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Guest Message by DevFuse

Number Pattern Game

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Posted 17 July 2013 - 08:23 PM

Pick any positive integer.

If you pick an odd positive integer then your next picked number is 3n+1

If you pick an even number then your next picked number is n/2

Repeat with your picked numbers until you notice something interesting.

1. What interesting event happens?

2. Why is it happening?

3. Can you prove your hypothesis in number 2?

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#2 TimeSpaceLightForce

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Posted 18 July 2013 - 06:25 AM

Spoiler for

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#3 Barcallica

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Posted 18 July 2013 - 10:59 AM

Spoiler for You mean?

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Posted 18 July 2013 - 12:03 PM

Spoiler for You mean?

yes. now we need to answer the last two questions

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Posted 18 July 2013 - 12:04 PM

Spoiler for

If you keep repeating (more than a single recurssion) you should come to the same conclusion as Barcallica.

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#6 Rainman

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Posted 18 July 2013 - 07:30 PM

This is a "famous" unsolved problem. The conjecture that every positive integer eventually leads back to 1 is called the Collatz conjecture. We won't be able to prove or disprove it here, sorry
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#7 bonanova

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Posted 18 July 2013 - 07:32 PM

Spoiler for Collatz conjecture

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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Posted 18 July 2013 - 08:21 PM

This is a "famous" unsolved problem. The conjecture that every positive integer eventually leads back to 1 is called the Collatz conjecture. We won't be able to prove or disprove it here, sorry

I was hoping the fabulous minds at Brainden could pull together.  Oh well.

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