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%I A122411
%S A122411 0,2,3,4,5,7,7,8,9,13,11,14,13,19,22,16,17,21,19,26,32,31,23,28,25,37,
%T A122411 27,38,29,38,31,32,52,49,58,42,37,55,62,52,41,56,43,62,66,67,47,56,49,
%U A122411 65,82,74,53,63,94,76,92,85,59,76,61,91,96,64,112,92,67,98,112,106,71
%N A122411 a(n) = sum of primes p's for those k's, 2 <= k <= n, where GCD(k,n) = 
               p^j >1. (a(1) = 0.).
%H A122411 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A122411 The integers k, 2 <= k <= 12, where GCD(k,12) = a power of a prime are 
               2,3,4,8,9 and 10. GCD(2,12) = 2^1, GCD(3,12) = 3^1, GCD(4,12) = 2^2, 
               GCD(8, 12) = 2^2, GCD(9,12) = 3^1 and GCD(10,12) = 2^1. The sum of 
               the prime bases of the prime-powers is 2+3+2+2+3+2 = 14. So a(12) 
               = 14.
%t A122411 f[n_] := Plus @@ First /@ Flatten[Select[FactorInteger[GCD[Range[n], 
               n]], Length[ # ] == 1 &], 1]; Table[f[n], {n, 80}] (*Chandler*)
%Y A122411 Cf. A122410.
%Y A122411 Sequence in context: A034152 A114707 A000015 this_sequence A117174 A022473 
               A082352
%Y A122411 Adjacent sequences: A122408 A122409 A122410 this_sequence A122412 A122413 
               A122414
%K A122411 nonn
%O A122411 1,2
%A A122411 Leroy Quet Sep 02 2006
%E A122411 Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), 
               Sep 06 2006

    
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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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