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Is there a big dataset containing RSA public $(n,e)$ and private keys $d$ and primes $p,q$ where $n = p.q$ ?

joker
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No. You can generate such a dataset for yourself by generating lots of RSA keypairs yourself. Therefore, there's no need for such a dataset (and no reason why anyone would publish one).

D.W.
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    Indeed. There are big datasets containing RSA public $(n,e)$ in actual use, and some of them come with revocation certificates; but that does not give $d$, $p$, $q$. There are a few small datasets of test RSA keys matching the question, except for size of the set. Some sites, including this one, will generate one such key for you (but it should not be trusted for anything other than a test). – fgrieu Dec 16 '12 at 14:34