Search: id:A120629
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%I A120629
%S A120629 2,4,5,6,9,10,13,14,16,17,18,20,21,22,24,25,26,29,30,33,34,36,37,38,40,
%T A120629 41,42,45,46,49,50,52,53,54,56,57,58,61,62,65,66,68,69,70,72,73,74,77,
%U A120629 78,80,81,82,84,85,86,88,89,90,93,94,96,97,98,100,101,102,104,105,106
%N A120629 Numbers n with property that -n is not a perfect power and the squarefree 
               part of -n is not congruent to 1 modulo 4.
%C A120629 According to a famous 1927 conjecture of Emil Artin, modified by Dick 
               Lehmer, these negative numbers are primitive roots modulo each prime 
               of a set whose density among primes equals Artin's constant (see 
               A005596). The positive numbers with the same property are given by 
               A085397.
%H A120629 T. D. Noe, <a href="b120629.txt">Table of n, a(n) for n=1..1000</a>
%H A120629 G. P. Michon, <a href="http://www.numericana.com/answer/constants.htm#artin">
               Artin's Constant</a>.
%e A120629 -3 and -12 are not in the set because their squarefree parts are equal 
               to -3, which is congruent to 1 modulo 4. -32 is not in the set because 
               it is the fifth power of -2. -1 is excluded because it is an odd 
               power of -1.
%Y A120629 Cf. A085397, A005596.
%Y A120629 Sequence in context: A143072 A089648 A062861 this_sequence A015834 A050011 
               A030303
%Y A120629 Adjacent sequences: A120626 A120627 A120628 this_sequence A120630 A120631 
               A120632
%K A120629 easy,nice,nonn
%O A120629 1,1
%A A120629 Gerard P. Michon (g.michon(AT)att.net), Jun 20 2006

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