Question: 3.(3 points) Find a cubic root of 55 modulo 69. Problem 4.(3 points) Find a solution to the congruence 1:21 E 16 mod 44. [Hint

3.(3 points) Find a cubic root of 55 modulo 69. Problem 4.(3 points) Find a solution to the congruence 1:21 E 16 mod 44. [Hint Use the Chinese Remainder Theorem] Problem 5.(4 points) Show that (112" E 1 mod 715 for all integers a satisfying gcd(a,715) = 1. [Hint 715 = 5- 11 - 13] Problem 6.(4 points) Find all integers n > 1 such that (Mn) is prime

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