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Math Help - The relation between the Riemann Hypothesis and lucky numbers

  1. #1
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    The relation between the Riemann Hypothesis and lucky numbers

    Hello, everyone! For 10 months I was finding a relation between the Riemann Hypothesis and lucky numbers, and finally I have found (I hope without mistakes of my too long proof) an equivalence of RH using the lucky numbers. It says that:

    Let be L(n) the nth-lucky number, then RH is true if and only if:
    The relation between the Riemann Hypothesis and lucky numbers-image003.png

    And now I don't know how to demonstrate this relation without using the RH. Can you say something about?
    If you want to talk about my proof, I prefer that you contact me separately with my mail address. Thank you.
    Last edited by picozzi; November 8th 2009 at 01:11 PM.
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  2. #2
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    What do you mean by "Lucky numbers"?
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  3. #3
    MHF Contributor chisigma's Avatar
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    Quote Originally Posted by HallsofIvy View Post
    What do you mean by "Lucky numbers"?
    http://en.wikipedia.org/wiki/Lucky_number

    The L(n) <90 are…

    1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, 43, 49, 51, 63, 67, 69, 73, 75, 79, 87

    May be that if I stake five of them at the ‘Supernalotto’ [an italian public lottery…] I will gain the ‘jakpot’ : about 80 Milions or Euro!


    Kind regards


    \chi \sigma
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    Suggestion

    It would help to increase the size of the font as I can't read it.
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  5. #5
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    Fonts!

    Just click on the image! I don't know how increase it
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  6. #6
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    Zeros

    The firsts zeros of the series indicated in my formula are:
    n= 2,4,6,16,20,22,24,2684,2686,2688,2696,2710,2712

    and there are no zeros from n=2714 to 141112.My calculators are not powerful, sorry.
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