Prove that there are infinitely many primes of the form 4 k 3 .... | Filo
Prove that there are infinitely many primes of the form 4 k 3 .... | Filo
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2a) i) Prove that there are infinitely many prime numbers of the form 3k 2 with k ∈ Z. b) ii) Show that Fermat's Theorem is a special case of Euler's Theorem and then calculate Euler's φ-function for n = 50 and n = 170. iii) Prove that for any integer k with k > 2, there are only finitely many integers n such that φ(n) = k.
2a) i) Prove that there are infinitely many prime numbers of the form 3…
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