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The 10-adic integer x = ...09600385 satisfying x^7 + 1 = y, y^7 + 1 = z, z^7 + 1 = w, and w^7 + 1 = x.
8

%I #15 Sep 22 2018 03:45:02

%S 5,8,3,0,0,6,9,0,5,9,7,3,9,3,5,3,7,5,0,7,5,7,2,3,7,8,9,4,7,3,3,3,0,4,

%T 6,4,3,3,3,4,2,3,9,4,2,2,0,2,0,3,2,3,4,4,3,1,9,1,6,8,5,7,0,7,5,3,5,2,

%U 6,6,4,9,1,4,5,0,0,0,3,9,0,9,7,7,1,8,3,8,2,1,4

%N The 10-adic integer x = ...09600385 satisfying x^7 + 1 = y, y^7 + 1 = z, z^7 + 1 = w, and w^7 + 1 = x.

%C There is one other ring of four 10-adic integers meeting the same conditions.

%H Seiichi Manyama, <a href="/A319261/b319261.txt">Table of n, a(n) for n = 0..5000</a>

%e 9600385^7 + 1 == 22890626 (mod 10^8), 22890626^7 + 1 == 57109377 (mod 10^8), 57109377^7 + 1 == 72890754 (mod 10^8), and 72890754^7 + 1 == 9600385 (mod 10^8).

%Y Cf. A319260 (w), A319262 (y), A319263 (z).

%Y Cf. A317850, A317864.

%K nonn,base

%O 0,1

%A _Patrick A. Thomas_, Sep 16 2018

%E Offset changed to 0 by _Seiichi Manyama_, Sep 21 2018

%E More terms from _Seiichi Manyama_, Sep 21 2018