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There Are Infinitely Many Prime Twins

fustflum writes "R. F. Arenstorf from Vanderbilt University has presented a 38-page possible proof of the twin-prime conjecture using methods from classical analytic number theory. The paper is on arxiv.org and is freely available to the public. Twin primes are pairs of primes where both p and p + 2 are prime. "It is conjectured that there are an infinite number of twin primes ... but proving this remains one of the most elusive open problems in number theory." More information about twin primes can be found on Mathworld."

38 of 479 comments (clear)

  1. Number theory by PHP+Wolf · · Score: 5, Funny
    but proving this remains one of the most elusive open problems in number theory

    I think we all know the most elusive open problem in number theory is "How many licks does it take to get to the center of a tootsie pop?"

    --

    Double Compile

    1. Re:Number theory by DarkHelmet · · Score: 3, Funny

      Let's leave the proof to Physics:

      One... two... three... *BITE*

      ............Three.

      --
      /^[A-Z0-9._%+-]+@[A-Z0-9.-]+\.[A-Z]{2,4}$/i
    2. Re:Number theory by Da+Fokka · · Score: 5, Funny

      Reminds me of a funny story I heard at an algorithm course in college.
      Supposedly this guy thought up this new algorithm to calculate large primes in relatively short time. He was granted the use of the university mainframe. He implemented the progam and ran it.
      After a couple of days the printer started printing out the number, which was so large it needed a pack of sheets to fit on.
      Excited, he looked at the sheets to be gravely disappointed. The last digit was an 8.

      Probably an urban legend, but a nice one for sure :)

    3. Re:Number theory by drinkypoo · · Score: 2, Funny
      It probably did happen, but he wrote the bytes out to the file in endian-order a word at a time rather than using sequential bytes, and the last two digits were transposed...

      A story like that can never be true unless it is ultimately cruel.

      --
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    4. Re:Number theory by drinkypoo · · Score: 4, Funny
      By making what has to be approximately the eleventy-teenth reference to the HHGttG you have only made slashdot a more trite place.

      Put another way, you have entirely failed to receive a wrapper depicting an indian shooting a star.

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  2. This is why mathematicians are soooo popular. by The+I+Shing · · Score: 3, Funny

    This stuff is so fascinating that I'm just sure I'll be the life of the party when I start talking about it!

    "You know, mathematicians theorize that there's an infinite number of prime twins, and... hey, where are you going?"

    --
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    1. Re:This is why mathematicians are soooo popular. by servognome · · Score: 5, Funny

      "You know, mathematicians theorize that there's an infinite number of prime twins, and... hey, where are you going?"
      You would have gotten farther if you had said that without staring the whole time at her "prime twins"

      --
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  3. Old news by Hamster+Of+Death · · Score: 4, Funny

    Glancing at my list of twin primes I can see it's infinite.

  4. I have a better proof by Anonymous Coward · · Score: 5, Funny

    but it hit /.'s maximum post size limit :(

  5. Re:Proof by k-zed · · Score: 1, Funny

    I always thought that if God is anywhere to be found, it'll surely have to do something with prime numbers.. these are truly mysterious aspects of our reality.

    --
    we discovered a new way to think.
  6. Can someone buy the editors a dictionary by Timesprout · · Score: 2, Funny

    possible proof of the twin-prime conjecture

    The words possible and conjecture appear above. Where does the definitive statement "There Are Infinitely Many Prime Twins" come into it? Have the the /. editors secretly managed to prove this theory before posting it ?

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  7. 38 pages? by Wakkow · · Score: 5, Funny

    They should have put it in 37 pages..

    1. Re:38 pages? by Anonymous Coward · · Score: 2, Funny
      They should have put it in 37 pages..

      Yes 37 is prime, but 41 is the nearest *twin* prime (with 43). So they should add 3 pages.

    2. Re:38 pages? by Anonymous Coward · · Score: 1, Funny


      Dude, you know nothing. Anything but 42 pages is a meaningless number.

  8. Well, one thing's for sure.. by robbo · · Score: 5, Funny

    they're all odd.

    (Waiting for my spot in the math hall of fame)

    --
    So long, and thanks for all the Phish
    1. Re:Well, one thing's for sure.. by Anonymous Coward · · Score: 2, Funny

      0/0 = 0 I was going to refute your post, but got a divide by zero error while thinking about it. Please be more careful next time.

    2. Re:Well, one thing's for sure.. by mblase · · Score: 2, Funny

      erm. except 2.

      And don't you find that a bit odd? *rimshot*

  9. Calm down, boys ... by RealAlaskan · · Score: 4, Funny

    That's ``twin primes'', not ``prime twins''. So, no, there is not an infinite supply of hot double dates.

  10. Alien by Juiblex · · Score: 4, Funny

    In what Alien language is the article written???

  11. Re:I didn't RTFA by Anonymous Coward · · Score: 1, Funny


    While there are infinite amount of numbers, there are more numbers than others.

    For an instance, there are more irrational numbers than integers. This has been mathematically proven.

    This proof also shows why it is highly unlikely for a mathematics graduate to ever get a date, and is in fact impossible that they get a pretty one.

    Just FYI.

  12. The REAL "Prime Twins" by Eric(b0mb)Dennis · · Score: 1, Funny

    Just check how long until the Olsen Twins are legal

    --
    Excuse me, I don't mean to impose, but I am the ocean
  13. twins by sacrilicious · · Score: 4, Funny
    Twin primes are pairs of primes where both p and p + 2 are prime.

