%I A064083
%S A064083 6,1,19,25,2801,43,137257,1201,39331,2101,329554457,2353,16148168401,
%T A064083 102943,4956001,2882401,38771752331201,117307,1899815864228857,1129901,
%U A064083 11898664849,247165843,4561457890013486057,5762401,79797014141614001
%N A064083 Zsigmondy numbers for a = 7, b = 1: Zs(n, 7, 1) is the greatest divisor 
               of 7^n - 1^n (A024075) that is relatively prime to 7^m - 1^m for 
               all positive integers m < n.
%C A064083 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 A064083 K. Zsigmondy, Zur Theorie der Potenzreste, Monatshefte fuer Mathematik 
               und Physik 3 (1882), 265 - 284
%H A064083 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 A064083 Cf. A024075, A064078, A064079, A064080, A064081, A064082.
%Y A064083 Sequence in context: A157386 A157396 A019430 this_sequence A152249 A167580 
               A080213
%Y A064083 Adjacent sequences: A064080 A064081 A064082 this_sequence A064084 A064085 
               A064086
%K A064083 nonn
%O A064083 1,1
%A A064083 Jens Voss (jens.voss(AT)poet.de), Sep 04 2001
%E A064083 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2001
%E A064083 Definition corrected by Jerry Metzger, Nov 04 2009