Talk:Størmer's theorem

I don't understand this article
Sorry, I found this article via the "random article" key and must admit I don't understand a word, although I'm quite good in mathematics. What is this set $$p_1^{e_1}p_2^{e_2}...p_k^{e_k}$$???

By a google search I found this page, which at least gave me some ideas, but I still have no real clue.

Whats with this rephrasing: ...Størmer's theorem states that the set of integers


 * $$p_1^{e_1}p_2^{e_2}...p_k^{e_k}$$

generated as products of the powers $$e_i$$ of $$k$$ given primes $$p_i$$ ...

but still I don't understand what the $$e_i$$ are. Obviously the can't be fixed numbers, because then it's only one integer, not a set, so I assume they are in some range. Is the set generated by giving each $$e_i$$ any value 1,2,3, ... i.e. each $$e_i$$ is set to all positive integers?

--Cyfal (talk) 23:00, 29 March 2008 (UTC)

Re: Is the set generated by giving each $$e_i$$ any value 1,2,3, ... i.e. each $$e_i$$ is set to all positive integers?: Yes. —David Eppstein (talk) 23:02, 29 March 2008 (UTC)


 * Hey, quick answer, thank you! Ok, will try to reformulate it in the next days (I need some time because I tend to formulate long complicate sentences myself which I will have to avoid...) --Cyfal (talk) 23:09, 29 March 2008 (UTC)


 * Unbelievable, how can you be so quick? This new explanation is perfect. --Cyfal (talk) 23:32, 29 March 2008 (UTC)