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A073259 Length of FixedPointList leading to value of n-th composite number. 5

%I #4 Oct 15 2013 22:31:26

%S 4,4,4,3,3,4,4,3,3,4,4,4,3,4,4,3,3,3,4,4,4,3,3,3,4,4,3,4,5,4,3,4,4,4,

%T 3,3,4,4,4,3,3,4,5,4,4,3,3,4,4,4,4,5,4,4,4,3,4,4,4,5,4,4,4,3,4,4,4,4,

%U 3,3,3,4,4,4,4,5,4,4,5,5,4,4,5,4,4,4,4,4,3,3,3,3,3,3,3,4,4,4,5,4,4,4,3,4,5

%N Length of FixedPointList leading to value of n-th composite number.

%F See program below.

%e n=1000000:the list={1000000,1078499,1084157,1084577,1084604,1084605}, its length including initial term is 6, while composite[1000000]=1084605.

%t Table[Length[FixedPointList[w+PrimePi[ # ]+1&, w]]-1, {w, 1, 128}]

%Y Cf. A064814, A002808, A073255-A073264.

%K nonn

%O 1,1

%A _Labos Elemer_, Jul 22 2002

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