Is the set of prime pairs (p, p+2) finite?

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    Finite Prime Set
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Discussion Overview

The discussion centers around the question of whether the set of prime pairs (p, p+2), known as twin primes, is finite or infinite. Participants are exploring the mathematical implications of this question, particularly in relation to algorithms that utilize prime pairs.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • Michael expresses a need for proof regarding the finiteness or infiniteness of twin primes, indicating a lack of resources and understanding in finding relevant information.
  • One participant suggests looking at a Wikipedia page on prime pairs as a starting point for information.
  • Michael acknowledges the suggestion and humorously reflects on the difficulty of searching for terms related to twin primes, mentioning a misinterpretation that led to unrelated search results.

Areas of Agreement / Disagreement

The discussion does not present any consensus on the finiteness or infiniteness of twin primes, and multiple viewpoints or uncertainties remain unaddressed.

Contextual Notes

Participants have not provided specific proofs or mathematical arguments regarding the twin primes conjecture, and there are indications of confusion in terminology that may affect the search for information.

Michael27
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Hi all,

I have been asked the question by a friend of mine who was working on a computer algorithm where he needed pairs of primes to uniquely identify items in a set.
What I would like to know is there a way to proof that the set of prime pairs (p, p+2) is finite or infinite. I have been looking around for some proof but have yet to locate it. Mostly because I am out of my depth to find meaningful terms to search for.

Any help will be appreciated,
Michael.
 
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Thanks that was rather embarrassing but I'll be using the wiki more often now.
 
Michael27 said:
Hi all,

I have been asked the question by a friend of mine who was working on a computer algorithm where he needed pairs of primes to uniquely identify items in a set.
What I would like to know is there a way to proof that the set of prime pairs (p, p+2) is finite or infinite. I have been looking around for some proof but have yet to locate it. Mostly because I am out of my depth to find meaningful terms to search for.

Any help will be appreciated,
Michael.
goggle "twin primes" but also goggle "twin prunes" because a lot of the ocr stuff is mistakenly translated that way.
 
Oh, that's funny!

Unfortunately, I also got a couple of links to "old men's testicles"!
 

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