Topic: Collatz Conjecture
Catherine !TGirlYJKXM started this discussion 9 years ago #57,306
Take any positive number. n
If n is even, divide by 2.
If n is odd, multiply by 3 and then add 1.
Keep doing this and eventually ALL numbers will end up to 1.
If n is even, divide by 2.
If n is odd, multiply by 3 and then add 1.
Keep doing this and eventually ALL numbers will end up to 1.
Wildchild !GjXpatdBd. joined in and replied with this 9 years ago, 2 minutes later[^] [v] #736,643
I got 0.56!
Wildchild !GjXpatdBd. double-posted this 9 years ago, 4 minutes later, 6 minutes after the original post[^] [v] #736,645
I'm confused..
I took 25 and then I divided it by two and then two some more and then I pressed on a button on the calculator and then another one and then I got 0.56.
I took 25 and then I divided it by two and then two some more and then I pressed on a button on the calculator and then another one and then I got 0.56.
The Doctor !7MHPahvoGY joined in and replied with this 9 years ago, 3 minutes later, 10 minutes after the original post[^] [v] #736,649
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 1 minute later, 11 minutes after the original post[^] [v] #736,652
@736,645 (Wildchild !GjXpatdBd.)
25 is an odd number. You'd have to do 3(25)+1 which gives you 76, an even number, then you divide by 2.
25 is an odd number. You'd have to do 3(25)+1 which gives you 76, an even number, then you divide by 2.
Wildchild !GjXpatdBd. replied with this 9 years ago, 1 minute later, 13 minutes after the original post[^] [v] #736,653
@previous (Catherine !TGirlYJKXM)
> 25 is an odd number. You'd have to do 3(25)+1 which gives you 76, an even number, then you divide by 2.
I got 38.
> 25 is an odd number. You'd have to do 3(25)+1 which gives you 76, an even number, then you divide by 2.
I got 38.
Anonymous D joined in and replied with this 9 years ago, 1 minute later, 15 minutes after the original post[^] [v] #736,654
@OP
> Take any positive number. 3
> If n is even, divide by 2.
> If 3 is odd, multiply by 3 (9)and then add 1 4.
>
> Keep doing this and eventually ALL numbers will end up to 1.
> If 4 is even, divide by 2 2.
> If 2 is even, divide by 2 1.
> Keep doing this and eventually ALL numbers will end up to 1.
What. A. Waste. Of. Time.
> Take any positive number. 3
> If n is even, divide by 2.
> If 3 is odd, multiply by 3 (9)and then add 1 4.
>
> Keep doing this and eventually ALL numbers will end up to 1.
> If 4 is even, divide by 2 2.
> If 2 is even, divide by 2 1.
> Keep doing this and eventually ALL numbers will end up to 1.
What. A. Waste. Of. Time.
Wildchild !GjXpatdBd. replied with this 9 years ago, 50 seconds later, 16 minutes after the original post[^] [v] #736,656
I still don't really understand..
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 4 minutes later, 20 minutes after the original post[^] [v] #736,657
@736,654 (D)
It's the mathematics problem that mathematician Jeff Lagarias says that mathematics just isn't ready for.
It's the mathematics problem that mathematician Jeff Lagarias says that mathematics just isn't ready for.
Wildchild !GjXpatdBd. replied with this 9 years ago, 1 minute later, 21 minutes after the original post[^] [v] #736,658
I know how to add and subtract.
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 1 minute later, 22 minutes after the original post[^] [v] #736,659
@736,654 (D)
3 which is odd.
3(3)+1 = 10
10 / 2 = 5
5(3)+1 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
It looked like you made a typo.
3 which is odd.
3(3)+1 = 10
10 / 2 = 5
5(3)+1 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
It looked like you made a typo.
Wildchild !GjXpatdBd. replied with this 9 years ago, 1 minute later, 23 minutes after the original post[^] [v] #736,660
What is your favorite number? My favorite number is 7.
Anonymous D replied with this 9 years ago, 1 minute later, 25 minutes after the original post[^] [v] #736,662
@736,659 (Catherine !TGirlYJKXM)
I see it now, what a dumbass mistake that was. Regardless, how do you even find these weird things?
I see it now, what a dumbass mistake that was. Regardless, how do you even find these weird things?
