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Thread: Fifth Prime!!!!! Merry Christmas!

  1. #1

    Talking Fifth Prime!!!!! Merry Christmas!

    Announcement is up on the homepage!

    http://www.seventeenorbust.com/

    Meet 54767•2^1337287+1 -- the 8th largest prime in the world

    Looks like we pulled one more prime out just in time for Christmas!




    Everyone have a happy and safe holiday. Peace.

    -Louie

  2. #2
    Senior Member dmbrubac's Avatar
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    All right!

    12 or Bust. Maybe we can do one for each day of Christmas.

    Maybe not.

  3. #3
    Downsized Chinasaur's Avatar
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    Congratulations on 5th Prime !

    Go out to Team EBT and craco

    Good work all...we're now down to Twelve or Bust!!

    Merry Christmas and a happy New Year


    Agent Smith was right!: "I hate this place. This zoo. This prison. This reality, whatever you want to call it, I can't stand it any longer. It's the smell! If there is such a thing. I feel saturated by it. I can taste your stink and every time I do, I fear that I've somehow been infected by it."

  4. #4
    Wheee.. wonder how long until we find the 6th.

  5. #5
    Peaches Moogie's Avatar
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    Great job!






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  6. #6
    Senior Member Frodo42's Avatar
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    Well in Denmark it's past christmas, but never mind.



    This project is rocking

  7. #7
    Whee!

    And Happy Holidays everyone!

  8. #8
    Senior Member eatmadustch's Avatar
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    not so fast please, I want to find one too
    EatMaDust


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  9. #9
    Senior Member Supp's Avatar
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    Great work!
    rm -Rf /

  10. #10
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    Needless to say that I'm very happy with this Christmas present..

    Who will be the next one?

    Happy holidays everyone and keep up the good work here at SoB...

    Greetzz,

  11. #11
    Not here rsbriggs's Avatar
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    Hopefully the press release (hint hint - don't recall one for the third or fourth number) will hit just after the first of the year, and bring in even more people! Congratulation to everyone at SoB, er, make that ToB...

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  12. #12
    I want one! lol

  13. #13
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    8th or 7th largest?

    I'm not sure, but according to Chris Caldwell's database, the new discovery should be the 7th largest known prime, not the 8th largest. Also, congratulations on the discovery of the largest known Proth prime, as Sander pointed out on the primes list! (Technically, a Proth prime k*2^n+1 is one in which k < 2^n, as this condition is what allows such a number to be fairly easily proven prime.)

  14. #14
    Unbelievable is all I can say. Think of how far this project has come in so short a time. Here's to EoB

  15. #15
    i think philmoore is right, it's the 7th, not the 8th.

    i corrected the website post already. thanks.

    -Louie

  16. #16
    It's official--Chris Caldwell posted a new prime list today, and the SB primes are on it. 54767•2^1337287+1 is indeed the 7th largest known prime.

  17. #17
    Senior Member eatmadustch's Avatar
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    where is this list of primes? I'm doing a maths project on primes and it sure would be useful!
    Thanks
    EatMaDust


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  18. #18
    where is this list of primes? I'm doing a maths project on primes and it sure would be useful!
    Follow the links on this site.

  19. #19
    Not here rsbriggs's Avatar
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    Yay! We're official !!! Looking forward to the next one - we should be pushing towards the number 2 or three spot !!!!


  20. #20
    Senior Member eatmadustch's Avatar
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    the find the 2nd largest prime would mean that it would have to have more than 2'098'960 digits, and that means n would have to be more than 6972595 (ok, that's without calculating the k, but that has hardly any weight anyway). I'm afraid that's going to be a while yet! Don't forget, such a test would also take quite a long time, more than just the usual few days!
    EatMaDust


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  21. #21
    I love 67607
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    As a very "rough" rule of thumb, I simply divide the N value that is tested by 3.322 to find the number of digits approximately. It seems to work quite nicely due to the nature of 2^n in the formula (value increases 1 digit for each 2^3.322~).

    When I am not after exact number of digits, but looking for just an idea on what range I am crunching, I simply multiply N with three and drop the last digit (I find it easier to do, it doesn't matter for me to be a few percentages off unless it really turns out to be prime).


    44131: 995972 / 3.322 => 299811 (real one is 299823 digits)
    46157: 698207 / 3.322 => 210177 (real one is 210186 digits)
    65567: 1013803 / 3.322 => 305179 (real one is 305190 digits)
    69109: 1157446 / 3.322 => 348418 (real one is 348431 digits)
    54767: 1337287 / 3.322 => 402555 (real one is 402569 digits)

    For those interested in GIMPS, this works there as well. Forexample;

    13466917 / 3.322 => 4053858 (real one is 4053946 digits)
    or;
    13.5 million * 3/10 => 4.05 million.

  22. #22
    I've been using this page to calculate digits...

    http://www.mersenne.org/bench.htm

    I wonder how accurate it is? Here is some of the code...

    Code:
    //Compute decimal digits
        document.mersenne.digits.value = Math.floor (exp * 0.301029995664 + 1);

  23. #23
    The formula Nuri gave was approximately.

    And 1/3.322=0.301023478 so thats pretty close.

  24. #24
    I love 67607
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    I see now that when mutiplying by 3 and dropping the last digit, I was simply ignoring the 0.001029995664 part of the multiplier (ie. 0.3 instead of 0.301029995664).

  25. #25
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    Originally posted by craco
    Needless to say that I'm very happy with this Christmas present..

    Who will be the next one?

    Happy holidays everyone and keep up the good work here at SoB...

    Greetzz,
    Heee, Craco....

    Don't believe I've ever congratulated you on (y)our own board, but CONGRATS....


    (I know I'm late :sleepy:
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  26. #26
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    Originally posted by jwolfe
    It's official--Chris Caldwell posted a new prime list today, and the SB primes are on it. 54767•2^1337287+1 is indeed the 7th largest known prime.
    Grumble. Now it's the 8th... 1483076^65536+1 (404434 digits) was discovered in 2003 and took 6th place. At least our next one will be higher than that

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