If you want details, this should more than satisfy your curiosity.
AVI discusses a First Things article about curiosity as a temptation. The researchers who found this feature of primes are certainly deeply curious about primes, but this is their life-work, and probably their calling. I would never be more than a dilettante in that field, and more likely merely a curious onlooker.(*)
So how much time can I spend on learning about such things before it becomes a failing?
(*)The last thing I investigated turned out to have been solved more than two centuries ago. I'm a bit behind the times. (I didn't solve it.)