The largest known prime number is 2^32582657-1. I am proud to say that I memorized all its digits-in binary.
Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems.
With randomness it is very unlikely to be embarrassed, but even if you get embarrassed, you can't replicate it.
Log Log Log (x) goes off to infinity with x, but has never been observed to do so.
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