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 [Collatz] Tommy's collatz lemma tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 09/11/2014, 08:48 AM Considering collatz and the idea of a nontrivial cycle of odd length L , I have this lemma : If a nontrivial collatz cycle of odd lenght L exists , one of its values must be representable by a mod p for some 0 =< a < p with p a prime , division by 2 is then given by multiplication by (1/2) mod p. multiplication by 3 is still the same ( reduced mod p ). And p is an odd prime divisor of L. regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread [Collatz] Tommy's collatz lemma - by tommy1729 - 09/11/2014, 08:48 AM

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