Editing 710: Collatz Conjecture
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then save the changes below to finish undoing the edit.
| Latest revision | Your text | ||
| Line 10: | Line 10: | ||
The {{w|Collatz conjecture}} is a longstanding unsolved problem in mathematics. It states that repeating the sequence of operations described in the comic will eventually lead to the number 1. The description in the comic starts out accurate, then veers into the joke. The comic illustrates the sequence with a graph in which an arrow connects each number to its successor. For example, the number 22 is even, so the next number in the sequence is 22 ÷ 2 = 11, and there is an arrow from 22 to 11. On the other hand, 11 is odd, so the next number is 3 × 11 + 1 = 34, and there is an arrow from 11 to 34. According to the caption, [[Cueball]] is obsessively writing out the graph by hand and is so preoccupied with the task that he has stopped socializing with his friends. He will be busy for a very long time, because the Collatz conjecture has been confirmed for all starting values up to 5 × 10<sup>18</sup>. | The {{w|Collatz conjecture}} is a longstanding unsolved problem in mathematics. It states that repeating the sequence of operations described in the comic will eventually lead to the number 1. The description in the comic starts out accurate, then veers into the joke. The comic illustrates the sequence with a graph in which an arrow connects each number to its successor. For example, the number 22 is even, so the next number in the sequence is 22 ÷ 2 = 11, and there is an arrow from 22 to 11. On the other hand, 11 is odd, so the next number is 3 × 11 + 1 = 34, and there is an arrow from 11 to 34. According to the caption, [[Cueball]] is obsessively writing out the graph by hand and is so preoccupied with the task that he has stopped socializing with his friends. He will be busy for a very long time, because the Collatz conjecture has been confirmed for all starting values up to 5 × 10<sup>18</sup>. | ||
| − | + | Tn the title text, the ''Strong Collatz Conjecture'' is a humorous extension of the Collatz Conjecture. Some other mathematical conjectures and axioms also have normal and Strong variants, where the Strong variant gives a more general rule. This practice is further parodied in [[1310: Goldbach Conjectures]]. | |
==Transcript== | ==Transcript== | ||
