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The Collatz conjecture [a] ... b and c are non-negative integers, ... this inverse relation forms a tree except for the 1–2–4 loop ...
For example, the following loop will, in theory, never stop. However, it may halt when executed on a physical machine due to arithmetic overflow: either leading to an exception or causing the counter to wrap to a negative value and enabling the loop condition to be fulfilled. i := 1 loop until i = 0 i := i + 1
Conjectura de Collatz; Usage on eu.wikipedia.org Collatzen aierua; Usage on fi.wikipedia.org Collatzin konjektuuri; Usage on fr.wikipedia.org Conjecture de Syracuse; Usage on hu.wikipedia.org Collatz-sejtés; Usage on ja.wikipedia.org コラッツの問題; Usage on www.wikidata.org Q837314; Usage on zh-yue.wikipedia.org User ...
English: This is a graph, generated in bottom-up fashion, of the orbits of all numbers under the Collatz map with an orbit length of 20 or less. Created with Graphviz, with the help of this Python program: # This python script generates a graph that shows 20 levels of the Collatz Conjecture.
The following other wikis use this file: Usage on ca.wikipedia.org Conjectura de Collatz; Usage on eu.wikipedia.org Collatzen aierua; Usage on fr.wikipedia.org
Lothar Collatz (German:; July 6, 1910 – September 26, 1990) was a German mathematician, born in Arnsberg, Westphalia. The "3x + 1" problem is also known as the Collatz conjecture, named after him and still unsolved. The Collatz–Wielandt formula for the Perron–Frobenius eigenvalue of a positive square matrix was also named after him.
Conjecture Field Comments Eponym(s) Cites 1/3–2/3 conjecture: order theory: n/a: 70 abc conjecture: number theory: ⇔Granville–Langevin conjecture, Vojta's conjecture in dimension 1 ⇒Erdős–Woods conjecture, Fermat–Catalan conjecture Formulated by David Masser and Joseph Oesterlé. [1] Proof claimed in 2012 by Shinichi Mochizuki: n/a ...
[4] [6] He proved Keller's conjecture in dimension seven in 2020. [7] In 2018, Heule and Scott Aaronson received funding from the National Science Foundation to apply SAT solving to the Collatz conjecture. [7] In 2023 together with Subercaseaux, he proved that the packing chromatic number of the infinite square grid is 15 [8] [9]