What a great picture that is . It ' s true , isn ' t it . They are the best friend we have . I hope there is a Rainbow Bridge , and your Buddy and my Charley and my Slink are there , waiting . All our furries are waiting there for all of us . I hope . <| sep |> fuck you mean colorized boi that shit only works with old timey history shit not a 2016 movie with a goddamn 3 D release <| sep |> You will not be able to solve it with the existing mathematical machinery . Many many people have tried and gotten nowhere . Read Tao ' s take on it c o l l a t z c o n j e c t u r e l i t t l e w o odoffordtheoryandpowersof 2 and 3 Solving Collatz seems to require either a breakthrough in our understanding of how multiplication and addition interact specifically , how 1 interacts with multiplication or a breakthrough in ergodic theory that would allow us to say something about individual orbits rather than just almost everywhere statements . Either of those breakthroughs would have far reaching consequences well past Collatz . For a more concrete answer , if you ever think you have a plan for solving it check two things . First , make sure you ' re not trying to appeal to anything involving probability or randomness since that will at best lead to the statement that Collatz holds for a density one set of integers and this was proven in 1979 . Second , make sure that your approach wouldn ' t also work for the 5 n 1 variant if n is even divide by 2 if n is odd go to 5 n 1 since it ' s easy to show that that variant does not always end at 1 .