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A272598
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Numbers n such that the multiplicative group modulo n is the direct product of 8 cyclic groups.
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9
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2042040, 2282280, 2762760, 2984520, 3483480, 3527160, 3612840, 3723720, 4037880, 4084080, 4269720, 4444440, 4555320, 4564560, 4772040, 4869480, 4924920, 5091240, 5165160, 5383560, 5442360, 5525520, 5542680, 5645640, 5754840, 5811960, 5969040, 6016920, 6126120, 6163080, 6240360, 6366360, 6431880, 6440280
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OFFSET
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1,1
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COMMENTS
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Numbers n such that A046072(n) = 8.
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LINKS
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MATHEMATICA
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A046072[n_] := Which[n == 1 || n == 2, 1,
OddQ[n], PrimeNu[n],
EvenQ[n] && !Divisible[n, 4], PrimeNu[n] - 1,
Divisible[n, 4] && !Divisible[n, 8], PrimeNu[n],
Divisible[n, 8], PrimeNu[n] + 1];
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PROG
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(PARI) for(n=1, 10^7, my(t=#(znstar(n)[2])); if(t==8, print1(n, ", ")));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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