Hi!

Is the sentence "It checks that p and q are in fact prime, and that n =
p*q" in RSA_check_key's documentation mean that it checks for weak primes,
like the ones mentioned here?:
http://arstechnica.com/business/news/2012/02/crypto-shocker-four-of-every-1000-public-keys-provide-no-security.ars

As I understand there are two cases.
One is when the prime is not exactly prime. I would expect RSA_check_key to
find this out, but what is the extent of the check?
The other cause is a clash with already existing prime factors out there. I
guess that checking for this would involve looking up a list of prime
factors collected on the net. Is there such tool accessible to mere mortals?

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