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

Author

Aswini Vaidyanathan, May 11 2013

Keywords

• nonn
• base

Examples

			      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).
		

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)))^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