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 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.

At the end, the realization is that she had to get to a place in her life where she could drop her guard and make peace with the fact that whether she had a small amount of time, that she had to kind of live it completely through, instead of living by the rules.

It is living and ceasing to live that are imaginary solutions. Existence is elsewhere.

You are not here merely to make a living. You are here in order to enable the world to live more amply, with greater vision, with a finer spirit of hope and achievement. You are here to enrich the world, and you impoverish yourself if you forget the errand.

I love living on that stage. Without that, I'd die.

There is always a type of man who says he loves his fellow men, and expects to make a living at it.

Don't make music for some vast, unseen audience or market or ratings share or even for something as tangible as money. Though it's crucial to make a living, that shouldn't be your inspiration. Do it for yourself.

Death comes not to the living soul, nor age to the loving heart.

The association promotes a way of life, not causes; a harmony in living, not political faiths; a bilateral loyalty, not commercial or social projects. Yet it is an association for as noble a purpose as any involved in any prior decisions.

Every true prayer is a prayer of the Church; by means of that prayer the Church prays, since it is the Holy Spirit living in the Church, Who in every single soul 'prays in us with unspeakable groanings'.

It seems difficult, sometimes, to believe that there was a time when sentiments now become habitual, sentiments that imply not only the original imperative of conduct, but the original metaphysic of living, were by no means altogether habitual.

Nature is a temple in which living columns sometimes emit confused words. Man approaches it through forests of symbols, which observe him with familiar glances.

Being a father, well, I don't know if this is a change, but it makes me want to get out of here faster. Get off the clock. Just 'cause the baby is my reason for living, my reason for coming to work.

Living at risk is jumping off the cliff and building your wings on the way down.

A little simplification would be the first step toward rational living, I think.

I have come to terms with a lot of things, because, when all's said and done, there's really very little one can do about a lot of things. You just accept them. The point is you just have to keep on working and you just have to keep on living.

Each day, and the living of it, has to be a conscious creation in which discipline and order are relieved with some play and pure foolishness.