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 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.

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.

Achievement is not always success, while reputed failure often is. It is honest endeavor, persistent effort to do the best possible under any and all circumstances.

Dissatisfaction with possession and achievement is one of the requisites to further achievement.

There is no personal achievement in being born beautiful.

Trust yourself. Create the kind of self that you will be happy to live with all your life. Make the most of yourself by fanning the tiny, inner sparks of possibility into flames of achievement.

My proudest achievement has been the success of the shows and artists I have been involved with, because they were made in Britain.

The salary of the chief executive of a large corporation is not a market award for achievement. It is frequently in the nature of a warm personal gesture by the individual to himself.

Immortality is not a gift, Immortality is an achievement; And only those who strive mightily Shall possess it.

My real achievement is my daughter and my three beautiful grandchildren.

Desire is the starting point of all achievement, not a hope, not a wish, but a keen pulsating desire which transcends everything.

Liberalism regards life as an adventure in which we must take risks in new situation, in which there is no guarantee that the new will always be the good or the true, in which progress is a precarious achievement rather than inevitability.

Coming to understand a painting or a symphony in an unfamiliar style, to recognize the work of an artist or school, to see or hear in new ways, is as cognitive an achievement as learning to read or write or add.

The final wisdom of life requires not the annulment of incongruity but the achievement of serenity within and above it.

For unflagging interest and enjoyment, a household of children, if things go reasonably well, certainly all other forms of success and achievement lose their importance by comparison.

The mind must see visual achievement of the purpose before action is initiated.

Creativity is a great motivator because it makes people interested in what they are doing. Creativity gives hope that there can be a worthwhile idea. Creativity gives the possibility of some sort of achievement to everyone. Creativity makes life more fun and more interesting.