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A225451
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10-adic integer x such that x^7 = 1/3.
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2
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3, 6, 5, 2, 4, 7, 7, 9, 5, 8, 0, 9, 1, 6, 5, 8, 9, 4, 6, 6, 9, 0, 3, 4, 6, 5, 0, 9, 5, 2, 2, 9, 4, 8, 6, 1, 7, 7, 0, 0, 0, 8, 1, 9, 3, 0, 4, 1, 6, 0, 1, 8, 5, 3, 2, 8, 8, 6, 9, 4, 9, 4, 7, 7, 1, 1, 4, 2, 2, 0, 4, 8, 4, 1, 6, 3, 4, 9, 5, 2, 2, 0, 9, 8, 6, 2, 2, 0, 7, 1, 0, 1, 5, 5, 7, 2, 3, 4, 5, 6
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OFFSET
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0,1
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COMMENTS
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This is the 10's complement of A225442.
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LINKS
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EXAMPLE
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3^7 == -3 (mod 10).
63^7 == -33 (mod 10^2).
563^7 == -333 (mod 10^3).
2563^7 == -3333 (mod 10^4).
42563^7 == -33333 (mod 10^5).
742563^7 == -333333 (mod 10^6).
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PROG
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(PARI) n=0; for(i=1, 100, m=(2*(10^i-1)/3)+1; 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
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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