With regards to the first problem, it is pretty easy if you can have
all the primes precomputed. As a matter of fact, if you search the net,
you'll find the list of all prime no.s that can be stored as a 4 byte
unsigned integer !!. Just use that list of primes to find out the
nearest with the help of binary search.

Else, you may also try the "sieve of eratosthenes" to compute prime
numbers at run time, but I guess in the long run, the above method is
better due to rduced computation.


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