WHAT is one unsolved problem in mathematics? Will it ever be solved in your opinion? Why or why notit was simple to look this up in the internet, but I would rather have the opinion of an expert in...

WHAT is one unsolved problem in mathematics? Will it ever be solved in your opinion? Why or why not

it was simple to look this up in the internet, but I would rather have the opinion of an expert in a "recent" format   thank you

1 Answer | Add Yours

embizze's profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

I think that Goldbach's conjecture is a good example, especially because it is so simple to state. The conjecture is that every even number greater than four can be written as the sum of two primes.

This is so simple that a 5th grader can understand the problem, but it has resisted proof for centuries.

Computers have verified that it is true up to a very large number (something like `10^18` ). Various results have been tried -- there is a proof that every even number greater than four is the sum of at most six primes.

I do not believe that this conjecture will be solved. It might be that a proof will result from an unexpected direction (Andrew Wiles' proof of Fermat's theorem is a good example) but I don't believe that current directions will work.

Sources:

We’ve answered 318,979 questions. We can answer yours, too.

Ask a question