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Odd primesn pqgcd - PowerPoint PPT Presentation

p,q : 2 distinct odd primes n=pq gcd(x,pq) =1

p,q : 2 distinct odd primes n=pq gcd(x,pq) =1. a. Show that x 1/2 ?(n) ?1 (mod p) and x 1/2 ?(n) ?1 (mod q) p = 2k +1 & q = 2l +1 gcd(x,p)=1 & gcd(x,q) =1 x 1/2 ?(n) = x 1/2(p-1)(q-1) = x 1/2 (2k)(2l) = x 2kl .

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Odd primesn pqgcd - PowerPoint PPT Presentation

p,q : 2 distinct odd primes n=pq gcd(x,pq) =1