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A225442
10-adic integer x such that x^7 = -1/3.
2
7, 3, 4, 7, 5, 2, 2, 0, 4, 1, 9, 0, 8, 3, 4, 1, 0, 5, 3, 3, 0, 9, 6, 5, 3, 4, 9, 0, 4, 7, 7, 0, 5, 1, 3, 8, 2, 2, 9, 9, 9, 1, 8, 0, 6, 9, 5, 8, 3, 9, 8, 1, 4, 6, 7, 1, 1, 3, 0, 5, 0, 5, 2, 2, 8, 8, 5, 7, 7, 9, 5, 1, 5, 8, 3, 6, 5, 0, 4, 7, 7, 9, 0, 1, 3, 7, 7, 9, 2, 8, 9, 8, 4, 4, 2, 7, 6, 5, 4, 3
OFFSET
0,1
LINKS
EXAMPLE
7^7 == 3 (mod 10).
37^7 == 33 (mod 10^2).
437^7 == 333 (mod 10^3).
7437^7 == 3333 (mod 10^4).
57437^7 == 33333 (mod 10^5).
257437^7 == 333333 (mod 10^6).
PROG
(PARI) n=0; for(i=1, 100, m=(10^i-1)/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((-1/3+O(2^N))^(1/7), 2^N), Mod((-1/3+O(5^N))^(1/7), 5^N)))), N) \\ Seiichi Manyama, Aug 06 2019
CROSSREFS
Sequence in context: A222231 A011252 A165331 * A010507 A030710 A117037
KEYWORD
nonn,base
AUTHOR
Aswini Vaidyanathan, May 11 2013
STATUS
approved