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%I #33 Sep 20 2018 09:20:02
%S 3,7,8,7,4,8,4,9,3,7,9,0,3,0,6,2,5,4,0,8,1,7,5,0,6,8,5,5,3,9,7,7,0,4,
%T 0,4,1,7,6,0,7,2,2,1,2,1,8,7,6,3,6,0,3,5,2,7,5,6,2,3,1,9,8,8,1,8,4,8,
%U 0,0,6,5,5,3,1,2,4,1,2,6,3,7,6,6,6,4,1,4,0,0,0,3,6,8,3,8,3,0,9,2
%N The 10-adic integer x = ...603097394847873 satisfying x^7 + 1 = y and y^7 + 1 = x.
%C Data generated using calculator (first 15 terms) and MATLAB (next 85 terms). Conjecture: There exists a pair of 10-adic integers satisfying x^n + 1 = y and y^n + 1 = x iff n == 3, 7, or 15 (mod 20).
%H Seiichi Manyama, <a href="/A317850/b317850.txt">Table of n, a(n) for n = 0..5000</a>
%e 603097394847873^7 + 1 == 480203107738498 (mod 10^15) and 480203107738498^7 + 1 == 603097394847873 (mod 10^15).
%Y Cf. A317864 (y).
%Y Cf. A318327-A318336.
%K nonn,base
%O 0,1
%A _Patrick A. Thomas_, Sep 01 2018
%E Offset changed to 0 by _Seiichi Manyama_, Sep 20 2018
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