----------------------------3x+1----------------------------- The 3x + 1 semigroup has been used to prove a weaker form of the Collatz conjecture. In fact, it was in such context the concept of the 3x + 1 semigroup was introduced by H. Farkas in 2005. Various generalisations of the 3x + 1 semigroup have been constructed and their properties have been investigated.It was discovered in 1952 by B. Thwaites. -=-=-=-=-=-=-=-=-=-Instructions-=-=-=-=-=-=-=-=-=-= -Enter a number And it will whir away! -Press 'D' for list -Space resets and starts the loop again -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- Thanks to B. Thwaites for the semigroup Cannonblade is the music Thanks to @griffpatch for the counter Thanks to Google Drawing for fonts And The rest is by me -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
