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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.


Andrew Wiles


#excitement #future #going #hope #i

I loved doing problems in school.


Andrew Wiles


#i #loved #problems #school

I realized that anything to do with Fermat's Last Theorem generates too much interest.


Andrew Wiles


#fermat #generates #i #interest #last

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.


Andrew Wiles


#broad #clarify #conceptual #fit #i

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.


Andrew Wiles


#complete #could #day #hundred #i

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.


Andrew Wiles


#any #day #end #end of the day #even

Just because we can't find a solution it doesn't mean that there isn't one.


Andrew Wiles


#find #just #just because #mean #solution

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.


Andrew Wiles


#complete #could #even #hundred #i

That particular odyssey is now over. My mind is now at rest.


Andrew Wiles


#now #odyssey #over #particular #rest

The greatest problem for mathematicians now is probably the Riemann Hypothesis.


Andrew Wiles


#greatest problem #hypothesis #mathematicians #now #probably






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