Rather than putting the rest of us at risk by putting zero value on the security of anything you make and guessing someone [a spook] will do it for you, why dont you recommend everyone takes some time out to at least learn the basics.

Yes, there are several "mines" you need to be wary of.

But they all pale into insignificance compared to linking openssl and thinking you are done.

padding -> irrelevent to an RSA public key, everyone has to know the exact modulus and product, even the bad guys (although I recommend keeping public keys relatively secret)

timing -> irrelevent to an RSA public key, there is nothing you can get from how long it takes to decrypt or encrypt even 1024 bits of data (which is more than most impliementations even send), sometimes the exact same data will take 1ms, sometimes 100ms, it depends what else the machine is doing at the time.