Typically, Collatz (or the 3x+1 problem) only applies to integer values for x, but what about non-integer x values? It has been shown that the number of steps to 1 can be computed for some non-integers, but are there more non-integers that also work?
Typically, Collatz (or the 3x+1 problem) only applies to integer values for x, but what about non-integer values? Does Collatz even make sense for non-integers? Find out below.
Recently, a proof of the collatz conjecture was presented. While the proof seems convincing, it does contain a critical flaw.
The collatz conjecture, first proposed in 1937 by Lothar Collatz, is a problem that seems simple, but has confounded mathematicians, who have been unable to prove or disprove it, for decades. So, without further ado, here is a simple proof of the collatz conjecture.
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