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A161643 Sum of all numbers from the smallest up to the largest prime factor of the n-th composite. 0

%I #4 Mar 30 2012 18:52:33

%S 2,5,2,3,14,5,27,12,2,5,14,25,65,5,5,90,3,27,14,2,63,152,18,5,189,88,

%T 14,27,65,12,275,5,7,14,150,90,5,56,27,187,434,14,495,25,2,81,65,152,

%U 273,27,5,702,12,189,45,90,14,3,860,27,143,945,432,65,14,70,275,493,1127,180,5,27

%N Sum of all numbers from the smallest up to the largest prime factor of the n-th composite.

%F a(n) = A000217(A052369(n))-A000217(A056608(n)-1). [_R. J. Mathar_, Jun 16 2009]

%e a(1)=2=2). a(2)=5=2+3. a(3)=2=2. a(4)=3=3. a(5)=14=2+3+4+5. a(6)=5=2+3. a(7)=27=2+3+4+5+6+7.

%Y Cf. A002808.

%K nonn,less

%O 1,1

%A _Juri-Stepan Gerasimov_, Jun 15 2009

%E Replaced 80 by 90 in two places, _R. J. Mathar_, Jun 16 2009

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