rxwine
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April 3rd, 2024 at 10:08:22 AM permalink
Quote:

Contrary to what just about every mathematician on Earth will tell you, prime numbers can be predicted, according to researchers at City University of Hong Kong (CityUHK) and North Carolina State University, U.S.




Caught my attention anyway..

Wait, was this an April fools joke.
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April 3rd, 2024 at 3:32:37 PM permalink
Quote: rxwine

Quote:

Contrary to what just about every mathematician on Earth will tell you, prime numbers can be predicted, according to researchers at City University of Hong Kong (CityUHK) and North Carolina State University, U.S.




Caught my attention anyway..

Wait, was this an April fools joke.
link to original post



maybe the primes problem can be done with quantum computers...
Wizard
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April 3rd, 2024 at 7:37:01 PM permalink
Who was the original quote from?
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terapined
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April 3rd, 2024 at 8:09:17 PM permalink
Prime numbers and nature
The 2 major cicada cycles are prime numbers
13 and 17 years
This year is the rare occurrence they will emerge in the same year
last time was 1803.
Another 221 years till they emerger together again
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rawtuff
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April 3rd, 2024 at 9:35:16 PM permalink
Quote: Wizard

Who was the original quote from?
link to original post



It's from here probably:
https://phys.org/news/2024-04-breakthrough-prime-theory-primes.html

Which links to this paper:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4742238

If true, predictability of primes could have huge implications for science and tech.
Last edited by: rawtuff on Apr 4, 2024
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Wizard
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April 3rd, 2024 at 10:51:21 PM permalink
The paper itself was a bit much for me to absorb at this late hour. Please keep me updated on developments.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Mental
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April 4th, 2024 at 11:06:30 AM permalink
Quote: Wizard

The paper itself was a bit much for me to absorb at this late hour. Please keep me updated on developments.
link to original post

The paper is certainly not an April Fool's joke. I skimmed through it and only understand the kernel of the argument. I don't even understand the graphs and what is being mirrored.

What is clear to me is that the paper makes quite a few testable predictions. Anyone working in the field should be able to verify the results quickly if they are correct. Heck, since it was a large team several people on the team should have been able to poke holes in it if it was not mostly correct.

I never understood why prime numbers should not have more structure. If the structure was hiding there in plain sight, this team is going to get a lot o fame.
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unJon
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April 4th, 2024 at 12:14:44 PM permalink
I have a piece of artwork based on Ulam Spiral. Google it if interested in patterns in primes.

I haven’t had a chance to look at this paper and from the sounds of it, I likely wouldn’t be able to follow the math anyway.
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unJon
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April 10th, 2024 at 7:44:45 AM permalink
Popular Mechanics has a short article on this paper, which seems to hit the nail on the head. It’s either nonsense or sense explained in a nonsense way.

https://www.popularmechanics.com/science/a60427695/prime-numbers-study-controversy/
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ThatDonGuy
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April 10th, 2024 at 3:55:36 PM permalink
Prime numbers can't be that predictable - after all, for every positive integer N, there exists at least one set of N consecutive nonprime numbers:


(N + 1)! + 2 through (N + 1)! + N + 1

Okay, there are an infinite number of such sets, as (N + 1 + K)! + 2 through (N + 1 + K)! + N + 1 + K are consecutive and nonprime, which means any subset of N consecutive numbers in that set (e.g. (N + 1 + K)! + 2 through (N + 1 + K)! + N + 1) is also a set of N consecutive nonprime numbers

DRich
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April 10th, 2024 at 7:01:25 PM permalink
Quote: ThatDonGuy

Prime numbers can't be that predictable - after all, for every positive integer N, there exists at least one set of N consecutive nonprime numbers:


(N + 1)! + 2 through (N + 1)! + N + 1

Okay, there are an infinite number of such sets, as (N + 1 + K)! + 2 through (N + 1 + K)! + N + 1 + K are consecutive and nonprime, which means any subset of N consecutive numbers in that set (e.g. (N + 1 + K)! + 2 through (N + 1 + K)! + N + 1) is also a set of N consecutive nonprime numbers


link to original post



I like palindromic primes like 10^1888529 - 10^944264 - 1.
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speedycrap
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April 10th, 2024 at 8:37:01 PM permalink
Quote: unJon

Popular Mechanics has a short article on this paper, which seems to hit the nail on the head. It’s either nonsense or sense explained in a nonsense way.

https://www.popularmechanics.com/science/a60427695/prime-numbers-study-controversy/
link to original post

I read the article but.........
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gordonm888
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April 11th, 2024 at 8:50:03 AM permalink
The reference to "roots" of primes might be referring to integers that satisfy a certain equation. Or it might be goobledy-gook.
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Wizard
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April 11th, 2024 at 5:36:27 PM permalink
I'm hoping Matt Parker, Presh Talwalkar, or anyone with Numberphile takes an interest in it. The mainstream media is very poor at understanding and explaining difficult mathematical topics. However, I have a great deal of respect for everyone just mentioned and would trust their conclusions.
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drmario
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rawtuff
April 11th, 2024 at 7:53:55 PM permalink
The paper has been withdrawn or is no longer available
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