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Simple Mathematics Problem No One Can Solve

Updated on August 20, 2019
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We are a group of mathematics lovers that always looking to find the mystery of Mathematics! Feel free to join us and be a part of us!

Try to solve this mathematics problem!

Let start this article by using the famous math quote from the greatest scientist - Albert Einstein - "Do not worry too much about your difficulties in mathematics, I can assure you that mine are still greater."

Mathematics can get pretty complicated. Most of the time, the math problem can be easy to understand, but difficult to prove. Therefore, we are here to share with you one current problem that anyone can understand, but nobody has been able to solve!

1. In your mind, pick any number. If the number is even, divide it by two. If it's odd, multiply it by three and add one! What number did you get?

2. Again, in your mind pick another number. If the number is even, divide it by two. If it's odd, multiply it by three and add one! What number did you get?

3. If you keep going and try with other numbers, you will eventually end up at the same number every time you try! What is the number you get? Answer = One!

4. Mathematicians have tried millions of numbers and they have never found a single number that didn't end up at One!

5. The problem is easy to understand, even a five years old kid can get the answer! The thing is, they (mathematicians) have never been able to PROVE that isn't a special number out there that never leads to One.

Is it Amazing?


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    • verdict profile image

      George Dimitriadis 

      7 months ago from Templestowe


      I found this a very interesting problem. It made me want to check it using a computer simulation. An interesting fact that has emerged is that the number of iterations for the start number to reach 1 is not dependent on its size. For example, if we start with 100,000,000, it takes 107 steps, whereas starting with 1,000,000,000 requires 100 steps.

      Explaining why the iterations converge to 1 is a challenge. If each value is even each time, then it is obvious the final result will be 1, such as 16, 8, 4, 2, 1.

      If after division by 2 the result is odd, multiplying by 3 and adding 1 produces an even number which can then be evenly divided, thus allowing convergence but requiring more iterations.

      Thanks for the problem.

      A very intersting


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