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A Fermat number is of the form Fn = 2n + 1.Find a positive integer...

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A Fermat number is of the form Fn = 2n + 1.Find a positive integer k where Fk is not a prime number.(a) Use Fermat's test to prove that Fk is not a prime number.(b) Use Miller-Rabin test to prove that Fk is not a prime number.

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Transcribed Image Text

A Fermat number is of the form Fn = 2n + 1.Find a positive integer k where Fk is not a prime number.(a) Use Fermat's test to prove that Fk is not a prime number.(b) Use Miller-Rabin test to prove that Fk is not a prime number.

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