Let p,q be odd primes: a) How many solutions (modulo pq) are there to the congruences xr Ac‰?! 1 m

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Let p,q be odd primes:

a) How many solutions (modulo pq) are there to the congruences xr Ac‰?! 1 mod pq where r Acˆˆ mathbb{N}?

b) Find the largest integer n such that there exists an odd integer with order equal to n mod pq?

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