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

0,1

Comments

This is the 10's complement of A225445.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Example

       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).

Prog

(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)))
(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

Crossrefs

Cf. A225445.

Sequence in context: A199442 A280811 A072283 * A227537 A113812 A011198

Adjacent sequences: A225445 A225446 A225447 * A225449 A225450 A225451

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved