Search: id:A064079
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%I A064079
%S A064079 2,1,13,5,121,7,1093,41,757,61,88573,73,797161,547,4561,3281,64570081,
%T A064079 703,581130733,1181,368089,44287,47071589413,6481,3501192601,398581,
%U A064079 387440173,478297,34315188682441,8401,308836698141973,21523361
%N A064079 Zsigmondy numbers for a = 3, b = 1: Zs(n, 3, 1) is the greatest divisor 
               of 3^n - 1^n (A024023) that is relatively prime to 3^m - 1^m for 
               all positive integers m < n.
%C A064079 By Zsigmondy's theorem, the n-th Zsigmondy number for bases a and b is 
               not 1 except in the three cases (1) a = 2, b = 1, n = 1, (2) a = 
               2, b = 1, n = 6, (3) n = 2 and a+b is a power of 2.
%D A064079 K. Zsigmondy, Zur Theorie der Potenzreste, Monatshefte fuer Mathematik 
               und Physik 3 (1882), 265 - 284
%H A064079 K. Zsigmondy, <a href="http://dieper.aib.uni-linz.ac.at/cgi-bin/project2/
               showstruct.pl?PE_ID=2&VO_ID=3&NUM=22">Zur Theorie der Potenzreste</
               a>, Monatsh. f. Math. III. 265-284. Published 1892.
%Y A064079 Cf. A024023, A064078, A064080, A064081, A064082, A064083.
%Y A064079 Sequence in context: A037271 A074955 A143663 this_sequence A167584 A112226 
               A074808
%Y A064079 Adjacent sequences: A064076 A064077 A064078 this_sequence A064080 A064081 
               A064082
%K A064079 nonn
%O A064079 1,1
%A A064079 Jens Voss (jens.voss(AT)poet.de), Sep 04 2001
%E A064079 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2001
%E A064079 Definition corrected by Jerry Metzger, Nov 04 2009

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