My Math Forum Min Max range from one Prime to the next

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 May 24th, 2017, 03:56 AM #11 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 So a minor tinker you can do with this is take away all the potential Prime numbers that end in 5. So for example 13 can only be 15 or 17 so by default it's 17 I tried really hard to reduce the potentials a lot by trying to figure out if there was a way I could know that a certain bunch of Primes divide a certain number of times by their number in the order, so for example 127 / 31 = 4.n 359 / 72 = 4.n BUT 347 / 69 = 5.n It's very rare this happens but you can't ignore it, and to be honest I think this is as good as it's going to get. I tried working Phi ratio into the formula because that is also liked by Ancient Greeks, but that didn't really work. Last edited by HawkI; May 24th, 2017 at 04:04 AM.
 May 31st, 2017, 08:05 AM #12 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 I have looked into this even more and was staggered to find that this is after all a predictable pattern for Prime numbers. Current Prime + 2 divided by the one it is in the list (ordinal number) + 1 goes up to the first + 1. Example:- 4th 7, 7 + 2 = 9 / 5 = 1.n, 9 + 2 = 11 / 5 = 2.n Basically you add the biggest number to the 2nd Prime that the 1st Prime couldn't to find the 3rd Prime. I could go on about the evidence but this is probably coming across as word salad, Crank nonsense.
 June 12th, 2017, 10:36 AM #13 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 I have just looked into it more and found that I was wrong, I have not found a predictable pattern. I would say even the range is wrong as well. I just wanted to stop any one who believes this.
 June 14th, 2017, 02:18 AM #14 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 Not one to throw the towel in easy I decided to take a step back and look again at this work of mine, I then found that all the red blocks correspond to this pattern on OEIS https://oeis.org/search?q=5%2C9%2C9%...lish&go=Search Incredible! I'm sure I would have eventually found that my self but gosh what a useful website!
 June 14th, 2017, 08:47 AM #15 Banned Camp   Joined: Dec 2012 Posts: 1,028 Thanks: 24 https://en.wikipedia.org/wiki/Prime_gap "Bertrand's postulate, proved in 1852, states that there is always a prime number between k and 2k, so in particular pn+1 < 2pn, which means gn < pn."
 June 17th, 2017, 11:08 AM #16 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 Terence Tao a famous Mathematician says that Prime numbers BEHAVE randomly. This really clears thing up for me, if this is what other people believe then they haven't been very clear about it. Countless times I have searched to see if Primes are random or not. My efforts of finding a predictable Prime Pattern vanishes and I'm glad the truth is out there. That said there is one more thing to find in this new Prime gap finder that uses Pronic numbers. (You can go on the wiki page for Prime gap and type "Pronic" into control find and see that nothing comes up") The last thing is to find the irrational rotation value of the red blocks. Green Blocks predict second prime. Red Block predict third Prime. Once that's done I'll help Complicatemodulus become a millionaire.
June 18th, 2017, 09:35 PM   #17
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Quote:
 Originally Posted by HawkI Terence Tao a famous Mathematician says that Prime numbers BEHAVE randomly.
I dislike this position since, in my opinion, is false:

- In case it behave randomly, that it means one time it can be black and another one turn can be red, depending for example if we use one or another function to sort it.

And this is clearly false since a prime number is well defined.

The only question is that the definition imply if we wanna know who is a prime, to make several iteration (an Algo, so non a function). But this just prove functions are not all the math. And rising its value the number of iteration rise.

As told we can know who is a prime using the simple formula:

for any $n\in \mathbb{N^+}$ except $n=4$ by the definition of a prime:

$z= n!/n^2$

If $z\in \mathbb{Q-N}$ (so $z\in \mathbb{Q}$ with decimal digits), than $n$ is a prime.

If $z\in \mathbb{N}$ than n is NOT a prime.

Using this definition I can say:

1- the position of $n$ in the list of the primes, so how many primes there are before it (sorry in the picture there is $P$ instead of $\pi_i$).

$\pi(x) = \sum_{n = 5}^{\ P}{ [Int [[((n!/n^2)-int(n!/n^2)]+1/3]] +2 }$

2- Given $\pi_i$ who will be the next one (sorry in the picture there is $P$ instead of $\pi_i$).

Yes to have this two value we have to use the definition, so solve an algorithm (there are many), and yes $n!$ is unusefull at all, but just because of our little computational power...

To see part of the story pls visit the following link:

But each time you run it, you've the same result AND

Since is possible, using primes, to buil all the numbers in $\mathbb{N}$ and since if we miss just one prime, we are not able to do that, than we can say Primes are a well sorted set, than they cannot be randomly placed.

I dislike to use too much rigors than necessary, but in this case I very dislike any mathematician (so who is named mathematician, not a guru or else) that push in the clean minds of the students a false concept which is used as a sort of intimidating scepter....

Riemann did a better work since his function returns ALL primes, BUT is unfortunately, at the moment, too hard to be understood by peoples.

BUT is easy to see that you can make a Set coupling all the "zeros" of my $z$ and the one of Riemann (except $4$ as told):

Indeed you can couple each Trivial Zero with an Integer of my $z$ so to a Non prime,

and couple each Non Trivial Zeros to a decimal $z$

And seems that by induction (and, or, transfinite induction) is possible to prove it

Quote:
 Originally Posted by HawkI Green Blocks predict second prime. Red Block predict third Prime. Once that's done I'll help Complicatemodulus become a millionaire.
... I think there are few peoples really interested to math and much more "mathematician" more interested to power, and money... and if you read my posts here, you probably also understand the irony bellow the word "power" I use here.

Last edited by complicatemodulus; June 18th, 2017 at 09:47 PM.

 July 3rd, 2017, 07:34 AM #18 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 I have at last done it. I have finished this now. I know what this is now. This is not a pattern but it is proof that Primes are sort of a recurrence relation. You see this on the first one. The first row for 2 goes up to 3 and 4 2 - 3 + 5 = 4 It's all the range to describe Primes like quantum Physics right now what with the Eigenvalue function so think of this like Quantum tunneling.
July 8th, 2017, 06:58 AM   #19
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 Originally Posted by HawkI Take the Prime you want and the number of Prime it is and you can find the Minimum and Maximum range between the chosen one and the next one. -Prime / n of Prime = || -Prime + (n * ||) + n = a Pronic - (a * (n - 1)) = b b / n = || + = z (1 + z) / 2 = Min + 2 Max +(c * 2) EXAMPLE -3 / 2 = 1 -3 + (2 * 1) + 2 = 1 6 - (1 * (2 - 1)) = 5 5 / 2 = 2 1 + 2 = 3 (1 + 3) / 2 = 2 Min + 2 Max + (2*2) This means that after 3 it can only be 5 or 7 I'm pretty sure this has never been done before, and I think this is why the ancients considered Pronics to be so important. this means round down. |n| this means absolute value
Like why is this not Going viral, this table never existed and is not to be confused with the Sive of Eratosthenes....HERE I solved prime this is Not to be confused with the Sive of Eratosthenes https://m.youtube.com/watch?v=K9gKZNAWZ9M MANUALLY FACTOR ALL NUMBERS AND SPOT ALL PRIMES BETWEEN using GRADE FOUR MATH here is the book 666 which needs a bit of editing.. http://ashesmi.yolasite.com/resource...%20Pet%203.pdf please share! Get the elementary schools to teach this method please! This SOLVES PRIME OK? Like I've had it!

 July 8th, 2017, 07:22 AM #20 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,331 Thanks: 2457 Math Focus: Mainly analysis and algebra Duplicate posr: Why is this not going viral? I Solved prime

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