    Even rarer are those pairs of primes known as the "conjoined twin" primes: those of the form p and p+1. Not many examples are known, but perhaps an infinite number are waiting to be discovered.

    --
    - First they ignore you, then they laugh at you, then ???, then profit.
  14. Ugh... math... by gwoodrow · · Score: 3, Funny

    I tried to read through some of the paper and math websites... and I was suddenly reminded why the diploma that will be handed to me at the end of the summer will say:
    "Steven Gregory Woods... ENGLISH major"
    Hopefully, math will turn out to be just a fad :)

  15. Thank goodness! by DanielMarkham · · Score: 3, Funny

    Now I have something to use at the bars to pick up chicks this weekend! "Hey babe, I don't know how cute you think you are, but I know there are an infinite number of prime twins just waiting to factor this integer." That number theory talk always gets them interested.

  16. He makes a mistake... by b0r0din · · Score: 5, Funny

    Look on page 27. He's trying to integrate homeomorphic convergence using a Baxter-Bates supermodality, which Krause clearly explained is impossible for T(s) in a non-linear progression.

    Ok, just fuckin with ya. My mind wandered after I saw the word 'Abstract.' ;)

    1. Re:He makes a mistake... by Lord+Graga · · Score: 2, Funny

      I wonder if it's just me, or did a horde of really scary math geeks just mod that up? I sure didn't get it ;)

    2. Re:He makes a mistake... by Anonymous Coward · · Score: 5, Funny

      Yeah, I see a lot of people attempting to integrate homophobic conformance using Master-Bates supermoodality, which Krauds exploded as impenetrable for T/bag in a non-lesbian prostation.

  17. I have a better proof, and it fits by Atario · · Score: 3, Funny
    1. Given: There are infinitely many primes.
    2. Given: A certain positive percentage of primes differ by two.
    3. Given: Infinity times any positive number is infinity.
    4. Therefore: There are infinitely many primes that differ by two.
    That's my story and I'm stickin' to it.

    (Spot the logical error and you win a cookie!)
    --
    "A great democracy must be progressive or it will soon cease to be a great democracy." --Theodore Roosevelt
    1. Re:I have a better proof, and it fits by Atario · · Score: 3, Funny

      Ding ding ding! We have a winnah!

      You will find your cookie on your hard drive, assuming you're logged in to Slashdot.

      --
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  18. Infinite number of prime twins yes, but... by StandardCell · · Score: 2, Funny

    There are still only four lights...

  19. 20 years work & progress w/ Goldbach's Conjec by Charles+Dodgeson · · Score: 2, Funny
    From the article
    This work is the outcome of about twenty years of "on and off" search and research on this and the related binary Goldbach problem; in the interim having been lured onto various misleading paths or frustrated by (for me) insurmountable difficulties, before ultimately recognizing and constructing a workable approach.
    I am inexplicably hyped about this. And I'd love to see a proof of Goldbach's conjecture in my lifetime.

    In the mode of some car-insurance commercial running in the US, I ran into my wife's office and said, "I've got great news!". Somehow, she didn't share my enthusiasm.

    When I was in high-school in 1978, my math teacher, Alan Crokall (sp?) gave me the programing/math assignment of either proving Goldbach's Conjucture or finding a counter example. He later explained that he wanted me to find the counter example so that it could be called "Goldberg's rejecture of Goldbach's conjecture".

    And you can find out about Goldbach's conjecture if you don't already know what it is.

    --
    Prime numbers are exactly what Alan Greenspan says they are -S. Minsky
  20. Obvious Generalization by geordieboy · · Score: 4, Funny

    I propose the geordieboy conjecture:

    There are an infinite number of prime n-pairs, where
    an n-pair is a pair of prime integers (p,p+n).

    I also propose geordieboy's second conjecture:

    There are an infinite number of prime tuples, where a prime
    tuple is a set of prime integers of the form (p+a,p+b,p+c,...)
    where (a,b,c,...) is a set of any integers of your choosing.

    Get stuck in you poor bastards!

    --
    The world is everything that is the case
  21. Well guess what by tekiegreg · · Score: 2, Funny

    We can all agree to this:

    1) There are an infinite number of numbers out there (hence the word infinite)
    2) Therefore there would have to be infinite number of primes
    3) Therefore there would have to be an infinite number of twin primes
    4) Even if I have to go out to the numbers in the infinitieth range of digits, and the infinitieth range beyond that...and the *head explodes....brain stack overflow...*

    --
    ...in bed
  22. cos(), sin() ! by Anonymous Coward · · Score: 1, Funny
    I'm just amazed to see trig stuff be part of the proof.

    I never would have expected those things to be related to primes.

  23. Re:Other Number Theory Tricks? by Jim+Starx · · Score: 3, Funny
    Here's an interesting one, this is guarenteed to piss off any math student that doesn't get it.

    if a=b, then:

    a^2=ab
    a^2-b^2=ab-b^2
    (a-b)(a+b)=b(a-b)
    a+b=b

    substitute in the original a=b equation

    2a=a
    2=1

    wtf? So where's the error? :)

    --
    The darkness... controls the music. The music... controls the soul.
  24. Such as... by Anonymous Coward · · Score: 1, Funny

    Teaching you to spell?

    Teaching you to think would probably be a good thing too - but I'm not sure a mathematician would be appropriate for that task.

  25. Re:Proof by bgspence · · Score: 2, Funny

    Pi isn't infinite. In fact it is a bit less than four. And, four is finite.

  26. Re:Thanks not flames by Anonymous Coward · · Score: 1, Funny

    Hell yes, the europeans fought. Especially the germans.