area like prime numbers. But con artists would.

If you are a grad student working on twin primes, then as far as I'm concerned you're a throw away. Either you've been used by others who know, or you know and you're angling to get yours before the world knows.

But random is important in our world. If physicists realized that they had an example of random behavior from prime behavior then they could truly test for random in the real world, as a perfectly random distribution, proven to be so mathematically, would be THE model random distribution.

So you rob the world of untold advances with your greed and stupidity.

But mindless people who would do such a thing would not be expected to care about how devastating they are to humanity, as they are parasites.

You are parasites.

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