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The greatest problem for mathematicians now is probably the Riemann Hypothesis.

Andrew Wiles

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Andrew Wiles
Age: 71
Born: 1953
Born: April 11
Mathematician
University Teacher
Sir Andrew John Wiles
Andrew John Wiles
Andrew J. Wiles
Dr. Andrew Wiles
Prof. Sir Andrew Wiles FRS
Mathematicians
Hypothesis
Mathematician
Greatest
Probably
Problem
Riemann

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I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal
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There are proofs that date back to the Greeks that are still valid today.
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I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine.
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Always try the problem that matters most to you.
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Then when I reached college, I realized that many people had thought about the problem during the 18th and 19th centuries and so I studied those methods.
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The only way I could relax was when I was with my children.
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It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day.
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The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
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Some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve. There's no reason why these problems shouldn't be easy, and yet they turn out to be extremely intricate. Fermat's Last Theorem is the most beautiful example of this.
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I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream.
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I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.
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I loved doing problems in school.
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I carried this problem around in my head basically the whole time. I would wake up with it first thing in the morning, I would be thinking about it all day, and I would be thinking about it when I went to sleep. Without distraction I would have the same thing going round and round in my mind.
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I never use a computer.
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Mathematics... is a bit like discovering oil. ... But mathematics has one great advantage over oil, in that no one has yet ... found a way that you can keep using the same oil forever.
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Pure mathematicians just love to try unsolved problems - they love a challenge.
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That particular odyssey is now over. My mind is now at rest.
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Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.
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I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years.
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Fermat said he had a proof.
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