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.
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.
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.
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.
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