A225447 10-adic integer x such that x^7 = -3.

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

Offset

0,1

Comments

This is the 10's complement of A225444.

Links

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

Example

      3^7 == -3 (mod 10).
     73^7 == -3 (mod 10^2).
    373^7 == -3 (mod 10^3).
   8373^7 == -3 (mod 10^4).
  48373^7 == -3 (mod 10^5).
  48373^7 == -3 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=(10^i-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

Cf. A225444.

Sequence in context: A053010 A118452 A286090 * A309601 A201903 A133056

Adjacent sequences: A225444 A225445 A225446 * A225448 A225449 A225450

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved