Search: id:A064082
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%I A064082
%S A064082 5,7,43,37,311,31,55987,1297,46873,1111,72559411,1261,2612138803,5713,
%T A064082 1406371,1679617,3385331888947,46441,121871948002099,1634221,
%U A064082 1822428931,51828151,157946044610720563,1678321,731325737104301
%N A064082 Zsigmondy numbers for a = 6, b = 1: Zs(n, 6, 1) is the greatest divisor 
               of 6^n - 1^n (A024062) that is relatively prime to 6^m - 1^m for 
               all positive integers m < n.
%C A064082 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 A064082 K. Zsigmondy, Zur Theorie der Potenzreste, Monatshefte fuer Mathematik 
               und Physik 3 (1882), 265 - 284
%H A064082 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 A064082 Cf. A024062, A064078, A064079, A064080, A064081, A064083.
%Y A064082 Sequence in context: A117751 A093526 A098512 this_sequence A090520 A066219 
               A075830
%Y A064082 Adjacent sequences: A064079 A064080 A064081 this_sequence A064083 A064084 
               A064085
%K A064082 nonn
%O A064082 1,1
%A A064082 Jens Voss (jens.voss(AT)poet.de), Sep 04 2001
%E A064082 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2001
%E A064082 Definition corrected by Jerry Metzger, Nov 04 2009

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