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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.

Andrew Wiles

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

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"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."

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

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