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The 10-adic integer x = ...7537010000001 satisfying x^7 + 1 = y, y^7 + 1 = z, z^7 + 1 = w, and w^7 + 1 = x.
4

%I #13 Sep 24 2018 10:49:19

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

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

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

%N The 10-adic integer x = ...7537010000001 satisfying x^7 + 1 = y, y^7 + 1 = z, z^7 + 1 = w, and w^7 + 1 = x.

%H Seiichi Manyama, <a href="/A319531/b319531.txt">Table of n, a(n) for n = 0..5000</a>

%e 7537010000001^7 + 1 == 2759070000002 (mod 10^13),

%e 2759070000002^7 + 1 == 6063360000129 (mod 10^13),

%e 6063360000129^7 + 1 == 6485222491010 (mod 10^13),

%e 6485222491010^7 + 1 == 7537010000001 (mod 10^13).

%Y Cf. A319530 (w), A319532 (y), A319533 (z).

%Y Cf. A319260, A319261, A319262, A319263.

%K nonn,base

%O 0,10

%A _Seiichi Manyama_, Sep 22 2018