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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
Riemann
Mathematicians
Hypothesis
Mathematician
Greatest
Probably
Problem

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Just because we can't find a solution it doesn't mean that there isn't one.
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Pure mathematicians just love to try unsolved problems - they love a challenge.
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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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However impenetrable it seems, if you don't try it, then you can never do it.
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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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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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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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Always try the problem that matters most to you.
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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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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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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 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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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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We've lost something that's been with us for so long, and something that drew a lot of us into mathematics. But perhaps that's always the way with math problems, and we just have to find new ones to capture our attention.
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The only way I could relax was when I was with my children.
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Fermat said he had a proof.
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There are proofs that date back to the Greeks that are still valid today.
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That particular odyssey is now over. My mind is now at rest.
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