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You may wish to write code to answer these questions If p is a prime...

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Algebra

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You may wish to write code to answer these questions If p is a prime and g is an integer from the set 1 2 p 1 we say that g is a companion of p when ga mod pa e Z and 1 a p 1 2 p 1 1 Find all of the companions of 11 Justify your answer 2 Describe how you would go about proving or disproving the following statement 104651 is prime and 24578 is a companion of 104651 3 Let s be an integer such that 1 s 104651 and 24578 mod 104651 3190

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