Problem

The number 3750 satisfies φ(3750) = 1000. [In the next chapter we’ll see how to compute φ(...

The number 3750 satisfies φ(3750) = 1000. [In the next chapter we’ll see how to compute φ(3750) with very little work.] Find a number a that has the following three properties:

(i) a 73003 (mod 3750).

(ii) 1 a 5000.

(iii) a is not divisible by 7. 

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Solutions For Problems in Chapter 10