A225457 10-adic integer x such that x^9 = 7.

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

Offset

0,1

Links

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

Example

       7^9 == 7 (mod 10).
       7^9 == 7 (mod 10^2).
     607^9 == 7 (mod 10^3).
    9607^9 == 7 (mod 10^4).
   49607^9 == 7 (mod 10^5).
  249607^9 == 7 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=7; 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((7+O(2^N))^(1/9), 2^N), Mod((7+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 07 2019

Crossrefs

Sequence in context: A076421 A196763 A321106 * A188928 A036479 A085966

Adjacent sequences: A225454 A225455 A225456 * A225458 A225459 A225460

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved