(A) State the Fundamental Theorem of Arithmetic. (B) Let p 2 be a prime. Prove that...

  

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(A) State the Fundamental Theorem of Arithmetic. (B) Let p 2 be a prime. Prove that if p|n, then p|n. (C) Prove that p is irrational, where p > 2 is prime. (D) Prove that log2(k) is irrational if k > 1 is odd. (A) State the Fundamental Theorem of Arithmetic. (B) Let p 2 be a prime. Prove that if p|n, then p|n. (C) Prove that p is irrational, where p > 2 is prime. (D) Prove that log2(k) is irrational if k > 1 is odd.