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Math Help - Prime number proof

  1. #1
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    Prime number proof

    Hi, is anyone able to help me achieve this proof?

    Prime number proof-proof3.png

    Thanks!

    Lexi
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  2. #2
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    Re: Prime number proof

    Hey LexiBelle.

    Do you have some background context for your problem? Is this function a subset of a more general set of results?
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  3. #3
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    Re: Prime number proof

    Hey Chiro,

    Well the general chapter title is Dirichlet's theorem on primes in arithmetic progressions.

    I think I am meant to be using similar theory to that of proving a different theorem, whereby we used the introduction of a(n) to replace the summation part and A(x) by sums over n <= x. Then we replace a(n)logn/n.

    Does this look familiar at all? I cant say im comfortable with the whole thing.
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  4. #4
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    Re: Prime number proof

    What about the prime number theorem? (i.e. log(n)/n)?

    I only have a very elementary background in number theory but log(n)/n looks like something to do with the prime counting function.
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  5. #5
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    Re: Prime number proof

    Yeah like im sure this will be involved somewhere. Im guessing some kind of integration by parts using this etc. But not exactly sure how I am to set this up, like the first few lines of working....?
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