On 2018-07-13 04:02, Chris Angelico wrote:
Haha. Okay. I'm not familiar with every possible primality test, so I
had no idea that they ALL have the same failure mode :)

There exist guaranteed primality tests, but those are much slower and more complicated. The state of the art is ECPP:

https://en.wikipedia.org/wiki/Elliptic_curve_primality
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