Just because we can't find a solution it doesn't mean that there isn't one.

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.

That particular odyssey is now over. My mind is now at rest.

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.

However impenetrable it seems, if you don't try it, then you can never do it.

Fermat said he had a proof.

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.

Always try the problem that matters most to you.

Well, 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.

Pure mathematicians just love to try unsolved problems - they love a challenge.

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

Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century.

I'm sure that some of them will be very hard and I'll have a sense of achievement again, but nothing will mean the same to me - there's no other problem in mathematics that could hold me the way that this one did.

I grew up in Cambridge in England, and my love of mathematics dates from those early childhood days.

I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream.

I realized that anything to do with Fermat's Last Theorem generates too much interest.

The only way I could relax was when I was with my children.

The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.

I don't believe Fermat had a proof. I think he fooled himself into thinking he had a proof.

But the best problem I ever found, I found in my local public library.

Just because we can't find a solution it doesn't mean that there isn't one.

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.

There's also a sense of freedom. I was so obsessed by this problem that I was thinking about if all the time - when I woke up in the morning, when I went to sleep at night, and that went on for eight years.

I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal.

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.

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.

I loved doing problems in school.

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.

I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future.

There are proofs that date back to the Greeks that are still valid today.

It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.

I loved doing problems in school. I'd take them home and make up new ones of my own. But the best problem I ever found, I found in my local public library. I was just browsing through the section of math books and I found this one book, which was all about one particular problem - Fermat's Last Theorem.

Pure mathematician just love to try unsolved problems they love a challenge.

What I think we need to do to engage the American people in a conversation about entitlement reform is to have a bipartisan group of people who come together and put every solution on the table, every alternative on the table. And then we ought to engage in a long conversation with the American people so they understand the choices.

X-Ray crystallography is nowadays an accurate and rapid method of determining conformation in the crystal lattice, which conformation usually corresponds to the preferred conformation in solution.

The nice thing about doing a crossword puzzle is, you know there is a solution.

We have a close, unshakable bond between the United States and Israel, and between the American and Israeli people. We share common values and a commitment to a democratic future for the world, and we are both committed to a two-state solution. But that doesn't mean that we're going to agree.

Many hard comments have been made on my efforts in India from the side of the Congress party, yet I feel content in the deep conviction that the offer I traveled 22,000 miles to discuss with Indian leaders was a real contribution to a solution of our differences.

Our state is in crisis. Our people are hurting. Now is the time when we all must resist the traditional, selfish call to protect your own turf at the cost of our state. It is time to leave the corner, join the sacrifice, come to the center of the room and be part of the solution.

To deal with the true causes of war one must begin by recognizing as of prime relevancy to the solution of the problem the familiar fact that civilization is a partial, incomplete, and, to a great extent, superficial modification of barbarism.

We continue to be exasperated by the view, apparently gaining momentum in certain circles, that armed robbery is okay as long as nobody gets hurt! The proper solution to armed robbery is a dead robber, on the scene.

We expect President Bush to implement his own vision of a two-state solution, the birth of the Palestinian State and the ending of the occupation that started in 1967.

At least half the mystery novels published violate the law that the solution, once revealed, must seem to be inevitable.

How do you dare to ask me for a solution? It's like asking Seneca for a solution. You remember what he did? He committed suicide!

The only difference between a problem and a solution is that people understand the solution.

The basic problems facing the world today are not susceptible to a military solution.

Many people see technology as the problem behind the so-called digital divide. Others see it as the solution. Technology is neither. It must operate in conjunction with business, economic, political and social system.

In the final analysis there is no other solution to man's progress but the day's honest work, the day's honest decision, the day's generous utterances, and the day's good deed.

Scientists often have a naive faith that if only they could discover enough facts about a problem, these facts would somehow arrange themselves in a compelling and true solution.