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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 19:50:18 IST
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Let f(x) be a function defined on the positive integers such that: f(x) = x/2 if x is even f(x) = (3x+1)/2 if x is odd Then the conjecture is: iterates of f(x) will eventually reach 1 for any initial value of x.
Prove or disprove this conjecture!

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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 19:56:24 IST
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No one trying??
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 19:56:59 IST
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isnt this some famous conjecture??? I forget the name though. Hey this is an unproved conjecture
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:00:10 IST
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Yeah! Its name is "the Collatz Conjecture"
Current cash prize is EUR 5,000
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:01:31 IST
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yeah whatever. Thought no one would recognise it eh? :D :D Neway the original one states that f(x) = 3x+1 x = odd though it would make no difference to divide by 2 bcos of parity change :)
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:02:23 IST
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somebody solve it rates assured in return for d rs 5000
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:02:55 IST
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it would be 5000$ :D :D not Rs 5000
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:04:18 IST
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I know...most of the guys would be knowing this conjuncture!
I've been trying to prove this for 3 years!!.......lol
I thought goiitians are smart enuf to tackle this! Lets see who solves it!!
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:05:28 IST
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Okay solve this........certificates mere aur 5000 euro jo bhi solve kare uske........
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:06:22 IST
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hey thats no go man :D Goiitians solve a problem which many great mathematicians cannot?
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:09:49 IST
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Okk.......prize money is now EURO 10,000(EUR 5000 from my side) ............Plus admission to MIT 
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:12:22 IST
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Hey thats not possible, dont have toooo much high hopes :D :D If this is not possible by many great mathematicians all over the world, then hw can kids solve it? (unless in an exceptional case)
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:15:52 IST
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I'm in the search of that exceptional case!!
A lot of students from CalTech's Mathematics department are working hard to solve it.They are missing a lot of gr8 parties bcoz of this,so i wanna help them by providing them solution!
SOCIAL SERVICE 
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:16:06 IST
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that's y he's offering admission to MIT :) lol
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 20:17:58 IST
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Wo to ho hi jayega 
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