Suppose n is a large odd number and k 2(n-1)/2 (mod n) is such that k...

   

Transcribed Image Text:

Suppose n is a large odd number and k 2(n-1)/2 (mod n) is such that k 1 (mod n) and k (-1) (mod n). (a) Suppose k 1 (mod n). Explain why this implies that n is not prime. (b) Suppose k 1 (mod n). Explain how to use this information to factor n.2 Suppose n is a large odd number and k 2(n-1)/2 (mod n) is such that k 1 (mod n) and k (-1) (mod n). (a) Suppose k 1 (mod n). Explain why this implies that n is not prime. (b) Suppose k 1 (mod n). Explain how to use this information to factor n.2