Harristotelian Logic

My position is that there is clearly random behavior that can easily be found with prime numbers, but mathematicians can have an endless source for papers and supposed research by ignoring what is mathematically true.

To keep things simple and remove the possibility of any math people stepping in to add unneeded complexity—throwing up sand—let's focus on the simplest area that I've pointed out which is p mod 3, where p is a prime greater than 3, and p mod 3 means to subtract 3 as many times as you can from p without getting a negative number.

What is left over is called the residue. For example 7 mod 3 = 1.

Now then, with the basics established, here is what you get with the first 23 primes greater than 3:

5 mod 3 = 2, 7 mod 3 = 1, 11 mod 3 = 2, 13 mod 3 = 1, 17 mod 3 = 2, 19 mod 3 = 1, 23 mod 3 = 2, 29 mod 3 = 2, 31 mod 3 = 1, 37 mod 3 = 1, 41 mod 3 = 2, 43 mod 3 = 1, 47 mod 3 = 2, 53 mod 3 = 2, 59 mod 3 = 2, 61 mod 3 = 1, 67 mod 3 = 1, 71 mod 3 = 2, 73 mod 3 = 1, 79 mod 3 = 1, 83 mod 3 = 2, 89 mod 3 = 2, 97 mod 3 = 1

So the sequence is

2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1

and I say it is a random sequence.

So if 1 were heads and 2 were tails, those could be flips of a coin.

Now consider, if that is true, it is a boon to researchers looking for random lists!

You don't need to flip a coin, just start going up the primes mod 3, and you have perfect randomness.

It could even offer a clue as to how we get randomness in our modern world.

So there is a real benefit beyond the knowledge itself, and a benefit to the sciences as well, where such questions might be answered.

Now it's up to the math people.

My fear is that this idea will mostly just be ignored.

Yup, sure maybe some Usenet poster here or there replies to me to argue, but the bulk of the mathematical community seems to have learned the art of doing nothing.

The challenge to you is to consider that the reason why is that they routinely do nothing of real value, but rely on people not looking at the simple and asking simple questions, while they are awed by people who use a lot of complicated language to do nothing at all of value.

Those in the physics community should know that MOST of the mathematics used to run our technological world was discovered over a hundred years ago.

I suggest to you that many mathematicians today are doing nothing of value at all, and that information can be hidden because of the greatness of what came before—stunning mathematical achievements that are still of great use today, so that few people notice that nothing much new is being done.

This simple area with prime numbers is meant to get people asking questions, and demanding answers versus allowing the modern mathematical community to remain silent when it suits it, only to come out here and there with pronouncements of supposedly great achievements, which then perplexingly show no practical value.

Remember, mathematics is known to be great today because for thousands of years, it has worked in the real world. You could build great things with mathematical ideas that you couldn't or found very difficult to build without them.