Felix,
the real security hole is your key length.
For a key length greater 1024 p and q should never be identical. The
chance of p being not a prime is probably greater.
In case p=q the Euler function will be p(p-1), whereas OpenSSL uses
(p-1)(q-1) , i.e. (p-1)^2. In this case RSA, i.e. c:=m^e, m:=c^d, will
not work.
/Ann.
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