%I
%S 2,5,7,17,3,41,31,5,7,5,7,197,2,281,43,7,5,5,73,2,7,7,13,5,7,5,3,7,13,
%T 3,7,7,7,7,571,7,7,5,7,7,5,7,5,7,2,7,19,3,3,67,5,2,71,43,7,71,239,7,7,
%U 7699,2,5,313,8893,2,3,199,5,5,2,5,2,3,7,6361,3,97,5,19,97,7,2593,5,5
%N a(n) is the fixed point if function A008472[=sum of prime factors with no repetition] is iterated when started at initial value prime[n]!.
%F a(n)=A082087[A000142(p[n])].
%e n=100,p(100)=541,start at 541! and get iteration list=
%e {541!,24133} ended immediately in a(100)=24133;
%e n=99,p(99)523,start at 523! and get a list of
%e {523!,23592,988,34,19}, a(99)=19.
%t ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ba[x_] := Table[Part[ffi[x], 2*w1], {w, 1, lf[x]}] sopf[x_] := Apply[Plus, ba[x]] Table[FixedPoint[sopf, Prime[w]! ], {w, 2, 100}]
%Y Cf. A008472, A034387, A007504, A075860, A082087.
%K nonn
%O 1,1
%A _Labos Elemer_, Apr 09 2003