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 1 minute later, 26 minutes after the original post[^] [v] #736,663
The number 63,728,127 takes over 949 steps before it reaches 1.
http://www.nitrxgen.net/collatz/63728127/
http://www.nitrxgen.net/collatz/63728127/
Catherine !TGirlYJKXM (OP) double-posted this 9 years ago, 3 minutes later, 29 minutes after the original post[^] [v] #736,667
@736,662 (D)
I just discovered this when browsing YouTube and found it interesting how such a problem that any 4th grader can play around with is one of the most complex problems that stumps mathematicians. They are mostly stumped by the lack of patterns. Ambiguity also freaks me the fuck out so not knowing why all of these numbers will eventually end up with 1 somewhat gives me chills.
I just discovered this when browsing YouTube and found it interesting how such a problem that any 4th grader can play around with is one of the most complex problems that stumps mathematicians. They are mostly stumped by the lack of patterns. Ambiguity also freaks me the fuck out so not knowing why all of these numbers will eventually end up with 1 somewhat gives me chills.
Anonymous D replied with this 9 years ago, 4 minutes later, 33 minutes after the original post[^] [v] #736,671
@previous (Catherine !TGirlYJKXM)
I've noticed that you like to creep yourself out or something like that. I try to make myself scared at times but it never works.
I've noticed that you like to creep yourself out or something like that. I try to make myself scared at times but it never works.
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 6 minutes later, 39 minutes after the original post[^] [v] #736,672
Wildchild !GjXpatdBd. replied with this 9 years ago, 5 minutes later, 44 minutes after the original post[^] [v] #736,675
Numbers are pretty cool.
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 17 minutes later, 1 hour after the original post[^] [v] #736,682
The number 666 takes 113 steps to reach 1.
http://www.nitrxgen.net/collatz/666/
Now I'm not sure how this problem cannot be proven when it's clear that it leads to 1.
https://www.youtube.com/watch?v=iALl05kUgy4
How on Earth could this lead to infinity?
http://www.nitrxgen.net/collatz/666/
Now I'm not sure how this problem cannot be proven when it's clear that it leads to 1.
https://www.youtube.com/watch?v=iALl05kUgy4
How on Earth could this lead to infinity?
Catherine !TGirlYJKXM (OP) double-posted this 9 years ago, 13 hours later, 14 hours after the original post[^] [v] #736,805
I <3 This Math Problem.
Catherine !TGirlYJKXM (OP) triple-posted this 9 years ago, 42 minutes later, 15 hours after the original post[^] [v] #736,807
This guy says that this conjecture has yet to be proven. Maybe my tiny brain cannot comprehend this, but how can it be unproven when all numbers seem to end up at 1?
https://www.youtube.com/watch?v=iALl05kUgy4
https://www.youtube.com/watch?v=iALl05kUgy4
brie !kGoudaMCFA joined in and replied with this 9 years ago, 44 minutes later, 15 hours after the original post[^] [v] #736,814
@previous (Catherine !TGirlYJKXM)
In mathematics, any number of cases supporting a conjecture, no matter how large, is insufficient for establishing the conjecture's veracity, since a single counterexample would immediately bring down the conjecture. Mathematical journals sometimes publish the minor results of research teams having extended the search for a counterexample farther than previously done. For instance, the Collatz conjecture, which concerns whether or not certain sequences of integers terminate, has been tested for all integers up to 1.2 × 1012 (over a trillion). However, the failure to find a counterexample after extensive search does not constitute a proof that no counterexample exists nor that the conjecture is true, because the conjecture might be false but with a very large minimal counterexample.
Instead, a conjecture is considered proven only when it has been shown that it is logically impossible for it to be false.
In mathematics, any number of cases supporting a conjecture, no matter how large, is insufficient for establishing the conjecture's veracity, since a single counterexample would immediately bring down the conjecture. Mathematical journals sometimes publish the minor results of research teams having extended the search for a counterexample farther than previously done. For instance, the Collatz conjecture, which concerns whether or not certain sequences of integers terminate, has been tested for all integers up to 1.2 × 1012 (over a trillion). However, the failure to find a counterexample after extensive search does not constitute a proof that no counterexample exists nor that the conjecture is true, because the conjecture might be false but with a very large minimal counterexample.
Instead, a conjecture is considered proven only when it has been shown that it is logically impossible for it to be false.
Catherine !TGirlYJKXM (OP) replied with this 9 years ago, 8 minutes later, 15 hours after the original post[^] [v] #736,818
@previous (brie !kGoudaMCFA)
So there could still be numbers above 1.2 x 1012 that do not lead to 1?
If this is the case, how come no computer managed to test this yet?
So there could still be numbers above 1.2 x 1012 that do not lead to 1?
If this is the case, how come no computer managed to test this yet?