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Topic: Primes...
Replies: 14   Last Post: Feb 11, 2003 7:41 AM

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Jon Miller

Posts: 37
Registered: 12/6/04
Re: Primes...
Posted: Jan 30, 2003 12:23 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


Jeremy wrote:

>I was idly wondering, if P_n is the nth prime, does:
>lim n-> infinity P_(n+1) / P_n exist?
>

Okay, that's fine.

Now, you have to decide whether you want to work on it or not. If so,
how. Or, just keep idly wondering.

The problem has been solved, so working on it won't bring you any glory,
but it can bring you insights, so I won't spoil it for you if you don't
want me to.

Jon Miller

Spoiler
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The prime number says the limit has to be 1. Proved independently by
Hadamard and de la Vallee Poussin in 1896.




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