Talk:Størmer's theorem

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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 ${\displaystyle p_{1}^{e_{1}}p_{2}^{e_{2}}...p_{k}^{e_{k}}}$???

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

${\displaystyle p_{1}^{e_{1}}p_{2}^{e_{2}}...p_{k}^{e_{k}}}$

generated as products of the powers ${\displaystyle e_{i}}$ of ${\displaystyle k}$ given primes ${\displaystyle p_{i}}$ ...

but still I don't understand what the ${\displaystyle e_{i}}$ 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 ${\displaystyle e_{i}}$ any value 1,2,3, ... i.e. each ${\displaystyle e_{i}}$ is set to all positive integers?

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

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

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)[reply]

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