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.

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.

The word 'romance,' according to the dictionary, means excitement, adventure, and something extremely real. Romance should last a lifetime.

The excitement level for me working on projects is really not a bit different from when I was 26.

Comics as art. I do comics as comics, and my opportunity to tell stories. Simple. Basic. Let the characters have the excitement, not the package. That's where I come from.

As soon as I started writing Julia, by which I mean while writing its first sentence, I felt a sudden, reassuring charge of excitement. I knew it was going to work.

So this is the only TV show in America where I am quite confident that you, the audience, will share my excitement when I tell you that coming up in our next segment, we have the best graph ever. Best graph ever.

It is always with excitement that I wake up in the morning wondering what my intuition will toss up to me, like gifts from the sea. I work with it and rely on it. It's my partner.

It's just a whole different thing, and it's just that my life has been a blessing, and I thank god every day for the gifts that he has given me and for my daughter and to be able to watch her grow and be a part of her joys and her excitement and what she wants to do in life.

At the moment you are no longer an observing, reflecting being; you have ceased to be aware of yourself; you exist only in that quiet, steady thrill that is so unlike any excitement that you have ever known.

When you coach as long as I did, you can't help but miss those Saturdays - dealing with the players, the game preparation, the challenges, the excitement.

The excitement of vitamins, nutrition and metabolism permeated the environment.

As Ralph's character begins to discover the political thriller aspect of the film, he falls deeper in love with his wife, so the two run together. That's the beauty of this film. It has fast pace and excitement, but it also has heart and soul.

Excitement was plentiful during my two years' service as a Pony Express rider.

I wanted to capture the excitement of house music, almost like a four-four beat, and the best way to do that was to use a language that was rhythmic and performative.

The president felt that it was important to send an ordinary citizen to experience the excitement of space travel as a representative for all Americans.

The most intense curiosity and excitement prevailed, and though the weather was uncertain, enormous masses of densely packed people lined the road, shouting and waving hats and handkerchiefs as we flew by them.

Without any intended hubris, I've lead a pretty exciting life. What I've tried to do in Mission Compromised is draw on those experiences to create a sense of excitement and realism within the story.