TEST BANK FOR Mathematical Analysis 2nd Edition By Apostol
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TEST BANK FOR Mathematical Analysis 2nd Edition By Apostol
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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...
Exam (elaborations)
TEST BANK FOR Mathematical Analysis 2nd Edition By Apostol
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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...
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