Sabtu, 16 Juli 2011

Puzzle "3n+1" Maybe Solved


Puzzle "3n+1" maybe solved
Mathematical puzzle that has not found the answer for 74 years may soon be solved. Is a mathematician from the University of Hamburg, Gerhard Opfer, who claims to have found a solution.
Mathematical puzzle called the Collatz Conjecture or "3n +1" was proposed by Lothar Collatz in 1937. Puzzles that involve integer operations are denoted "n". In short, there are two conditions that apply in the Collatz Conjecture. If the integers (n) is an even number, then divided by two (n / 2) and if odd then multiplied by 3 then add 1 (3n +1).
Well, the Collatz Conjecture is expressed, if the operation continues to be done repeatedly, regardless of the numbers chosen to start it will always get the number 1 as a result. Verification has been done to the values ​​of 5.76 x 10 (18). However, without proper mathematical proof, there is always the possibility that huge numbers will deviate from this "law". This mathematical proof that has been owned by Opfer. He wrote in a paper which has now entered into the journal Mathematics of Computation for review because it could have no proper proof.
Now, does this math puzzle will be completely resolved? We'll wait. While waiting, maybe you could try to operate the numbers based Collatz Conjecture.
Try to take the number 6. Since 6 is even, then divided by 2, the result 3. Well, 3 is odd, then multiplied by 3 and plus 1, the result is 10. Then, 10 divided by 2 because an even number, the result 5. Then, 5 multiplied by 3 and plus 1, the result is 16. Number 16 divided by 2, the result 8. Then 8 divided by 2 results 4 and 4 divided by 2 again results 2. Figures 2 is an even number, then divided by 2 again and the result is 1. Well, if sorted, then deretannya is 6, 3, 10, 5, 16, 8, 4, 2, 1. For number 6, meaning attested. You can try to take another number. Want more challenging, take a big number.

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