%I A064081
%S A064081 4,3,31,13,781,7,19531,313,15751,521,12207031,601,305175781,13021,
%T A064081 315121,195313,190734863281,5167,4768371582031,375601,196890121,
%U A064081 8138021,2980232238769531,390001,95397958987501,203450521
%N A064081 Zsigmondy numbers for a = 5, b = 1: Zs(n, 5, 1) is the greatest divisor 
               of 5^n - 1^n (A024049) that is relatively prime to 5^m - 1^m for 
               all positive integers m < n.
%C A064081 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 A064081 K. Zsigmondy, Zur Theorie der Potenzreste, Monatshefte fuer Mathematik 
               und Physik 3 (1882), 265 - 284
%H A064081 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 A064081 Cf. A024049, A064078, A064079, A064080, A064082, A064083.
%Y A064081 Sequence in context: A035048 A072044 A127138 this_sequence A099438 A002178 
               A013558
%Y A064081 Adjacent sequences: A064078 A064079 A064080 this_sequence A064082 A064083 
               A064084
%K A064081 nonn
%O A064081 1,1
%A A064081 Jens Voss (jens.voss(AT)poet.de), Sep 04 2001
%E A064081 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2001
%E A064081 Definition corrected by Jerry Metzger, Nov 04 2009