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Given that 3 is a primitive root of 43 , find the following: (a) All positive integers less than 43 having order 6 modulo 43 . (b) All positive integers less than 43 having order 21 modulo 43 .
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(a) Verify that 2 is a primitive root of 19 , but not of 17 . (b) Show that 15 has no primitive root by calculating the orders of 2,4,7,8,11,13, and 14 modulo 15 . | Numerade
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