Course: Math 4150 (Spring’10) – Some Sample QuestionsInstructor: Prasad Tetali,office: Skiles 234,email: [email protected]Somewhat on the harder side!1. Show that there are infinitely many primes in the sequence 3n+ 2.2. Show that ifa3|b2, thena|b.3(a) Show that any two consecutive integers are relatively prime.(b) LetSbe any subset ofn+ 1 elements of the set
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