A225445 10-adic integer x such that x^7 = 7.

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

Offset

0,1

Links

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

Example

      3^7 == 7 (mod 10).
     43^7 == 7 (mod 10^2).
    343^7 == 7 (mod 10^3).
   2343^7 == 7 (mod 10^4).
  12343^7 == 7 (mod 10^5).
  12343^7 == 7 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=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

Sequence in context: A279590 A351113 A201935 * A167877 A308430 A280136

Adjacent sequences: A225442 A225443 A225444 * A225446 A225447 A225448

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved