Re: [PrimeNumbers] Prime Game
- From: Werner D. Sand
Date: 01/02/06 09:30:35
Subject: [PrimeNumbers] Prime Game
If you sum 3 consecutive odd prime numbers p,q,r, you get a number s
which is either prime or not: p+q+r=s. If s is prime, you call it p
and repeat the game. If s is not prime, you call the greatest prime
factor p and repeat the game. Finally, you get into an infinite
cycle, which is one of the above 3 series, no matter what prime
numbers you choose. Example: p=7
1.) Why doesn't the series diverge? Proof?
I started with 113. How far would I have to go to end up with one of the
I suspect that the termination into one of those three series has something
do with every prime >3 being of the form 6N+1 or 6N-1.
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