The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A206551 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A206551

Moduli n for which the multiplicative group Modd n is cyclic.
(history; published version)

#22 by Michael De Vlieger at Wed Sep 13 13:49:34 EDT 2023

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proposed

approved

#21 by Michel Marcus at Wed Sep 13 12:28:27 EDT 2023

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editing

proposed

#20 by Michel Marcus at Wed Sep 13 12:28:23 EDT 2023

EXAMPLE

a(4) = 4 or for the multiplicative group Modd 4 with representatives [1,3]. The smallest positive primitive root is 3, because 3^2 == 1 (Modd 4). This group is cyclic, it is Z_2.

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approved

editing

#19 by Alois P. Heinz at Tue Sep 12 07:48:35 EDT 2023

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proposed

approved

#18 by Michel Marcus at Tue Sep 12 07:30:00 EDT 2023

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editing

proposed

#17 by Michel Marcus at Tue Sep 12 07:29:55 EDT 2023

EXAMPLE

a(2) = 2 for the multiplicative group Modd 2, with representative [1], and there is a primitive root, namely 1, because 1^1 = 1 == 1 (Modd 1). The cycle structure is [[1]], the group is Z_1.

because 1^1 = 1 == 1 (Modd 1). The cycle structure is [[1]], the group is Z_1.

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approved

editing

#16 by Michael De Vlieger at Tue Aug 09 14:16:58 EDT 2022

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proposed

approved

#15 by Michel Marcus at Tue Aug 09 12:22:20 EDT 2022

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editing

proposed

#14 by Michel Marcus at Tue Aug 09 12:22:17 EDT 2022

COMMENTS

For n=1 one has the Modd 1 residue class [0], the integers. The group of order 1 is the cyclic group Z_1 with the unit element 0==1 (Modd 1). [Changed by Wolfdieter Lang, Apr 04 2012]

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approved

editing

#13 by N. J. A. Sloane at Wed Feb 12 18:15:32 EST 2014

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proposed

approved