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Posted: Tue Aug 17, 2004 8:46 pm
by kroner
Thomas Pickert wrote:Welcome back, Richard. :)

While you were away, I advertised Serenity to fill a bit of the hole you left.
It's German, and it's a math forum. But that's all you can expect from an amateur. I'm glad I can leave that to the pro again. ;)

Thomas, you have to put more math problems up!
I was so happy when there was math on the forum...

Posted: Tue Aug 17, 2004 8:52 pm
by Thomas Pickert
Start with a random natural number greater than 0.

If it's even, divide by 2. If it's odd, multiply with 3 and add 1.

Do you always end with 4, 2, 1, 4, 2, 1, ...?

Posted: Wed Aug 18, 2004 6:18 am
by Appleide
no.

Posted: Wed Aug 18, 2004 11:26 am
by Cherize
3 x 3 = 9 + 1 = 10

Posted: Wed Aug 18, 2004 11:30 am
by Cherize
Thomas Pickert wrote:Start with a random natural number greater than 0.

If it's even, divide by 2. If it's odd, multiply with 3 and add 1.

Do you always end with 4, 2, 1, 4, 2, 1, ...?


But it will always be even.

Posted: Wed Aug 18, 2004 12:01 pm
by Thomas Pickert
I forgot to add, that you reiterate the procedure endlessly, of course. ;)

@Cherize: I don't understand. 6 : 2 = 3 is odd, for example.

Posted: Wed Aug 18, 2004 12:32 pm
by kroner
the short answer is yes (i think). but i still have to come up with a proof... hmmm.

Posted: Wed Aug 18, 2004 1:04 pm
by Thomas Pickert
I have split this off Richard's "I'm back" post now. I have also added the name of the problem described, to make it easier to understand for those who really try to find a proof, what kind of problem they're trying to tackle. ;)

Posted: Wed Aug 18, 2004 9:32 pm
by The Industriallist
Translation: one that hasn't been proven yet by anyone, correct?

Posted: Wed Aug 18, 2004 9:45 pm
by Thomas Pickert
Yes.