It has been shown that there are only $\displaystyle 6 $ Lucky Numbers of Euler.

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- Jul 8th 2010, 06:39 PMchiph588@
- Jul 9th 2010, 12:59 AMmelese
- Jul 9th 2010, 09:39 AMnovice
If you interested, you can google "Lucky number". It will take you to Sieve of Eratosthenes. You can a little fun with it. It is still to be discovered whether there is infinite lucky numbers. You can write a computer program and find the lucky numbers.

You can also google Euler's Lucky Numbers and compare it. It says that someone has already proved that there are only six Euler's lucky numbers, but I didn't understand the material. - Jul 9th 2010, 10:02 AMchiph588@
Apparently the proof for finite Euler Lucky Numbers is a corollary of The Stark-Heegner Theorem.

- Jul 9th 2010, 10:41 AMnovice
Wow, interesting history. Too bad Heegner didn't get to see his work being appreciated.

I skipped the math part because I have not studied groups, rings, and fields. No comprehende.