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Thread: Prime Numbers

  1. #1

    Default Prime Numbers


    recently (last month) the 45th and 46th Mersenne's prime numbers where discovered.
    reward was $100k. it was a 12,978,189 digits (at around 15mb text file)

    the next reward is for the 100million digits at $150,000

    Bai, All you have to do is find a 100million digit that is a prime number (Mersenne's prime number must be in 2^x-1.

    for the fastest computer today, running at 24hours/day it will take roughly 3 years to verify that the number you are guessing is a prime number and around 40watts per hour sa computer.

    and at least 500+years plus just to test for a billion-th digit.

    kaya?


    How to win $150,000
    Mersenne Awards

    to quote:
    The Electronic Frontier Foundation is offering a $150,000 award to the first person or group to discover a 100 million digit prime number. If you find such a prime with the software provided, GIMPS will claim the award and distribute the award according to rules that have yet to be decided.

    Finding such a prime will be extremely difficult. A single test will take approximately 3 years on a Core 2 Duo computer. Your chance of success is roughly 1 in 2,000,000.



    wierdo mga tao.
    Last edited by jiro; 10-02-2008 at 04:51 PM.

  2. #2
    ka bwisit gud ani nga contest... daghan hasol!

  3. #3
    maypa kato na lang greatest unsolved math problems ang solbon kay $1million pa ang price kaysa kana...

    hehehe

  4. #4
    mura raman sad nig nag taya ta sa lotto..
    hehehehe

  5. #5
    Jackpot (all six winning numbers selected)
    There are a total of 13,983,816 different groups of six numbers which could be drawn from the set {1, 2, ... , 49}. To see this we observe that there are 49 possibilities for the first number drawn, following which there are 48 possibilities for the second number, 47 for the third, 46 for the fourth, 45 for the fifth, and 44 for the sixth. If we multiply the numbers 49 x 48 x 47 x 46 x 45 x 44 we get 10,068,347,520. However, each possible group of six numbers (combination) can be drawn in different ways depending on which number in the group was drawn first, which was drawn second, and so on. There are 6 choices for the first, 5 for the second, 4 for the third, 3 for the fourth, 2 for the fifth, and 1 for the sixth. Multiply these numbers out to arrive at 6 x 5 x 4 x 3 x 2 x 1 = 720. We then need to divide 10,068,347,520 by 720 to arrive at the figure 13,983,816 as the number of different groups of six numbers (different picks). Since all numbers are assumed to be equally likely and since the probability of some number being drawn must be one, it follows that each pick of six numbers has a probability of 1/13,983,816 = 0.00000007151. This is roughly the same probability as obtaining 24 heads in succession when flipping a fair coin!

    from the wires...


    pagkapaet gyud... para lang na sa 6/49.... pagkapaet gyud... mura gyud gataya ug lotto

  6. #6
    Quote Originally Posted by ben77 View Post
    Jackpot (all six winning numbers selected)
    There are a total of 13,983,816 different groups of six numbers which could be drawn from the set {1, 2, ... , 49}. To see this we observe that there are 49 possibilities for the first number drawn, following which there are 48 possibilities for the second number, 47 for the third, 46 for the fourth, 45 for the fifth, and 44 for the sixth. If we multiply the numbers 49 x 48 x 47 x 46 x 45 x 44 we get 10,068,347,520. However, each possible group of six numbers (combination) can be drawn in different ways depending on which number in the group was drawn first, which was drawn second, and so on. There are 6 choices for the first, 5 for the second, 4 for the third, 3 for the fourth, 2 for the fifth, and 1 for the sixth. Multiply these numbers out to arrive at 6 x 5 x 4 x 3 x 2 x 1 = 720. We then need to divide 10,068,347,520 by 720 to arrive at the figure 13,983,816 as the number of different groups of six numbers (different picks). Since all numbers are assumed to be equally likely and since the probability of some number being drawn must be one, it follows that each pick of six numbers has a probability of 1/13,983,816 = 0.00000007151. This is roughly the same probability as obtaining 24 heads in succession when flipping a fair coin!

    from the wires...


    pagkapaet gyud... para lang na sa 6/49.... pagkapaet gyud... mura gyud gataya ug lotto
    grabe jud kaau ang probability ana lotto hehehe
    before gani kay ako gi map out ang kanang nanggawas na nga sa lotto.
    applied behavioral pattern, statistic and so as probability.
    i could say naa jud permi mosakay sa ako gipusta pero lahi nga combination
    naa to nga time ang ang 5 jud kabouk nkuha pero belong to different combination
    hehehe
    most of the time kay 2 numbers ra jud ako maigo.

  7. #7
    mao jud...
    ga nosebleed nosebleed lang ko ani da

  8. #8
    para asa man lagi ning number? nganung worth $150,000 man na? importante diay ni? unsa may makatabang ani sa kalibutan? ^_^ la lang..


    anyway, its looking for 100million digits.
    BISAN PA MAG GUESS TA UG 100,000,000 DIGITS! UNSAON MAN NATO E TYPE!?
    Unsaon gaha nato e type sa notepad and know nga nakaabut na ta ug 100million digits!?

    pwede na ta apil sa Guinness book of records for typing a 100,000,000 digits.

    if ever could guess the 100th million digits,
    the probability of our sucess?
    100,000,000 to 999,999,999 DIGITS - digits po - dili na ang number.
    digits pa lang na.

    we are not looking for a number between 1-100,000,000.
    we are looking for a number that has 100,000,000 digits.
    1,000,000,000,000,000,000,000,000,000,000 <--<< 31 digits palang. 99,999,979 more digits to go.


    subra pa sa lotto kay ang lotto - guess lang nimo 6 digits from 1 to 49.
    Kani kay 100,000,000 DIGITS from 0-9 ang imu e taya.

    mao wierdo mga tao lagi.

    at least dili kita. ^_^

    Hala - good luck!
    Last edited by jiro; 10-02-2008 at 04:55 PM.

  9. #9
    bang!! kujaw gud ani..haha.. in my dreams nlng,i can get everything pa..hehe.,

  10. #10
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    i guess this is where the paranormal istoryans come in.

    asa na man mo? tag-ana ninyo using your saykik powers.

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