WebFeb 7, 2024 · All results of this BOINC Collatz project regarding high steps are invalid. In light of this, there are algorithms that don't find high steps to reduce a number to 1 that are 78 times faster for CPU (7700% faster) and 36 times faster on GPU (3500% faster), so this BOINC project performs 1% as fast on CPU and 3% as fast on GPU as it should. WebSep 22, 2024 · 2. The “stopping time” of a number n is the smallest number of steps it takes for the Collatz orbit of n to reach 1. For example, the stopping time of 10 is 6, and the …
bad news everyone, results of the BOINC Collatz project are invalid
WebOct 27, 2024 · Not exactly sure what your goal is. If your primary goal is just getting the highest_step and highest_num a lot faster than your current code does, then you could … WebTake a number number n n (non-zero positive integer), if n n is even, divide it by 2 2, else multiply by 3 3 and add 1 1. Start over with the result until you get the number 1 1. … talc in hair
Is it possible to describe the Collatz function in one formula?
WebApr 3, 2024 · PDF The three problems of the collatz conjecture were solved. “The lowest number in a suspected or assumed cycle has a lower number which is... Find, read and cite all the research you need ... WebJul 1, 2024 · One of the most famous problems in mathematics that remains unsolved is the Collatz conjecture, which asserts that, for arbitrary positive integer n, a sequence defined by repeatedly applying the function C (n) = 3n+1 if n is odd, or C (n) = n/2 if n is even will always converge to the cycle passing through the number 1. WebFrom the Collatz transforms, it appears so. 54n+53 = 36k+17 a parametric equation 54n + 36 = 36k 3n + 2 = 2k There is a solution here. For n=0,2,4,6... k=1,4,7,10... 2. 36n+35 numbers are also converted to other 36n+35 numbers and then 36n+17 numbers. Let us look for a relation. talc in makeup causes cancer