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Unformatted text preview: give a counter-example. 3. a. Prove that any number n so that n mod 4 = 3 has a prime factor p with p mod 4 = 3. b. Prove that there are inFnitely many primes p with p mod 4 = 3. 4. In your favorite programming language, write a program that takes no input and prints itself (its own code). Your program may not make system calls. 1...
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- Winter '12