Show that the numbers 1, 3, 3^2 , . . . , 3^15 and 0...
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Show that the numbers 1, 3, 3^2 , . . . , 3^15 and 0 for acomplete system of residues (mod 17). Do the numbers 1, 2, 2^2 , .. . , 2^15 and 0 constitute a complete system of residues (mod17)?
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Since is a cyclic group of order the set is a complete set of residue modulo if and only ifhas order Now by
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