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For you, as an individual mathematician, your own open problems are the questions you raise that you cannot answer. Anyone who does mathematics for very long soon discovers that open problems are abundant, and even more of them are generated as mathematicians think about something and ask themselves questions in an effort to understand it.
One of a mathematician's hardest choices is deciding which open problems to give focused attention to and try to solve.
When you raise a question for yoursef, and you cannot answer it, it becomes an open problem for you. It is a good idea to share this problem with other mathematicians -- friends, classmates, teachers, etc. -- to see if they know of a solution or have ideas about solving it. Share your open problems with MegaMath!
Don't abandon your open problems just because they remain unsolved for a long time. Set them aside and think about them gently. A solution might surprise you and arrive when you least expect it. You might even dream it!
Sometimes an open problem becomes famous because, as it is shared with larger and larger communities of mathematicians, more and more people get curious and work on it, but still the solution is elusive. This was the case with the Four Color Problem. Finding a simple proof of the Four Color Theorem remains an open problem to this day.
Another open problem
today in the world-wide mathematics community is
Three for the Money .
