The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.

Let b(n) = min k: d^k(n) = 2, where d(n) is the number of divisors of n. Then the given values correctly identify records of b(n). But see A251483 for a slight variant with more values.