do you feel like you are missing out on a learning opportunity when you aren't doing hours of research? sometimes I come up with other good ideas or learn of new things amidst researching a problem
Lol, this is exactly the point. You're more willing to ask what you really want to ask which draws you into a conversation and ultimately makes the person you're asking more memorable to you.
Also, so far, looks like the anti-hallucination stuff is working well but let me know if you run into something unexpected.
given this knowledge, does this have implications that RSA would twice as crackable? Given casting a wide net, you could assume one of the prime factors is 37 and just try it against the pub key