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Math Help - Prime numbers info

  1. #1
    Senior Member OReilly's Avatar
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    Prime numbers info

    How many prime numbers has been discovered to this day and what is at the moment highest prime number?
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    Quote Originally Posted by OReilly
    How many prime numbers has been discovered to this day and what is at the moment highest prime number?
    Many. Hope that helps.



    There is a class of primes called "Mersenne Primes" they have form 2^n-1. One interesting fact is that if this number is prime then n must it self be prime! If I remember properly-(I might be wrong)that,
    2^{65537}-1 is prime,
    I only remember that because
    65537=2^{2^4}+1 a Fermat prime.
    I think it might be among the highest.
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  3. #3
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    Quote Originally Posted by ThePerfectHacker
    Many. Hope that helps.



    There is a class of primes called "Mersenne Primes" they have form 2^n-1. One interesting fact is that if this number is prime then n must it self be prime! If I remember properly-(I might be wrong)that,
    2^{65537}-1 is prime,
    I only remember that because
    65537=2^{2^4}+1 a Fermat prime.
    I think it might be among the highest.
    As of Dec 2005 the record holder is: 2^{30402457}-1

    RonL
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    There are many resources listed in the Open Directory Project.

    Your questions are answered on The Prime Pages.
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    Yet no-one was able to develope a prime producing algorithm.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ThePerfectHacker
    Yet no-one was able to develope a prime producing algorithm.
    I have one, but it's too long to post here. (Actually I'm just saying that because I'm going on a trip next weekend and if I die this will give me something to be famous for!)

    -Dan
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  7. #7
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    Quote Originally Posted by topsquark
    I have one, but it's too long to post here. (Actually I'm just saying that because I'm going on a trip next weekend and if I die this will give me something to be famous for!)

    -Dan
    that was hardy's trick
    or atleast he thought god would therefore not let him die, as to not let him die with posthumous fame, like fermat's last theorem.
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  8. #8
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    Quote Originally Posted by topsquark
    I have one, but it's too long to post here. (Actually I'm just saying that because I'm going on a trip next weekend and if I die this will give me something to be famous for!)

    -Dan
    I hope you are serious.

    Anyway, it cannot be a polynomial remember that.
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