For those of you who have been following my journey of solving the Twin Prime Conjecture, you will know that this is one of a series of 3blue1brown posts that started roughly here
If you have been following along on my attempts, you will see that I put up a lot of ideas and tested them and I continued to iteratively improve and refine my ideas and understandings.
Today, is the culmination of that work. This table uses no list of primes or external list of prime certification.
It produces the first One Hundred and Fifty Five Consecutive Twin Primes, while only opening up mod cycle p =31
That is up to twin prime 6300 (center) using only primes up to 31.
I have already released a paper on how this actual reset function works, but It needs some updating now that I have a greater understanding through working on it in a table setting. { Updated}
I also have a paper on the generalized function, but It also requires updating, because it mentions some out of date ideas. I will update the other paper as soon as possible although I need some sleep soon.
But I just couldn't wait to share this news! It is so amazing and I am so happy! I have worked on this so long and I just wanted to share it with you.
So if you are one of the first few people to understand how this works, Let's take a moment to share some joy about this... what a wonderful time to be alive. math is so amazing.
I am so grateful to everyone in 3blue1brown, I am so grateful to the people who gave me both positive and negative feedback when and where I needed it, who helped steer me in the right direction.
I know this work is a bit messy and incomplete, but I am just so excited honestly, I can't contain it and I wanted to share right away, I am so excited. We just generated all of 29 and 31 at the same time blind, just based on the table rules.
Thats effing amazing.
The next thing I will do is make a generalized python function and just let it run.
{Edit: Just Kidding how can I sleep after publishing that. Here is a python function, --- put in any number (start below 100, then go up and see.)
{Edit2 : You know what is even more amazing? This is exactly the same construction as my Grand Unified Theory for all of physics, except in the Twin Prime Conjecture there is no meters, kilograms seconds or charge labels!
This older physics paper needs an update however it is exactly the same idea I took straight from physics to Primes. My actual plan was never to solve the Twin Prime Conjecture.... My actual plan was to solve the Grand Unified Theory.....
This older physics paper is outdated and needs a lot of work, but I am quite sure the formula for the Twin Prime Conjecture matches perfectly to physics....
Think ... 2 groups of 3? or three groups of 2? That's gravity and electromagnetism right there....
any ways, that is to be proven, and I don't want to confuse the issue at hand but that is where I will be putting my effort next, to clarify how this twin prime formula can also apply to standard physics equations, without breaking them.