TEST BANK FOR Mathematical analysis 2nd Edition By Apostol Converted
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Exam (elaborations) TEST BANK FOR Mathematical analysis 2nd Edition By Apostol (solution manual)
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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) find another method to show it. The method is important since
it develops to study the theory of numbers by analytic method. The r...
Exam (elaborations)
Exam (elaborations) TEST BANK FOR Mathematical analysis 2nd Edition By Apostol (solution manual)
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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) find another method to show it. The method is important since it develops to study the theory of numbers by analytic method. The r...
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