# Can you help me?

I recently came to discover this thing (it may exist already though.)

1. Take a positive integer.

2.a Half n if even,

2.b 3n+1 if odd,

(as said, it may already exist )

Note by I Love Brilliant
10 months, 3 weeks ago

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$0 \\ \hspace{1px} \\ \dfrac{0}{2} = 0 \\ \hspace{1px} \\ goes \ on \ forever \\ \hspace{1px} \\ \vdots$

- 10 months, 3 weeks ago

- 10 months, 3 weeks ago

oh yeah!

- 10 months, 3 weeks ago

This is known as the collatz conjecture, and it has not yet been proven. However, different operations other than 3n+1 have already been proven to not work. E.g. 5n+1 results in an infinite loop: 13, 66, 33, 166, 83, 416, 208, 104, 52, 26, 13. @I Love Brilliant

- 8 months, 1 week ago

This is the Collatz conjecture, @I Love Brilliant

- 10 months, 3 weeks ago

oh, I did not know I was dealing with a conjecture. thanks!

- 10 months, 3 weeks ago

No problem!

- 10 months, 3 weeks ago

I just looked it up on google.

- 10 months, 3 weeks ago

I HONESTLY had NO IDEA I was dealing with a conjecture

- 10 months, 3 weeks ago

Here is an example:

$1$

$3(1) + 1 = 4$

$\frac{4}{2}$$= 2$

$\frac{2}{2}$$= 1$

- 10 months, 3 weeks ago