A225456 10-adic integer x such that x^9 = 3.

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

Offset

0,1

Links

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

Example

       3^9 == 3 (mod 10).
      83^9 == 3 (mod 10^2).
     483^9 == 3 (mod 10^3).
    8483^9 == 3 (mod 10^4).
   68483^9 == 3 (mod 10^5).
  568483^9 == 3 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=3; for(x=0, 9, if(((n+(x*10^(i-1)))^9)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))
(PARI) N=100; Vecrev(digits(lift(chinese(Mod((3+O(2^N))^(1/9), 2^N), Mod((3+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 07 2019

Crossrefs

Sequence in context: A240242 A340782 A010628 * A366271 A212886 A127438

Adjacent sequences: A225453 A225454 A225455 * A225457 A225458 A225459

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved