It has often bothered me that  there is a big difference in
performance between
next_prime(...)  and
(...).next_prime()

I.e. try (...)=2^4096.

Looking at the source code I see that the first gives (by default) a
provable
result, whereas the second gives a probabilistic result.

I think these methods/functions should have identical behaviour.
What do other people think?

Michel


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