We don't know whether it's possible to find a general rule predicting exactly how many distinct prime factors a randomly chosen large number will have.
open
Global / Unspecified, Global
While average behavior is well understood statistically, predicting the exact factor count for any specific number without direct calculation remains fundamentally elusive. This unresolved question touches the probabilistic side of number theory.
Citation ID: WS01305
Title: We don't know whether it's possible to find a general rule predicting exactly how many distinct prime factors a randomly chosen large number will have.
URL: https://worldsolve.org/index.php?api=problem&id=1305