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A272599
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Numbers n such that the multiplicative group modulo n is the direct product of 9 cyclic groups.
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9
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38798760, 46966920, 52492440, 59219160, 63303240, 66186120, 68643960, 70750680, 75555480, 77597520, 80120040, 81124680, 83723640, 84444360, 85645560, 86551080, 87807720, 92520120, 93573480, 93933840, 95975880, 98138040, 102222120, 102287640, 104772360, 104984880, 107267160, 107987880, 108228120, 109341960, 110427240
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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) = 9.
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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, 10^9, my(t=#(znstar(n)[2])); if(t==9, 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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