# The relation between the Riemann Hypothesis and lucky numbers

• Nov 8th 2009, 11:37 AM
picozzi
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:
Attachment 13781

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.
• Nov 9th 2009, 04:25 AM
HallsofIvy
What do you mean by "Lucky numbers"?
• Nov 9th 2009, 06:04 AM
chisigma
Quote:

Originally Posted by HallsofIvy
What do you mean by "Lucky numbers"?

http://en.wikipedia.org/wiki/Lucky_number

The $\displaystyle L(n) <90$ 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! (Rofl)…

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$
• Nov 9th 2009, 11:54 AM
wonderboy1953
Suggestion
http://www.mathhelpforum.com/math-he...s-image003.png It would help to increase the size of the font as I can't read it.
• Nov 9th 2009, 12:01 PM
picozzi
Fonts!
Just click on the image! I don't know how increase it
• Nov 9th 2009, 02:15 PM
picozzi
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.