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A225447
10-adic integer x such that x^7 = -3.
1
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
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
KEYWORD
nonn,base
AUTHOR
Aswini Vaidyanathan, May 11 2013
STATUS
approved