A225448 10-adic integer x such that x^7 = -7.
7, 5, 6, 7, 8, 9, 0, 5, 3, 7, 3, 3, 6, 4, 6, 6, 6, 5, 0, 1, 9, 2, 0, 2, 6, 0, 4, 1, 8, 0, 4, 7, 9, 7, 6, 4, 0, 4, 0, 9, 9, 2, 5, 6, 0, 8, 3, 5, 4, 9, 7, 1, 5, 0, 8, 1, 0, 2, 1, 0, 1, 8, 9, 4, 3, 0, 4, 0, 3, 9, 8, 6, 9, 2, 1, 4, 2, 2, 1, 4, 8, 7, 0, 0, 0, 4, 7, 0, 0, 6, 4, 1, 1, 6, 8, 3, 5, 8, 0, 2
Offset: 0
Examples
7^7 == -7 (mod 10).
57^7 == -7 (mod 10^2).
657^7 == -7 (mod 10^3).
7657^7 == -7 (mod 10^4).
87657^7 == -7 (mod 10^5).
987657^7 == -7 (mod 10^6).
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..10000
Crossrefs
Cf. A225445.
Programs
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PARI
n=0;for(i=1,100,m=(10^i-7);for(x=0,9,if(((n+(x*10^(i-1)))^7)%(10^i)==m,n=n+(x*10^(i-1));print1(x", ");break)))
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PARI
N=100; Vecrev(digits(lift(chinese(Mod((-7+O(2^N))^(1/7), 2^N), Mod((-7+O(5^N))^(1/7), 5^N)))), N) \\ Seiichi Manyama, Aug 06 2019
Comments