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A225460 10-adic integer x such that x^9 = -7. 1

%I #16 Aug 16 2019 11:53:07

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

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

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

%N 10-adic integer x such that x^9 = -7.

%C This is the 10's complement of A225457.

%H Seiichi Manyama, <a href="/A225460/b225460.txt">Table of n, a(n) for n = 0..10000</a>

%e 3^9 == -7 (mod 10).

%e 93^9 == -7 (mod 10^2).

%e 393^9 == -7 (mod 10^3).

%e 393^9 == -7 (mod 10^4).

%e 50393^9 == -7 (mod 10^5).

%e 750393^9 == -7 (mod 10^6).

%o (PARI) n=0;for(i=1,100,m=(10^i-7);for(x=0,9,if(((n+(x*10^(i-1)))^9)%(10^i)==m,n=n+(x*10^(i-1));print1(x", ");break)))

%o (PARI) N=100; Vecrev(digits(lift(chinese(Mod((-7+O(2^N))^(1/9), 2^N), Mod((-7+O(5^N))^(1/9), 5^N)))), N) \\ _Seiichi Manyama_, Aug 05 2019

%Y Cf. A225408, A225457.

%K nonn,base

%O 0,1

%A _Aswini Vaidyanathan_, May 11 2013

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Last modified September 3 02:10 EDT 2024. Contains 375649 sequences. (Running on oeis4.)