But if we could more easily find primes, the search space for finding those prime factors would be significantly smaller. In my mind, it’s not a question of ea

But if we could more easily find primes, the search space for finding those prime factors would be significantly smaller. In my mind, it’s not a question of easy vs hard… it’s a question of fast vs slow. The default algorithm for finding primes is pretty simple, but it takes a lot of math and time. If you reduce the time requirements, then we start to get into trouble.