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+--- Thread: [Collatz] Tommy's collatz lemma (/showthread.php?tid=922)
[Collatz] Tommy's collatz lemma - tommy1729 - 09/11/2014
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