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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
Work, Long, Interesting
"Andrew Wiles on Solving Fermat". NOVA Interview, www.pbs.org. November 1, 2000.
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.