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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.

Infinity Because

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.

Tackle You I

Fermat said he had a proof.

Said Had Fermat

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.

Thinking Night Years

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

Rather Problem Good

Always try the problem that matters most to you.

Matters Problem

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

Right Track Believed Really

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

Mathematicians Just

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

Public I Library

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

You Try

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

Had Fermat Himself

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

Valid Today Greeks