“Just because we can't find a solution it doesn't mean that there isn't one.”
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But the best problem I ever found, I found in my local public library.
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The greatest problem for mathematicians now is probably the Riemann Hypothesis.
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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.
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The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
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