A225444 10-adic integer x such that x^7 = 3.

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

Offset

0,1

Links

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

Example

       7^7 == 3 (mod 10).
      27^7 == 3 (mod 10^2).
     627^7 == 3 (mod 10^3).
    1627^7 == 3 (mod 10^4).
   51627^7 == 3 (mod 10^5).
  951627^7 == 3 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=3; 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((3+O(2^N))^(1/7), 2^N), Mod((3+O(5^N))^(1/7), 5^N)))), N) \\ Seiichi Manyama, Aug 06 2019

Crossrefs

Sequence in context: A128475 A377750 A309647 * A379605 A175408 A019934

Adjacent sequences: A225441 A225442 A225443 * A225445 A225446 A225447

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved