I believe real constant $C$ is irrational iff its continued fraction
is infinite.
There are many famous constants which irrationality is unknown.
For a lot of constants sage gives exception:
```
sage: cf=list(continued_fraction(catalan))
ValueError: the length is infinite!
```

Should the error use weaker wording?

Another test is coercing to QQ and there the wording is better:
```
sage: QQ(catalan)
TypeError: unable to convert catalan to a rational

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