A050767 Let f(m) = smallest composite number which takes m steps of "add prime factors to number" to reach a prime and g(m) be the prime that is reached. Sequence gives values of g(m), sorted and duplicates removed.

11, 23, 83, 149, 167, 251, 269, 881, 2039, 5021, 9311, 35111, 82219, 89809, 181421, 289099, 420899, 885839, 996157, 1963799, 2554439, 2843903, 3269039, 3632701, 4648519, 6448103, 9748579, 35200439, 71927183, 82216501, 283709077