TEST BANK FOR Mathematical Analysis 2nd Edition By Apostol

Exam (elaborations) TEST BANK FOR Mathematical Analysis 2nd Edition By Apostol The Real And Complex Number Systems Integers 1.1 Prove that there is no largest prime. Proof : Suppose p is the largest prime. Then p!+1 is NOT a prime. So, there exists a prime q such that q |p! + 1 ) q |1 which is impossible. So, there is no largest prime. Remark: There are many and many proofs about it. The proof that we give comes from Archimedes 287-212 B. C. In addition, Euler Leonhard (1707-1783) fin...