A050767 - OEIS

A050767

Let f(m) = smallest composite number that 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.

%I #8 Jan 03 2016 15:50:09

%S 11,23,83,149,167,251,269,881,2039,5021,9311,35111,82219,89809,181421,

%T 289099,420899,885839,996157,1963799,2554439,2843903,3269039,3632701,

%U 4648519,6448103,9748579,35200439,71927183,82216501,283709077

%N Let f(m) = smallest composite number that 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.

%H C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_066.htm">See also related puzzle</a>

%e 23 is included as it is both g(2) (with f(2)=8) and g(3) (with f(3)=4): '8' + (2+2+2) => 14 + (2+7) => 23; '4' + (2+2) => 8 + (2+2+2) => 14 + (2+7) => 23.

%Y Cf. A050703, A050710 (for f(n)).

%K nonn,nice

%O 0,1

%A _Patrick De Geest_, Sep 15 1999