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

Author

Aswini Vaidyanathan, May 11 2013

Keywords

• nonn
• base

Examples

			       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).
		

Links

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

Programs

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