2021 GCIME
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Problem 1
Let denote the number of primes less than or equal to . Suppose . For some fixed what is the maximum possible number of solutions but not exceeding ?
Problem 2
Let denote the number of solutions to the given equation: What is the value of ?
Problem 3
Let be a cyclic kite. Let be the inradius of . Suppose is a perfect square. What is the smallest value of ?