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
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