Q. Find the primitive roots of G=<Z11*, x>?.

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Q. “If a group has primitive roots, it is a cyclic group”

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Q. Find the primitive roots of G = <Z10*, ×>.

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Q. “The group G = <Zp*, ×> is always cyclic.”

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Q. gcd( 18,300) =

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Q. ᶲ(37)=

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Q. ᶲ(35)=

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Q. What is the period of 7^m mod 19?

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Q. ᶲ(19)=

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Q. What is the period of 11 (mod 19)

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Q. What is the period of 17 (mod 19)

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Q. What is the period of 9 (mod 19)

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Q. How many primitive roots does Z<19> have?

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Q. What is the Discrete logarithm to the base 10 (mod 19) for a =7?

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Q. 3^201 mod 11 =

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Q. Find a number x between 0 and 28 with x^85 congruent to 6 mod 29.

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Q. What is the Discrete logarithm to the base 13 (mod 19) for a =13?

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Q. What is the Discrete logarithm to the base 15 (mod 19) for a =9?

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Q. Find a number x between 0 and 28 with x85 congruent to 6 mod 35.

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Q. Find a number ‘a’ between 0 and 72 with ‘a’ congruent to 9794 mod 73.

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