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Rational Numbers That Are Hard To Prove?

  1. Jun 21, 2013 #1

    Office_Shredder

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    There are lots of examples of numbers where "is it a rational number" has been an open question for a while before being proved as not being rational. Pi and e being famous examples. Some of them are still open, like pi+e, or the Euler-Mascharoni constant, but I think the general consensus is that constants like these almost surely are going to be irrational. So I was wondering are there any examples of numbers whose rationality was unknown for an extended period of time (Beyond the first time the question was raised would be interesting, but something on the order of decades would be really nice) before it was discovered that the number is rational?
     
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